Black holes in CGOL

[Wyirm]

The information limit is the maximum rate at which information can move. The effect of this can be thought of as an imaginary bubble that expands at c which no information can leave. This is essentially an event horizon, and causality states no information can be transmitted faster than c, or escape the bubble. Inside a black hole however, your bubble can never leave the event horizon. It stays pointed towards the singularity (or ringularity).
The challenge at hand is whether or not a structure exists in cgol which no information can escape.

Is it true for any nxn bounding box, a finitely large periodic (non-spaceship) pattern can be constructed around the bounding box such that no information within that box can influence anything at all outside the bounding box of the black hole?

[dvgrn]

Is it true for any nxn bounding box, a finitely large periodic (non-spaceship) pattern can be constructed around the bounding box such that no information within that box can influence anything at all outside the bounding box of the black hole?

Let's see, this is trivially true for 1x1 and 2x2 (a ring of empty space will work) but things get very tricky very quickly after that.

A ring of stabilized unique-father-problem still life around any NxN bounding box will make it very difficult for any structure outside the ring to extract any useful information about the contents of the ring. But that's a whole lot different from no information of any kind being able to escape.

This is one of those cases where I definitely can't see how to prove anything ... but whereas I wouldn't even want to attempt to build a periodic pattern that can serve as a black-hole information barrier, I would very cheerfully volunteer to test any candidate black-hole information barrier that anyone else might want to build.

Give me let's say N=1000, and I'm pretty confident I can come up with something that will cause an information leak -- i.e., a different long-term result outside the barrier with my pattern in place as opposed to just an empty central area. I'm even more confident if N gets bumped up a few more orders of magnitude.

[toroidalet]

It is possible to construct a black hole for 3*3.
Only the following 6 patterns (8 orientations each) release gliders:

Code: Select all

x = 44, y = 20, rule = B3/S23
3o9b2o10b3o$2bo10b2o11bo$bo10bo11bo15$bo22b3o14b3o$3o21bobo15bo$o23bo
16bo!

All other patterns produce a traffic light, a blinker, a still life, a pi, or nothing. We can build our black hole outside the range of the pis' and the R's ash.

Here is a comparison between the 3 Rs:

Code: Select all

x = 3, y = 3, rule = TripleLife
FGF$ECE$E.B!

From this, we can find all the possible gliders and block them:

Code: Select all

x = 359, y = 359, rule = TripleLife
48.ABE$48.DAG$48.BGF46$ADB$BAG$EGF94$210.2G$210.G2.G2$210.G2.G$209.G
2.G11.2G9.2G$209.G.G11.G2.G7.G2.G$210.G9.2G.G3.G5.G3.G.2G$221.G.G2.G
7.G2.G.G$203.B.B4.2G10.4G9.4G$204.FC4.2G$203.ABED$204.2E18.G11.G$223.
2G11.2G2$223.2G11.2G$224.G11.G3$222.4G9.4G$221.G.G2.G7.G2.G.G$220.2G.
G3.G5.G3.G.2G$223.G2.G7.G2.G$179.FAB42.2G9.2G$178.A.GF$179.EG3$180.B.
B$181.FC$180.ABED54.2G$181.2E55.2G2$198.B$199.B37.G.2G$167.A29.CBG37.
G.G$166.F.E28.DAE38.G$166.A2G2.B.A24.ED38.2G$166.BF4.FBE63.2G$171.BC
2E63.2G$173.D6$197.B$197.ABE$196.BFCE40.2G$198.ED39.G2.G2.2G$239.G.G
4.G2.G$240.G5.G.G.G$243.2G.G2.G$191.B51.G2.G$178.CD9.BAF48.G4.G$176.B
.BAE9.BCE47.5G$177.BGED9.2ED$235.2G5.G$235.2G4.G.G$242.G$152.B.A94.2G
9.2G$153.FBE79.3G9.5G7.5G$152.BC2E80.2G8.2G2.G.G5.G.G2.2G$154.D78.2G
10.G.G3.3G3.3G3.G.G$233.3G9.G.G3.2G5.2G3.G.G$234.G.G9.2G3.G7.G3.2G$
148.2G85.2G9.2G15.2G$144.2G.G2.G.2G94.2G11.2G$144.G4.G2.2G94.2G11.2G$
148.G99.2G11.2G$145.G.G$248.2G11.2G$216.DB30.2G11.2G$215.B.F30.2G11.
2G$215.D2F28.2G15.2G$246.2G3.G7.G3.2G$245.G.G3.2G5.2G3.G.G$150.G13.G
80.G.G3.3G3.3G3.G.G$150.2G11.2G81.2G2.G.G5.G.G2.2G$152.G9.G84.5G7.5G$
149.4G3.G.G3.4G83.2G9.2G$148.G3.G2.2G.2G2.G3.G$148.G3.G9.G3.G$149.G.G
11.G.G$150.G13.G2$263.2G$263.2G2$264.G$150.G13.G41.2G55.G.G$149.G.G
11.G.G40.3G53.G2.G$148.G3.G9.G3.G33.2G2.G2.G.G51.G2.G$148.G3.G2.2G.2G
2.G3.G33.2G2.2G2.2G$149.4G3.G.G3.4G11.2G25.2G55.G2.G$152.G9.G10.2G4.
4G80.2G$150.2G11.2G8.2G2.2G.3G9.2G73.2G12.G3.G$150.G13.G12.G13.G2.G2.
2G68.2G7.G3.G.G.G.G3.G$191.G.G4.G2.G72.G5.G.G.G.G5.G$192.G5.G.G.G65.G
3.2G2.2G.G.G3.G.G.2G2.2G$195.2G.G2.G65.G.G7.G.G7.G.G$195.G2.G67.G2.G
7.G.G7.G.G$192.G4.G8.2G11.2G44.G2.G$192.5G8.G2.2G7.2G2.G$204.6G7.6G
42.G2.G$194.G9.G5.3G.3G5.G44.2G$193.G.G7.2G5.3G.3G5.2G$194.G8.3G15.3G
$204.G.3G9.3G.G$205.3G11.3G55.G.G7.G.G$206.G13.G56.G.G7.G.G$272.2G2.
2G.G.G3.G.G.2G2.2G$274.G5.G.G.G.G5.G$276.G3.G.G.G.G3.G$206.G13.G60.G
3.G$205.3G11.3G$204.G.3G9.3G.G$203.3G15.3G$203.2G5.3G.3G5.2G11.G.G$
204.G5.3G.3G5.G11.G$204.6G7.6G6.2G2.G4.G$205.G2.2G7.2G2.G7.2G.G2.G.2G
52.2G$206.2G11.2G12.2G10.G.G43.2G$244.G$239.2G2.G4.G$239.2G.G2.G.2G
41.G.2G$243.2G45.G.G$291.G$291.2G$242.G11.G36.2G3.2G$242.G11.G36.2G3.
2G$241.G13.G$297.G$240.G.G11.G.G39.G.G14.2G3.2G$242.3G7.3G40.G2.G9.G
2.G3.G.G3.G2.G$294.G2.G9.G.2G4.G.G4.2G.G$242.3G7.3G52.G.G.2G.G3.G.2G.
G.G$240.2G13.2G37.G2.G10.2G3.G5.G3.2G$239.G2.G11.G2.G38.2G$240.2G13.
2G2$240.2G13.2G$239.G2.G11.G2.G$240.2G13.2G$242.3G7.3G2$242.3G7.3G$
240.G.G11.G.G11.2G38.2G3.G5.G3.2G$264.2G4.4G33.G.G.2G.G3.G.2G.G.G$
241.G13.G8.2G2.2G.3G33.G.2G4.G.G4.2G.G$242.G11.G13.G39.G2.G3.G.G3.G2.
G$242.G11.G23.G.G32.2G3.2G$277.G$272.2G2.G4.G$272.2G.G2.G.2G$276.2G3$
324.2G6.3G11.3G$324.2G8.G3.G3.G3.G$324.2G5.G.2G4.G.G4.2G.G$325.G5.G2.
G3.2G.2G3.G2.G$324.G.G5.3G11.3G$323.2G.G5.3G11.3G$278.2G11.2G$277.G2.
G9.G2.G$278.3G9.3G31.2G$278.G13.G31.2G$277.G.G11.G.G$279.G11.G$276.G
3.G9.G3.G$276.G2.G11.G2.G37.3G11.3G$277.2G13.2G38.3G11.3G$331.G2.G3.
2G.2G3.G2.G$277.2G13.2G37.G.2G4.G.G4.2G.G$276.G2.G11.G2.G39.G3.G3.G3.
G$276.G3.G9.G3.G37.3G11.3G$279.G11.G$277.G.G11.G.G$278.G13.G$278.3G9.
3G13.G$277.G2.G9.G2.G7.3G.2G2.2G35.2G$278.2G11.2G8.4G4.2G35.G2.G$305.
2G$346.G2.G$345.G2.G$345.G.G$346.G4.2G$303.2G11.2G33.G.G$301.G3.2G7.
2G3.G26.2G4.3G$301.G.G.2G7.2G.G.G26.2G5.2G$301.6G7.6G30.2G$350.3G3$
302.G.G11.G.G32.2G$303.2G11.2G33.2G2$303.2G11.2G$302.G.G11.G.G3$328.
2G$301.6G7.6G4.2G.G2.G.2G$301.G.G.2G7.2G.G.G4.G4.G2.2G14.2G$301.G3.2G
7.2G3.G8.G18.G2.G2.2G$303.2G11.2G7.G.G19.G.G4.G2.G$334.2G12.G5.G.G.G$
330.2G2.2G2.2G11.2G.G2.G$330.G.G2.G2.2G11.G2.G$331.3G14.G4.G$332.2G
14.5G2$350.G$349.G.G$350.G!

The glider pair at the bottom should be 4 gliders, 2 of which are at the same place but delayed a generation, and the squares have been delayed 4 generations because they would interact with the other glider.

Now, advance the oscillators that eat the square 4 generations, add in an R, and copy it, and we get a 3*3 black hole:

Code: Select all

x = 457, y = 457, rule = B3/S23
8bo439bo$7bobo437bobo$8bo439bo2$6b5o14b2o403b2o14b5o$5bo4bo14b3o401b3o
14bo4bo$4bo2bo11b2o2bo2bobo399bobo2bo2b2o11bo2bo$bo2bob2o11b2o2b2o2b2o
399b2o2b2o2b2o11b2obo2bo$obobo5bo12b2o407b2o12bo5bobobo$bo2bo4bobo19bo
bo389bobo19bobo4bo2bo$4b2o2bo2bo18bo9bobo2b3ob3o2bobo343bobo2b3ob3o2bo
bo9bo18bo2bo2b2o$9b2o14b2o2bo4bo3bo3bo2bobobobo2bo3bo339bo3bo2bobobobo
2bo3bo3bo4bo2b2o14b2o$25b2obo2bob2o2bo2bo6bobo6bo2bo337bo2bo6bobo6bo2b
o2b2obo2bob2o$29b2o6bo4b3o7b3o4bo337bo4b3o7b3o4bo6b2o$43b2o7b2o349b2o
7b2o5$6b2o441b2o$6b2o441b2o2$43b2o7b2o349b2o7b2o$6b3o28bo4b3o7b3o4bo
337bo4b3o7b3o4bo28b3o$7b2o28bo2bo6bobo6bo2bo337bo2bo6bobo6bo2bo28b2o$
4b2o5b2o25bo3bo2bobobobo2bo3bo339bo3bo2bobobobo2bo3bo25b2o5b2o$4b3o4b
2o27bobo2b3ob3o2bobo343bobo2b3ob3o2bobo27b2o4b3o$5bobo441bobo$6b2o4bo
431bo4b2o$11bobo429bobo$10bo2bo429bo2bo$9bo2bo431bo2bo$52b2o15bo7bo
301bo7bo15b2o$9bo2bo35b2o4b4o6b2o15b2o291b2o15b2o6b4o4b2o35bo2bo$11b2o
35b2o2b2ob3o13bo3bo305bo3bo13b3ob2o2b2o35b2o$52bo10bob2obo2bo3bo2bob2o
bo289bob2obo2bo3bo2bob2obo10bo$63bob2obo2bo3bo2bob2obo289bob2obo2bo3bo
2bob2obo$12b2o9b2o38bo2bo2b2o5b2o2bo2bo289bo2bo2b2o5b2o2bo2bo38b2o9b2o
$11bo13bo38bo17bo291bo17bo38bo13bo$67bo11bo297bo11bo$10bobo11bobo38bo
2bo9bo2bo293bo2bo9bo2bo38bobo11bobo$66b2o11b2o295b2o11b2o$10b2obo9bob
2o403b2obo9bob2o$13b2o7b2o42b2o11b2o295b2o11b2o42b2o7b2o$13b2o7b2o41bo
2bo9bo2bo293bo2bo9bo2bo41b2o7b2o$10b2o13b2o40bo11bo297bo11bo40b2o13b2o
$10bo15bo37bo17bo291bo17bo37bo15bo$10b3o11b3o36bo2bo2b2o5b2o2bo2bo289b
o2bo2b2o5b2o2bo2bo36b3o11b3o$33b2o28bob2obo2bo3bo2bob2obo289bob2obo2bo
3bo2bob2obo28b2o$10b3o11b3o6b2o28bob2obo2bo3bo2bob2obo289bob2obo2bo3bo
2bob2obo28b2o6b3o11b3o$10bo15bo44bo3bo305bo3bo44bo15bo$10b2o13b2o37b2o
15b2o291b2o15b2o37b2o13b2o$13b2o7b2o8bob2o33bo7bo301bo7bo33b2obo8b2o7b
2o$13b2o7b2o8bobo387bobo8b2o7b2o$10b2obo9bob2o6bo389bo6b2obo9bob2o$33b
2o387b2o$10bobo11bobo6b2o387b2o6bobo11bobo$33b2o387b2o$11bo13bo405bo
13bo$12b2o9b2o407b2o9b2o$81b2o291b2o$77b2obo2bob2o283b2obo2bob2o$77bo
4bo2b2o283b2o2bo4bo$35b3o9b3o31bo293bo31b3o9b3o$33bo4bo7bo4bo26bobo
295bobo26bo4bo7bo4bo$33bob2o3bo3bo3b2obo37b2o15bo7bo227bo7bo15b2o37bob
2o3bo3bo3b2obo$35b3o3bobo3b3o35b2o4b4o6b2o15b2o217b2o15b2o6b4o4b2o35b
3o3bobo3b3o$39bobobobo39b2o2b2ob3o13bo3bo231bo3bo13b3ob2o2b2o39bobobob
o$35b2o3bo3bo3b2o39bo10bob2obo2bo3bo2bob2obo215bob2obo2bo3bo2bob2obo
10bo39b2o3bo3bo3b2o$32bo4bo9bo4bo47bob2obo2bo3bo2bob2obo215bob2obo2bo
3bo2bob2obo47bo4bo9bo4bo$37bo9bo52bo2bo2b2o5b2o2bo2bo215bo2bo2b2o5b2o
2bo2bo52bo9bo$34b3o11b3o50bo17bo217bo17bo50b3o11b3o$104bo11bo223bo11bo
$102bo2bo9bo2bo219bo2bo9bo2bo$103b2o11b2o221b2o11b2o$34b3o11b3o355b3o
11b3o$37bo9bo55b2o11b2o221b2o11b2o55bo9bo$32bo4bo9bo4bo8b2o39bo2bo9bo
2bo219bo2bo9bo2bo39b2o8bo4bo9bo4bo$35b2o3bo3bo3b2o11bo2bo39bo11bo223bo
11bo39bo2bo11b2o3bo3bo3b2o$39bobobobo55bo17bo217bo17bo55bobobobo$35b3o
3bobo3b3o11bo2bo35bo2bo2b2o5b2o2bo2bo215bo2bo2b2o5b2o2bo2bo35bo2bo11b
3o3bobo3b3o$33bob2o3bo3bo3b2obo8bo2bo36bob2obo2bo3bo2bob2obo215bob2obo
2bo3bo2bob2obo36bo2bo8bob2o3bo3bo3b2obo$33bo4bo7bo4bo8bobo37bob2obo2bo
3bo2bob2obo215bob2obo2bo3bo2bob2obo37bobo8bo4bo7bo4bo$35b3o9b3o11bo46b
o3bo231bo3bo46bo11b3o9b3o$101b2o15b2o217b2o15b2o$61b2o3b2o38bo7bo227bo
7bo38b2o3b2o$61b2o3b2o321b2o3b2o2$116bobo219bobo$65bob2o46bo225bo46b2o
bo$65bobo42b2o2bo4bo217bo4bo2b2o42bobo$66bo43b2obo2bob2o217b2obo2bob2o
43bo$66b2o46b2o225b2o46b2o$66b2o56b2o205b2o56b2o$66b2o52b2obo2bob2o8b
2o11b2o151b2o11b2o8b2obo2bob2o52b2o$120bo4bo2b2o7bo2bo9bo2bo149bo2bo9b
o2bo7b2o2bo4bo$124bo12bo2bo9bo2bo149bo2bo9bo2bo12bo$121bobo15bo11bo
153bo11bo15bobo$137bo15bo149bo15bo$137b3o11b3o149b3o11b3o$68b3o9b3o53b
2o2bo9bo2b2o147b2o2bo9bo2b2o53b3o9b3o$66bo4bo7bo4bo51bo2bo11bo2bo147bo
2bo11bo2bo51bo4bo7bo4bo$66bob2o3bo3bo3b2obo52b2o13b2o149b2o13b2o52bob
2o3bo3bo3b2obo$68b3o3bobo3b3o291b3o3bobo3b3o$72bobobobo58b2o13b2o149b
2o13b2o58bobobobo$68b2o3bo3bo3b2o53bo2bo11bo2bo147bo2bo11bo2bo53b2o3bo
3bo3b2o$65bo4bo9bo4bo50b2o2bo9bo2b2o147b2o2bo9bo2b2o50bo4bo9bo4bo$70bo
9bo56b3o11b3o149b3o11b3o56bo9bo$67b3o11b3o53bo15bo10bo127bo10bo15bo53b
3o11b3o$139bo11bo11bobo125bobo11bo11bo$90b2o45bo2bo9bo2bo10bo127bo10bo
2bo9bo2bo45b2o$90b2o45bo2bo9bo2bo149bo2bo9bo2bo45b2o$67b3o11b3o54b2o
11b2o9b5o123b5o9b2o11b2o54b3o11b3o$70bo9bo10bo69bo4bo123bo4bo69bo10bo
9bo$65bo4bo9bo4bo4bobo67bo2bo129bo2bo67bobo4bo4bo9bo4bo$68b2o3bo3bo3b
2o6bo2bo64bo2bob2o129b2obo2bo64bo2bo6b2o3bo3bo3b2o$72bobobobo9bo2bo64b
obobo5bo123bo5bobobo64bo2bo9bobobobo$68b3o3bobo3b3o74bo2bo4bobo27bo11b
o41bo11bo27bobo4bo2bo74b3o3bobo3b3o$66bob2o3bo3bo3b2obo3bo2bo68b2o2bo
2bo13bo13bo11bo41bo11bo13bo13bo2bo2b2o68bo2bo3bob2o3bo3bo3b2obo$66bo4b
o7bo4bo5b2o73b2o9b3ob2o2b2o8bo13bo39bo13bo8b2o2b2ob3o9b2o73b2o5bo4bo7b
o4bo$68b3o9b3o11b2o80b4o4b2o85b2o4b4o80b2o11b3o9b3o$94bo2bo55b2o25b2o
11bobo11bobo37bobo11bobo11b2o25b2o55bo2bo$149b2o2b2o2b2o36b3o7b3o41b3o
7b3o36b2o2b2o2b2o$94bo2bo51bobo2bo2b2o139b2o2bo2bobo51bo2bo$93bo2bo53b
3o42b3o7b3o41b3o7b3o42b3o53bo2bo$93bobo55b2o40b2o13b2o37b2o13b2o40b2o
55bobo$94bo97bo2bo11bo2bo35bo2bo11bo2bo97bo$193b2o13b2o37b2o13b2o$94b
2o265b2o$94b2o97b2o13b2o37b2o13b2o97b2o$192bo2bo11bo2bo35bo2bo11bo2bo$
193b2o13b2o37b2o13b2o$195b3o7b3o41b3o7b3o2$195b3o7b3o41b3o7b3o$193bobo
11bobo37bobo11bobo$100b2o3b2o243b2o3b2o$95b2ob3obobob3ob2o82bo13bo39bo
13bo82b2ob3obobob3ob2o$94bo4bo2bobo2bo4bo82bo11bo41bo11bo82bo4bo2bobo
2bo4bo$94bo2bobobo3bobobo2bo82bo11bo41bo11bo82bo2bobobo3bobobo2bo$95b
2o3bo5bo3b2o233b2o3bo5bo3b2o5$211bobo29bobo$210bo35bo$205b2o2bo4bo27bo
4bo2b2o$205b2obo2bob2o27b2obo2bob2o$122b2o85b2o35b2o85b2o$95b2o3bo5bo
3b2o10bobo207bobo10b2o3bo5bo3b2o$94bo2bobobo3bobobo2bo10b3o205b3o10bo
2bobobo3bobobo2bo$94bo4bo2bobo2bo4bo11b2o205b2o11bo4bo2bobo2bo4bo$95b
2ob3obobob3ob2o9b2o211b2o9b2ob3obobob3ob2o$100b2o3b2o14b3o209b3o14b2o
3b2o2$116bo223bo$115bobo4b2o209b2o4bobo$116bo5b2o209b2o5bo2$114b5o219b
5o$113bo4bo219bo4bo$112bo2bo225bo2bo$109bo2bob2o225b2obo2bo$108bobobo
5bo219bo5bobobo$109bo2bo4bobo217bobo4bo2bo$112b2o2bo2bo217bo2bo2b2o$
117b2o219b2o9$119b2o215b2o$119b2o215b2o$119b2o215b2o$120bo215bo$119bob
o213bobo$118b2obo213bob2o3$119b2o215b2o$119b2o215b2o7$126bo3bo195bo3bo
$121bo3bobobobo3bo185bo3bobobobo3bo$119bo5bobobobo5bo181bo5bobobobo5bo
$117b2o2b2obobo3bobob2o2b2o177b2o2b2obobo3bobob2o2b2o$122bobo7bobo187b
obo7bobo$122bobo7bobo187bobo7bobo8$122bobo7bobo12b2o159b2o12bobo7bobo$
122bobo7bobo12b2o159b2o12bobo7bobo$117b2o2b2obobo3bobob2o2b2o177b2o2b
2obobo3bobob2o2b2o$119bo5bobobobo5bo10bo159bo10bo5bobobobo5bo$121bo3bo
bobobo3bo11bobo157bobo11bo3bobobobo3bo$126bo3bo15bo2bo157bo2bo15bo3bo$
145bo2bo159bo2bo2$145bo2bo159bo2bo$147b2o159b2o13$228bo$227b3o$227bo
13$147b2o159b2o$145bo2bo159bo2bo2$145bo2bo159bo2bo$126bo3bo15bo2bo157b
o2bo15bo3bo$121bo3bobobobo3bo11bobo157bobo11bo3bobobobo3bo$119bo5bobob
obo5bo10bo159bo10bo5bobobobo5bo$117b2o2b2obobo3bobob2o2b2o177b2o2b2obo
bo3bobob2o2b2o$122bobo7bobo12b2o159b2o12bobo7bobo$122bobo7bobo12b2o
159b2o12bobo7bobo8$122bobo7bobo187bobo7bobo$122bobo7bobo187bobo7bobo$
117b2o2b2obobo3bobob2o2b2o177b2o2b2obobo3bobob2o2b2o$119bo5bobobobo5bo
181bo5bobobobo5bo$121bo3bobobobo3bo185bo3bobobobo3bo$126bo3bo195bo3bo
7$119b2o215b2o$119b2o215b2o3$118b2obo213bob2o$119bobo213bobo$120bo215b
o$119b2o215b2o$119b2o215b2o$119b2o215b2o9$117b2o219b2o$112b2o2bo2bo
217bo2bo2b2o$109bo2bo4bobo217bobo4bo2bo$108bobobo5bo219bo5bobobo$109bo
2bob2o225b2obo2bo$112bo2bo225bo2bo$113bo4bo219bo4bo$114b5o219b5o2$116b
o5b2o209b2o5bo$115bobo4b2o209b2o4bobo$116bo223bo2$100b2o3b2o14b3o209b
3o14b2o3b2o$95b2ob3obobob3ob2o9b2o211b2o9b2ob3obobob3ob2o$94bo4bo2bobo
2bo4bo11b2o205b2o11bo4bo2bobo2bo4bo$94bo2bobobo3bobobo2bo10b3o205b3o
10bo2bobobo3bobobo2bo$95b2o3bo5bo3b2o10bobo207bobo10b2o3bo5bo3b2o$122b
2o85b2o35b2o85b2o$205b2obo2bob2o27b2obo2bob2o$205b2o2bo4bo27bo4bo2b2o$
210bo35bo$211bobo29bobo5$95b2o3bo5bo3b2o233b2o3bo5bo3b2o$94bo2bobobo3b
obobo2bo82bo11bo41bo11bo82bo2bobobo3bobobo2bo$94bo4bo2bobo2bo4bo82bo
11bo41bo11bo82bo4bo2bobo2bo4bo$95b2ob3obobob3ob2o82bo13bo39bo13bo82b2o
b3obobob3ob2o$100b2o3b2o243b2o3b2o$193bobo11bobo37bobo11bobo$195b3o7b
3o41b3o7b3o2$195b3o7b3o41b3o7b3o$193b2o13b2o37b2o13b2o$192bo2bo11bo2bo
35bo2bo11bo2bo$94b2o97b2o13b2o37b2o13b2o97b2o$94b2o265b2o$193b2o13b2o
37b2o13b2o$94bo97bo2bo11bo2bo35bo2bo11bo2bo97bo$93bobo55b2o40b2o13b2o
37b2o13b2o40b2o55bobo$93bo2bo53b3o42b3o7b3o41b3o7b3o42b3o53bo2bo$94bo
2bo51bobo2bo2b2o139b2o2bo2bobo51bo2bo$149b2o2b2o2b2o36b3o7b3o41b3o7b3o
36b2o2b2o2b2o$94bo2bo55b2o25b2o11bobo11bobo37bobo11bobo11b2o25b2o55bo
2bo$68b3o9b3o11b2o80b4o4b2o85b2o4b4o80b2o11b3o9b3o$66bo4bo7bo4bo5b2o
73b2o9b3ob2o2b2o8bo13bo39bo13bo8b2o2b2ob3o9b2o73b2o5bo4bo7bo4bo$66bob
2o3bo3bo3b2obo3bo2bo68b2o2bo2bo13bo13bo11bo41bo11bo13bo13bo2bo2b2o68bo
2bo3bob2o3bo3bo3b2obo$68b3o3bobo3b3o74bo2bo4bobo27bo11bo41bo11bo27bobo
4bo2bo74b3o3bobo3b3o$72bobobobo9bo2bo64bobobo5bo123bo5bobobo64bo2bo9bo
bobobo$68b2o3bo3bo3b2o6bo2bo64bo2bob2o129b2obo2bo64bo2bo6b2o3bo3bo3b2o
$65bo4bo9bo4bo4bobo67bo2bo129bo2bo67bobo4bo4bo9bo4bo$70bo9bo10bo69bo4b
o123bo4bo69bo10bo9bo$67b3o11b3o54b2o11b2o9b5o123b5o9b2o11b2o54b3o11b3o
$90b2o45bo2bo9bo2bo149bo2bo9bo2bo45b2o$90b2o45bo2bo9bo2bo10bo127bo10bo
2bo9bo2bo45b2o$139bo11bo11bobo125bobo11bo11bo$67b3o11b3o53bo15bo10bo
127bo10bo15bo53b3o11b3o$70bo9bo56b3o11b3o149b3o11b3o56bo9bo$65bo4bo9bo
4bo50b2o2bo9bo2b2o147b2o2bo9bo2b2o50bo4bo9bo4bo$68b2o3bo3bo3b2o53bo2bo
11bo2bo147bo2bo11bo2bo53b2o3bo3bo3b2o$72bobobobo58b2o13b2o149b2o13b2o
58bobobobo$68b3o3bobo3b3o291b3o3bobo3b3o$66bob2o3bo3bo3b2obo52b2o13b2o
149b2o13b2o52bob2o3bo3bo3b2obo$66bo4bo7bo4bo51bo2bo11bo2bo147bo2bo11bo
2bo51bo4bo7bo4bo$68b3o9b3o53b2o2bo9bo2b2o147b2o2bo9bo2b2o53b3o9b3o$
137b3o11b3o149b3o11b3o$137bo15bo149bo15bo$121bobo15bo11bo153bo11bo15bo
bo$124bo12bo2bo9bo2bo149bo2bo9bo2bo12bo$120bo4bo2b2o7bo2bo9bo2bo149bo
2bo9bo2bo7b2o2bo4bo$66b2o52b2obo2bob2o8b2o11b2o151b2o11b2o8b2obo2bob2o
52b2o$66b2o56b2o205b2o56b2o$66b2o46b2o225b2o46b2o$66bo43b2obo2bob2o
217b2obo2bob2o43bo$65bobo42b2o2bo4bo217bo4bo2b2o42bobo$65bob2o46bo225b
o46b2obo$116bobo219bobo2$61b2o3b2o321b2o3b2o$61b2o3b2o38bo7bo227bo7bo
38b2o3b2o$101b2o15b2o217b2o15b2o$35b3o9b3o11bo46bo3bo231bo3bo46bo11b3o
9b3o$33bo4bo7bo4bo8bobo37bob2obo2bo3bo2bob2obo215bob2obo2bo3bo2bob2obo
37bobo8bo4bo7bo4bo$33bob2o3bo3bo3b2obo8bo2bo36bob2obo2bo3bo2bob2obo
215bob2obo2bo3bo2bob2obo36bo2bo8bob2o3bo3bo3b2obo$35b3o3bobo3b3o11bo2b
o35bo2bo2b2o5b2o2bo2bo215bo2bo2b2o5b2o2bo2bo35bo2bo11b3o3bobo3b3o$39bo
bobobo55bo17bo217bo17bo55bobobobo$35b2o3bo3bo3b2o11bo2bo39bo11bo223bo
11bo39bo2bo11b2o3bo3bo3b2o$32bo4bo9bo4bo8b2o39bo2bo9bo2bo219bo2bo9bo2b
o39b2o8bo4bo9bo4bo$37bo9bo55b2o11b2o221b2o11b2o55bo9bo$34b3o11b3o355b
3o11b3o$103b2o11b2o221b2o11b2o$102bo2bo9bo2bo219bo2bo9bo2bo$104bo11bo
223bo11bo$34b3o11b3o50bo17bo217bo17bo50b3o11b3o$37bo9bo52bo2bo2b2o5b2o
2bo2bo215bo2bo2b2o5b2o2bo2bo52bo9bo$32bo4bo9bo4bo47bob2obo2bo3bo2bob2o
bo215bob2obo2bo3bo2bob2obo47bo4bo9bo4bo$35b2o3bo3bo3b2o39bo10bob2obo2b
o3bo2bob2obo215bob2obo2bo3bo2bob2obo10bo39b2o3bo3bo3b2o$39bobobobo39b
2o2b2ob3o13bo3bo231bo3bo13b3ob2o2b2o39bobobobo$35b3o3bobo3b3o35b2o4b4o
6b2o15b2o217b2o15b2o6b4o4b2o35b3o3bobo3b3o$33bob2o3bo3bo3b2obo37b2o15b
o7bo227bo7bo15b2o37bob2o3bo3bo3b2obo$33bo4bo7bo4bo26bobo295bobo26bo4bo
7bo4bo$35b3o9b3o31bo293bo31b3o9b3o$77bo4bo2b2o283b2o2bo4bo$77b2obo2bob
2o283b2obo2bob2o$81b2o291b2o$12b2o9b2o407b2o9b2o$11bo13bo405bo13bo$33b
2o387b2o$10bobo11bobo6b2o387b2o6bobo11bobo$33b2o387b2o$10b2obo9bob2o6b
o389bo6b2obo9bob2o$13b2o7b2o8bobo387bobo8b2o7b2o$13b2o7b2o8bob2o33bo7b
o301bo7bo33b2obo8b2o7b2o$10b2o13b2o37b2o15b2o291b2o15b2o37b2o13b2o$10b
o15bo44bo3bo305bo3bo44bo15bo$10b3o11b3o6b2o28bob2obo2bo3bo2bob2obo289b
ob2obo2bo3bo2bob2obo28b2o6b3o11b3o$33b2o28bob2obo2bo3bo2bob2obo289bob
2obo2bo3bo2bob2obo28b2o$10b3o11b3o36bo2bo2b2o5b2o2bo2bo289bo2bo2b2o5b
2o2bo2bo36b3o11b3o$10bo15bo37bo17bo291bo17bo37bo15bo$10b2o13b2o40bo11b
o297bo11bo40b2o13b2o$13b2o7b2o41bo2bo9bo2bo293bo2bo9bo2bo41b2o7b2o$13b
2o7b2o42b2o11b2o295b2o11b2o42b2o7b2o$10b2obo9bob2o403b2obo9bob2o$66b2o
11b2o295b2o11b2o$10bobo11bobo38bo2bo9bo2bo293bo2bo9bo2bo38bobo11bobo$
67bo11bo297bo11bo$11bo13bo38bo17bo291bo17bo38bo13bo$12b2o9b2o38bo2bo2b
2o5b2o2bo2bo289bo2bo2b2o5b2o2bo2bo38b2o9b2o$63bob2obo2bo3bo2bob2obo
289bob2obo2bo3bo2bob2obo$52bo10bob2obo2bo3bo2bob2obo289bob2obo2bo3bo2b
ob2obo10bo$11b2o35b2o2b2ob3o13bo3bo305bo3bo13b3ob2o2b2o35b2o$9bo2bo35b
2o4b4o6b2o15b2o291b2o15b2o6b4o4b2o35bo2bo$52b2o15bo7bo301bo7bo15b2o$9b
o2bo431bo2bo$10bo2bo429bo2bo$11bobo429bobo$6b2o4bo431bo4b2o$5bobo441bo
bo$4b3o4b2o27bobo2b3ob3o2bobo343bobo2b3ob3o2bobo27b2o4b3o$4b2o5b2o25bo
3bo2bobobobo2bo3bo339bo3bo2bobobobo2bo3bo25b2o5b2o$7b2o28bo2bo6bobo6bo
2bo337bo2bo6bobo6bo2bo28b2o$6b3o28bo4b3o7b3o4bo337bo4b3o7b3o4bo28b3o$
43b2o7b2o349b2o7b2o2$6b2o441b2o$6b2o441b2o5$43b2o7b2o349b2o7b2o$29b2o
6bo4b3o7b3o4bo337bo4b3o7b3o4bo6b2o$25b2obo2bob2o2bo2bo6bobo6bo2bo337bo
2bo6bobo6bo2bo2b2obo2bob2o$9b2o14b2o2bo4bo3bo3bo2bobobobo2bo3bo339bo3b
o2bobobobo2bo3bo3bo4bo2b2o14b2o$4b2o2bo2bo18bo9bobo2b3ob3o2bobo343bobo
2b3ob3o2bobo9bo18bo2bo2b2o$bo2bo4bobo19bobo389bobo19bobo4bo2bo$obobo5b
o12b2o407b2o12bo5bobobo$bo2bob2o11b2o2b2o2b2o399b2o2b2o2b2o11b2obo2bo$
4bo2bo11b2o2bo2bobo399bobo2bo2b2o11bo2bo$5bo4bo14b3o401b3o14bo4bo$6b5o
14b2o403b2o14b5o2$8bo439bo$7bobo437bobo$8bo439bo!

This shows the general principle of how we would build a black hole for a larger bounding box: find all possible glider (or spaceship) outputs, and use corner sparkers and highway robbers to pick them off one by one. For XWSS outputs, we would move the triangle of death far away that the XWSSes can pass through into their own triangle of death.
The next problem would probably be at about 8*8 or so, when we get loafers and switch engines as well. One solution would be to have an extremely high period oscillator which builds the triangle of death for the XWSSes, then destroys it and makes one for the loafers before the loafers arrive, then destroys it and rebuilds the XWSS one. It would be slightly harder but not impossible to deal with the switch engines in a similar manner. Then, around 36*3, we would start getting Gosper glider guns, which seems solvable with some extra complexity.
At some point it would probably be impossible, because we would get replicators, but the method of "place giant death traps extremely far away so that all the moving patterns have separated into layers of their respective speeds" should work for quite a while. There doesn't seem to be any reason to, though.

EDIT: Of course, a true "black hole"-type pattern would probably not eat all the gliders but save some of them and use them to destroy the ash inside, so that even if it got destroyed, the pattern inside the box could not have affected the final result.

[dvgrn]

At some point it would probably be impossible, because we would get replicators, but the method of "place giant death traps extremely far away so that all the moving patterns have separated into layers of their respective speeds" should work for quite a while.

At around 70x70 we would have to add "catch all possible (2,1)c/6 spaceships, puffers, and rakes" to the list.

But long before that (7x7 at the moment, isn't it?) we will have hit the point where we can't guarantee that our black hole is actually a black hole. Until we enumerate and test every pattern that fits in 7x7, we won't know for sure that none of them generate the mythical c/18 giraffeship (or whatever) that we haven't accounted for with our giant faraway death traps.

More likely a 7x7 or 8x8 soup might generate an unexpected ark, or maybe a pufferfish -- it's very hard to catch something like that successfully if you don't know it's coming.

[Macbi]

I think such a black hole does exist for any n. To construct it, go through all the n by n patterns. Make a border capable of containing the first one. Then, make a border capable of containing the second one when run inside the first border. Repeat this for all 2^n^2 patterns, and you have a border capable of containing any of them.

In other words, we either have 'for all n, there exists a black hole' or we have 'there exists some pattern capable of escaping any border put around it'.

[Wyirm]

I think such a black hole does exist for any n. To construct it, go through all the n by n patterns. Make a border capable of containing the first one. Then, make a border capable of containing the second one when run inside the first one. Repeat this for all 2^n^2 patterns, and you have a border capable of containing any of them.

In other words, we either have 'for all n, there exists a black hole' or we have 'there exists some pattern capable of escaping any border put around it'.

The problem is this would either imply an unstoppable object, or not work because we can put our border arbitrarily far away to differentiate between speeds. The difference between a black hole and an indestructible object is that the degrees of freedom for any pattern placed inside it limit it to one direction, and the structure does not necessarily have to perfectly eat objects inside it, just prevent any information inside of the region from affecting the outside of the structure. I can't see any way to easily disprove an "escapist pattern" but the larger n gets, the more disruptive patterns you have to worry about trapping. Puffers, breeders, infinite novelty patterns, only 1 escapist would have to be found.

[dvgrn]

In other words, we either have 'for all n, there exists a black hole' or we have 'there exists some pattern capable of escaping any border put around it'.

The problem is this would either imply an unstoppable object, or not work because we can put our border arbitrarily far away to differentiate between speeds...

Yeah, I would state the problem like this: "we either have 'for all n, there exists a black hole' or we have 'there exists some pattern capable of escaping any border put around it'... and beyond some very small value of n, we have no way of proving which of those is true."

I don't think "different speeds" is particularly relevant. Macbi's clever idea explodes the required size of the black hole to ridiculously impractical sizes, but makes it so that ultimately we only have to deal with one NxN pattern at a time.

For any given N, is it possible that there is a single specific NxN pattern that, when it's surrounded by an insane number of concentric rings of periodic borders that are all intended to catch something else entirely, can not be caught and contained by any possible, any size periodic border pattern placed around it?

It seems unlikely when you put it like that. There's a lot of room for cleverness in designing each such border. When we've finished designing roughly 2^(N^2) of those borders (quite a bit less than that due to N*N patterns that converge to the same descendant) then we've proved N*N. This is all strictly a theoretical thought experiment except for small single-digit N, of course.

At some value of N you're going to have to start dealing with the best-designed possible version of Andrew Wade's hypothetical ash-clearing replicator -- plus universal constructors that can stay inside the outermost border for a very very long time, launching any constructible spaceship that they want from any location they want, aimed at the outermost border.

I don't think that makes a difference, ultimately. We can (theoretically) design each border with complete knowledge of the exact pattern that we're trying to stop with that border. If there's an ash-clearing mechanism with no weaknesses that can be exploited by periodic patterns, then any possible border will fail. It seems very unlikely to me that any such ash-clearing mechanism exists -- but it also seems very unlikely to me that the conjecture that it does exist can ever be either proven or disproven.

[hotcrystal0]

But is a 4x4 black hole possible?

for such a pattern, you need to keep in mind that you would have to delete all gliders from 3×3 and also some additional glider-producing patterns, like B-heptomino and its cognates, herschels, and other heptominoes that produce gliders.(I do not think that there are any XWSS-producing patterns or switch engine-making ones at this scale.) In the diagram below, the red tracks with gray gliders at the ends mark where the gliders must be deleted.

Code: Select all

x = 69, y = 35, rule = LifeHistory
43.B7.B$42.B2A4.4B$42.ABA10B$40.2B2A13B$36.2B.19B$34.25B$31.8B.19B$30.
29B$30.30B$30.32B$30.32BD$30.32B2D$2DCD2.4D20.22B2A8B3D$D3C2.2DCD20.22B
2A8B4D$2CDC2.D3C20.32B.4D$4D2.2CDC20.10B.21B2.3DF$30.8B4.19B4.3DF$30.
6B4.20B6.3F$D3C2.4D11.A9.4B4.12B.6B$C2DC2.D3C12.A16.12B4.3B$C2DC2.C2D
C8.6A15.9B2AB$4D2.C2DC12.A16.8B.2A$21.A17.7B$39.7B$D3C2.4D29.6B$C2DC2.
D3C28.D6B$3DC2.C2DC27.2D6B$4D2.3DC26.3D5B$35.4D5B$34.4D.6B$C3D2.DC2D23.
4D.7B$3CD2.D3C22.4D2.6B$CDCD2.DCDC21.FDFD3.5B$2DCD2.3DC21.2FD5.B2CB$32.
F7.2C!

Here are some more patterns that fit in a 4×4 bounding box and produce gliders:

Code: Select all

#C the three that are very far from each other are methuselahs that produce gliders, while the ones on the right that are grouped together directly become 1 glider.
x = 91, y = 13, rule = LifeHistory
78.D2CD3.D2CD$78.2CDC3.2C2D$78.DC2D3.DCDC$48.D3C26.DC2D3.DCDC$DC2D21.
DC2D19.CDCD$3CD21.3CD19.3CD$2DCD21.CDCD19.DC2D26.3CD3.D2CD$2D2C21.2DC
D49.C3D3.2C2D$78.3DC3.2DCD$78.4D3.2DCD!

Keep in mind that some of them can be shifted one cell and still retain their fitting.

[dvgrn]

But is a 4x4 black hole possible?

for such a pattern, you need to keep in mind that you would have to delete all gliders from 3×3 and also some additional glider-producing patterns, like B-heptomino and its cognates, herschels, and other heptominoes that produce gliders.(I do not think that there are any XWSS-producing patterns or switch engine-making ones at this scale.) In the diagram below, the red tracks with gray gliders at the ends mark where the gliders must be deleted.

Sure, it's possible, according to the definition and following Macbi's outline above. It's not a particularly satisfying solution, but it's certainly possible to keep all information inside some area -- not even a particularly large area, compared to what you'd need for bigger central boxes like 7x7.

We can easily enumerate all of the 4x4 patterns that produce any kind of output outside let's say a 16384x16384 central area -- there are 7416 of them, in fact. There aren't any switch engines, as you say. There is one LWSS (in eight orientations):

Code: Select all

x = 4, y = 4, rule = B3/S23
3bo$o2bo$ob2o$3o!

The gliders and LWSSes can come out on these lanes:

Code: Select all

x = 1404, y = 1404, rule = LifeHistory
106B.16B.11B4.4B7.4B19.8B2.4B35.4B76.4B382.5B18.5B382.4B76.4B35.4B2.
8B19.4B7.4B4.11B.16B.106B$107B.16B.11B4.4B7.4B19.8B2.4B35.4B76.4B381.
5B18.5B381.4B76.4B35.4B2.8B19.4B7.4B4.11B.16B.107B$108B.16B.11B4.4B7.
4B19.8B2.4B35.4B76.4B380.5B18.5B380.4B76.4B35.4B2.8B19.4B7.4B4.11B.
16B.108B$109B.16B.11B4.4B7.4B19.8B2.4B35.4B76.4B379.5B18.5B379.4B76.
4B35.4B2.8B19.4B7.4B4.11B.16B.109B$110B.16B.11B4.4B7.4B19.8B2.4B35.4B
76.4B378.5B18.5B378.4B76.4B35.4B2.8B19.4B7.4B4.11B.16B.110B$111B.16B.
11B4.4B7.4B19.8B2.4B35.4B76.4B377.5B18.5B377.4B76.4B35.4B2.8B19.4B7.
4B4.11B.16B.111B$112B.16B.11B4.4B7.4B19.8B2.4B35.4B76.4B376.5B18.5B
376.4B76.4B35.4B2.8B19.4B7.4B4.11B.16B.112B$113B.16B.11B4.4B7.4B19.8B
2.4B35.4B76.4B375.5B18.5B375.4B76.4B35.4B2.8B19.4B7.4B4.11B.16B.113B$
114B.16B.11B4.4B7.4B19.8B2.4B35.4B76.4B374.5B18.5B374.4B76.4B35.4B2.
8B19.4B7.4B4.11B.16B.114B$115B.16B.11B4.4B7.4B19.8B2.4B35.4B76.4B373.
5B18.5B373.4B76.4B35.4B2.8B19.4B7.4B4.11B.16B.115B$10B1384.10B$10B
1384.10B$10B1384.10B$10B1384.10B$10B1384.10B$10B1384.10B$10B1384.10B$
10B1384.10B$10B1384.10B$10B1384.10B$10B1384.10B$10B1384.10B$10B1384.
10B$10B1384.10B$10B1384.10B$10B1384.10B$10B1384.10B$10B1384.10B$10B
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5B382.4B76.4B35.4B2.8B19.4B7.4B4.11B.16B.106B!

I guess it's important to keep in mind that the above definition of "black hole" doesn't mean that the mechanism has to completely clean up whatever is inside the 4x4 area, and it doesn't have to be repeatable in any way. It just has to guarantee that no information from the 4x4 box can escape beyond the event horizon -- and that's quite easy to guarantee.

Very likely some carefully designed scattering of blocks will do the trick, just outside the area where the 4x4 patterns produce ash. The minimal event horizon is somewhat bigger than a 256x256 box -- not sure how much bigger, but I think it might be able to stay inside 1024x1024.

We could arrange to repeatably catch all possible output from a 4x4 area, by arranging four huge V-shapes of glider-catching highway robbers, plus eight regular eaters to catch the LWSSes. But there doesn't seem to be any point in bothering with that, since catching the gliders doesn't clean up the central area.

We could wire the highway robbers to some kind of computer that shoots different gliders back to the center depending on which gliders came out. With a lot of design work, that would almost certainly allow for a repeatable cleanup of any 4x4 stuff magically appearing in the center (at predictable very-long intervals). If there were some really unlucky coincidences with different 4x4 patterns producing the same gliders, we might have to resort to Andrew Wade's ash-cleaning mechanisms, but that's perfectly doable if it's needed.

But magically appearing 4x4 patterns at T > 0 is ... not really what Conway's Life is ordinarily about. Which means we might as well just use well-spaced absorbing blocks, and keep the event horizon down to a reasonable size.

[dvgrn]

It does occur to me that the first post's definition of an "event horizon" doesn't match a real black hole's event horizon very well. It's only concerned about information radiating from inside the black hole.

From the point of view of an "inquisitive pattern" outside the black hole's event horizon, there's no problem at all with reaching inside the event horizon and extracting some information about what is there.

So there isn't any impermeable barrier from the perspective of the rest of the universe, only from the perspective of the NxN area at the center. Probably these structures really shouldn't be called "black holes" at all, since the analogy doesn't really hold up very well. They're more like just "information traps".

Unlike these weaker-definition black holes, black holes in the stronger sense -- not allowing the extraction of any information from inside their event horizons -- seem to me to be unlikely to exist in the Conway's Life universe.

[hotcrystal0]

But is a 4x4 black hole possible?

for such a pattern, you need to keep in mind that you would have to delete all gliders from 3×3 and also some additional glider-producing patterns, like B-heptomino and its cognates, herschels, and other heptominoes that produce gliders.(I do not think that there are any XWSS-producing patterns or switch engine-making ones at this scale.) In the diagram below, the red tracks with gray gliders at the ends mark where the gliders must be deleted.

Sure, it's possible, according to the definition and following Macbi's outline above. It's not a particularly satisfying solution, but it's certainly possible to keep all information inside some area -- not even a particularly large area, compared to what you'd need for bigger central boxes like 7x7.

We can easily enumerate all of the 4x4 patterns that produce any kind of output outside let's say a 16384x16384 central area -- there are 7416 of them, in fact. There aren't any switch engines, as you say. There is one LWSS (in eight orientations):

Code: Select all

x = 4, y = 4, rule = B3/S23
3bo$o2bo$ob2o$3o!

The gliders and LWSSes can come out on these lanes:

Code: Select all

big snip

I guess it's important to keep in mind that the above definition of "black hole" doesn't mean that the mechanism has to completely clean up whatever is inside the 4x4 area, and it doesn't have to be repeatable in any way. It just has to guarantee that no information from the 4x4 box can escape beyond the event horizon -- and that's quite easy to guarantee.

Very likely some carefully designed scattering of blocks will do the trick, just outside the area where the 4x4 patterns produce ash. The minimal event horizon is somewhat bigger than a 256x256 box -- not sure how much bigger, but I think it might be able to stay inside 1024x1024.

We could arrange to repeatably catch all possible output from a 4x4 area, by arranging four huge V-shapes of glider-catching highway robbers, plus eight regular eaters to catch the LWSSes. But there doesn't seem to be any point in bothering with that, since catching the gliders doesn't clean up the central area.

We could wire the highway robbers to some kind of computer that shoots different gliders back to the center depending on which gliders came out. With a lot of design work, that would almost certainly allow for a repeatable cleanup of any 4x4 stuff magically appearing in the center (at predictable very-long intervals). If there were some really unlucky coincidences with different 4x4 patterns producing the same gliders, we might have to resort to Andrew Wade's ash-cleaning mechanisms, but that's perfectly doable if it's needed.

But magically appearing 4x4 patterns at T > 0 is ... not really what Conway's Life is ordinarily about. Which means we might as well just use well-spaced absorbing blocks, and keep the event horizon down to a reasonable size.

Before we start constructing, why don't you show all the possible gliders?

[dvgrn]

Before we start constructing, why don't you show all the possible gliders?

It was going to take more than five minutes to write a script to collect all of the lanes, in any format other than the LifeHistory format I already posted. Here's the script I used. You're certainly welcome to modify it to collect the actual gliders:

Code: Select all

import golly as g

exploderlist = [286, 295, 309, 327, 339, 343, 355, 370, 378, 391, 398, 407, 438, 447, 475, 479, 535, 565, 566, 573, 583, 590, 607, 611, 613, 618, 625, 628, 634, 637, 638, 639, 654, 663, 675, 677, 678, 686, 687, 700, 701, 703, 707, 710, 717, 740, 789, 791, 798, 849, 860, 865, 866, 873, 877, 879, 930, 937, 940, 943, 957, 962, 980, 985, 990, 1047, 1063, 1070, 1078, 1083, 1084, 1110, 1111, 1114, 1116, 1119, 1125, 1130, 1132, 1138, 1166, 1182, 1199, 1222, 1226, 1227, 1235, 1243, 1247, 1250, 1253, 1255, 1256, 1259, 1263, 1299, 1329, 1330, 1350, 1357, 1378, 1380, 1442, 1479, 1487, 1495, 1502, 1508, 1511, 1512, 1518, 1578, 1582, 1586, 1588, 1593, 1598, 1599, 1605, 1607, 1620, 1698, 1713, 1725, 1727, 1730, 1732, 1735, 1737, 1743, 1752, 1755, 1759, 1807, 1810, 1811, 1812, 1816, 1821, 1825, 1828, 1838, 1855, 1857, 1858, 1862, 1870, 1873, 1876, 1885, 1886, 1899, 1914, 1915, 1921, 1928, 1932, 1937, 1938, 1945, 1949, 1966, 1978, 1980, 1981, 1982, 1989, 1990, 2005, 2009, 2014, 2020, 2021, 2071, 2078, 2094, 2126, 2156, 2183, 2206, 2220, 2222, 2237, 2239, 2250, 2262, 2271, 2276, 2277, 2358, 2367, 2396, 2397, 2403, 2412, 2455, 2462, 2467, 2475, 2492, 2494, 2495, 2502, 2511, 2515, 2519, 2527, 2598, 2603, 2622, 2623, 2644, 2658, 2660, 2673, 2674, 2679, 2686, 2700, 2743, 2750, 2756, 2760, 2845, 2858, 2868, 2919, 2924, 2935, 2957, 2958, 2974, 2975, 2985, 2990, 3012, 3023, 3025, 3028, 3030, 3036, 3038, 3044, 3124, 3155, 3156, 3161, 3167, 3172, 3176, 3177, 3179, 3183, 3207, 3210, 3214, 3235, 3240, 3250, 3255, 3257, 3291, 3351, 3355, 3378, 3391, 3397, 3415, 3417, 3427, 3438, 3442, 3467, 3479, 3487, 3506, 3507, 3510, 3511, 3512, 3522, 3566, 3599, 3601, 3603, 3608, 3620, 3622, 3623, 3624, 3638, 3642, 3650, 3655, 3656, 3671, 3693, 3698, 3706, 3713, 3714, 3716, 3723, 3724, 3732, 3736, 3737, 3739, 3746, 3751, 3752, 3755, 3767, 3769, 3770, 3791, 3795, 3797, 3799, 3803, 3813, 3821, 3847, 3854, 3894, 3895, 3897, 3898, 3901, 3922, 3924, 3932, 3939, 3948, 3954, 3995, 3997, 4002, 4003, 4004, 4017, 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5784, 5788, 5806, 5813, 5815, 5829, 5830, 5832, 5848, 5854, 5873, 5876, 5890, 5893, 5897, 5907, 5919, 5920, 5928, 5959, 5972, 5974, 5978, 5979, 6023, 6024, 6029, 6038, 6039, 6043, 6044, 6047, 6048, 6055, 6063, 6073, 6084, 6088, 6093, 6100, 6102, 6105, 6116, 6167, 6174, 6190, 6196, 6222, 6230, 6231, 6239, 6248, 6250, 6252, 6256, 6260, 6279, 6302, 6316, 6318, 6333, 6346, 6355, 6362, 6363, 6368, 6394, 6459, 6463, 6470, 6474, 6477, 6494, 6495, 6504, 6512, 6514, 6519, 6526, 6555, 6558, 6567, 6573, 6574, 6580, 6582, 6583, 6590, 6599, 6614, 6708, 6719, 6725, 6727, 6751, 6759, 6796, 6803, 6805, 6814, 6815, 6838, 6840, 6844, 6847, 6868, 6870, 6873, 6878, 6884, 6894, 6931, 6971, 6982, 6993, 6998, 7002, 7007, 7008, 7016, 7048, 7050, 7053, 7062, 7069, 7070, 7080, 7103, 7105, 7112, 7114, 7118, 7122, 7130, 7132, 7135, 7145, 7146, 7152, 7157, 7205, 7219, 7220, 7237, 7242, 7282, 7303, 7306, 7310, 7317, 7326, 7331, 7345, 7346, 7347, 7350, 7353, 7391, 7396, 7445, 7449, 7454, 7473, 7479, 7481, 7486, 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50928, 50930, 50931, 50932, 50935, 50939, 50940, 50959, 50974, 50983, 51004, 51007, 51031, 51035, 51046, 51049, 51063, 51095, 51099, 51102, 51109, 51110, 51119, 51127, 51129, 51134, 51155, 51169, 51230, 51237, 51254, 51258, 51259, 51262, 51267, 51277, 51281, 51284, 51289, 51290, 51292, 51298, 51300, 51305, 51308, 51310, 51312, 51314, 51319, 51330, 51331, 51346, 51357, 51358, 51360, 51361, 51373, 51375, 51397, 51399, 51405, 51406, 51409, 51410, 51416, 51417, 51418, 51424, 51425, 51432, 51433, 51434, 51435, 51436, 51444, 51447, 51485, 51486, 51489, 51495, 51499, 51502, 51506, 51509, 51517, 51519, 51532, 51535, 51539, 51544, 51549, 51553, 51563, 51569, 51571, 51575, 51576, 51586, 51589, 51591, 51606, 51611, 51613, 51631, 51637, 51642, 51644, 51652, 51656, 51661, 51675, 51679, 51701, 51702, 51715, 51725, 51729, 51735, 51738, 51743, 51746, 51749, 51751, 51753, 51755, 51758, 51760, 51762, 51767, 51769, 51770, 51775, 51783, 51787, 51791, 51798, 51802, 51814, 51820, 51822, 51837, 51840, 51841, 51844, 51847, 51859, 51861, 51862, 51867, 51887, 51895, 51897, 51903, 51912, 51917, 51929, 51932, 51933, 51937, 51938, 51942, 51947, 51948, 51958, 51965, 51970, 51977, 51992, 51996, 51999, 52000, 52015, 52019, 52023, 52025, 52027, 52029, 52039, 52049, 52050, 52053, 52057, 52062, 52071, 52080, 52085, 52089, 52098, 52100, 52101, 52103, 52111, 52112, 52114, 52121, 52123, 52124, 52125, 52129, 52130, 52138, 52146, 52147, 52170, 52171, 52172, 52173, 52174, 52177, 52180, 52182, 52185, 52195, 52196, 52198, 52201, 52202, 52210, 52217, 52219, 52245, 52251, 52264, 52267, 52271, 52279, 52280, 52366, 52381, 52387, 52389, 52390, 52403, 52406, 52412, 52414, 52429, 52435, 52439, 52483, 52518, 52521, 52523, 52526, 52531, 52532, 52536, 52540, 52597, 52601, 52605, 52611, 52615, 52617, 52621, 52629, 52630, 52638, 52645, 52646, 52651, 52652, 52654, 52655, 52656, 52657, 52661, 52663, 52667, 52675, 52680, 52690, 52691, 52702, 52705, 52718, 52719, 52721, 52722, 52725, 52729, 52733, 52734, 52779, 52853, 52854, 52857, 52861, 52870, 52874, 52875, 52876, 52883, 52886, 52887, 52890, 52891, 52895, 52901, 52902, 52904, 52908, 52914, 52918, 52925, 52926, 52930, 52931, 52936, 52981, 53031, 53054, 53084, 53086, 53091, 53100, 53106, 53301, 53391, 53399, 53411, 53414, 53420, 53438, 53522, 53530, 53550, 53558, 53566, 53567, 53580, 53585, 53593, 53599, 53610, 53614, 53616, 53618, 53619, 53623, 53653, 53660, 53680, 53686, 53693, 53726, 53727, 53783, 53787, 53800, 53825, 53836, 53837, 53838, 53843, 53853, 53858, 53864, 53865, 53866, 53869, 53894, 53910, 53924, 53957, 53974, 53977, 53982, 53998, 54030, 54038, 54043, 54048, 54083, 54090, 54102, 54106, 54107, 54109, 54110, 54113, 54126, 54157, 54159, 54172, 54173, 54174, 54190, 54196, 54204, 54212, 54213, 54214, 54221, 54226, 54227, 54228, 54233, 54235, 54238, 54244, 54256, 54260, 54295, 54299, 54303, 54310, 54317, 54318, 54319, 54323, 54330, 54334, 54337, 54352, 54355, 54363, 54383, 54387, 54391, 54394, 54407, 54412, 54413, 54414, 54417, 54419, 54427, 54431, 54451, 54452, 54455, 54458, 54459, 54491, 54495, 54503, 54507, 54511, 54514, 54516, 54570, 54573, 54574, 54575, 54578, 54588, 54589, 54610, 54640, 54672, 54683, 54684, 54690, 54692, 54696, 54703, 54707, 54718, 54745, 54751, 54814, 54823, 54829, 54832, 54884, 54888, 54919, 54931, 54942, 54946, 54948, 54952, 54959, 55008, 55055, 55059, 55068, 55071, 55072, 55083, 55087, 55122, 55123, 55124, 55132, 55181, 55182, 55191, 55197, 55207, 55212, 55241, 55257, 55258, 55260, 55271, 55276, 55290, 55326, 55339, 55340, 55343, 55346, 55347, 55349, 55353, 55357, 55359, 55365, 55366, 55371, 55373, 55374, 55378, 55388, 55391, 55393, 55395, 55399, 55409, 55410, 55415, 55417, 55421, 55426, 55427, 55445, 55460, 55463, 55472, 55473, 55478, 55481, 55482, 55483, 55485, 55490, 55491, 55496, 55497, 55498, 55499, 55508, 55510, 55515, 55516, 55525, 55527, 55534, 55540, 55542, 55549, 55559, 55570, 55574, 55578, 55591, 55592, 55595, 55598, 55599, 55602, 55604, 55607, 55609, 55611, 55612, 55613, 55617, 55622, 55624, 55626, 55631, 55635, 55639, 55641, 55644, 55655, 55658, 55664, 55667, 55669, 55672, 55673, 55674, 55677, 55688, 55689, 55692, 55694, 55699, 55704, 55708, 55714, 55719, 55720, 55723, 55729, 55730, 55740, 55746, 55749, 55756, 55761, 55763, 55765, 55769, 55771, 55775, 55778, 55779, 55784, 55792, 55793, 55794, 55798, 55799, 55806, 55811, 55814, 55820, 55823, 55826, 55833, 55836, 55841, 55846, 55851, 55854, 55855, 55861, 55868, 55870, 55879, 55887, 55889, 55890, 55902, 55911, 55914, 55928, 55934, 55939, 55941, 55948, 55950, 55953, 56010, 56011, 56022, 56034, 56035, 56040, 56055, 56062, 56063, 56065, 56066, 56068, 56071, 56073, 56074, 56078, 56085, 56088, 56091, 56093, 56096, 56107, 56111, 56112, 56145, 56150, 56153, 56154, 56160, 56163, 56176, 56186, 56192, 56193, 56200, 56205, 56206, 56211, 56219, 56223, 56227, 56229, 56230, 56254, 56263, 56264, 56267, 56274, 56277, 56286, 56294, 56297, 56298, 56300, 56308, 56309, 56311, 56339, 56351, 56352, 56354, 56357, 56358, 56369, 56373, 56381, 56431, 56433, 56460, 56472, 56475, 56476, 56492, 56495, 56501, 56506, 56508, 56521, 56524, 56531, 56536, 56561, 56562, 56574, 56603, 56614, 56619, 56625, 56628, 56694, 56711, 56719, 56741, 56742, 56743, 56748, 56755, 56766, 56790, 56791, 56798, 56799, 56801, 56826, 56871, 56926, 56931, 56970, 56974, 56975, 56996, 57031, 57039, 57047, 57055, 57056, 57127, 57145, 57158, 57174, 57178, 57187, 57188, 57224, 57226, 57229, 57230, 57231, 57260, 57273, 57289, 57299, 57308, 57379, 57404, 57405, 57443, 57445, 57450, 57464, 57487, 57499, 57503, 57507, 57524, 57527, 57533, 57546, 57563, 57584, 57585, 57615, 57616, 57623, 57624, 57633, 57634, 57641, 57643, 57648, 57653, 57654, 57656, 57671, 57683, 57685, 57686, 57690, 57694, 57702, 57707, 57709, 57710, 57714, 57719, 57722, 57724, 57728, 57729, 57730, 57732, 57736, 57737, 57740, 57741, 57747, 57750, 57756, 57763, 57766, 57779, 57787, 57809, 57811, 57814, 57828, 57832, 57842, 57854, 57855, 57878, 57884, 57885, 57887, 57891, 57892, 57900, 57920, 57923, 57926, 57932, 57933, 57939, 57942, 57943, 57944, 57946, 57947, 57949, 57951, 57952, 57958, 57964, 57966, 57968, 57984, 57985, 57991, 57994, 58012, 58013, 58015, 58024, 58028, 58029, 58030, 58067, 58073, 58076, 58084, 58088, 58131, 58134, 58135, 58141, 58143, 58148, 58152, 58159, 58165, 58172, 58189, 58191, 58197, 58204, 58208, 58222, 58231, 58235, 58239, 58252, 58254, 58264, 58265, 58266, 58272, 58276, 58280, 58285, 58286, 58293, 58295, 58302, 58303, 58312, 58321, 58322, 58331, 58335, 58351, 58364, 58400, 58403, 58413, 58423, 58426, 58451, 58475, 58480, 58482, 58485, 58487, 58489, 58491, 58495, 58496, 58497, 58501, 58509, 58515, 58519, 58523, 58531, 58535, 58546, 58548, 58550, 58551, 58554, 58565, 58580, 58583, 58585, 58595, 58609, 58611, 58614, 58615, 58616, 58617, 58619, 58623, 58627, 58646, 58647, 58651, 58654, 58655, 58661, 58662, 58663, 58676, 58685, 58706, 58721, 58730, 58736, 58738, 58743, 58769, 58776, 58779, 58793, 58794, 58797, 58798, 58806, 58807, 58808, 58809, 58811, 58812, 58815, 58821, 58838, 58850, 58856, 58859, 58861, 58870, 58876, 58895, 58907, 58909, 58910, 58913, 58918, 58922, 58926, 58927, 58940, 58941, 58942, 58968, 58969, 58971, 58975, 58981, 59002, 59011, 59020, 59034, 59035, 59050, 59052, 59066, 59070, 59088, 59089, 59091, 59122, 59163, 59168, 59179, 59223, 59281, 59285, 59295, 59296, 59309, 59371, 59408, 59409, 59410, 59412, 59416, 59417, 59423, 59424, 59425, 59434, 59435, 59439, 59452, 59454, 59456, 59457, 59462, 59467, 59468, 59469, 59475, 59476, 59478, 59481, 59487, 59493, 59508, 59510, 59511, 59517, 59524, 59525, 59526, 59527, 59542, 59549, 59554, 59557, 59558, 59559, 59565, 59566, 59568, 59574, 59581, 59584, 59585, 59587, 59590, 59591, 59596, 59598, 59601, 59604, 59615, 59618, 59620, 59629, 59631, 59634, 59642, 59645, 59646, 59653, 59659, 59669, 59670, 59687, 59688, 59705, 59706, 59709, 59712, 59715, 59716, 59717, 59721, 59729, 59730, 59733, 59757, 59763, 59772, 59776, 59777, 59784, 59785, 59786, 59788, 59792, 59793, 59794, 59809, 59816, 59822, 59823, 59824, 59825, 59826, 59833, 59834, 59838, 59841, 59849, 59855, 59862, 59868, 59874, 59875, 59880, 59883, 59890, 59903, 59907, 59919, 59922, 59928, 59929, 59932, 59935, 59936, 59937, 59950, 59951, 59964, 59965, 59966, 59975, 59998, 60001, 60016, 60021, 60022, 60024, 60025, 60032, 60033, 60035, 60037, 60046, 60049, 60059, 60062, 60080, 60082, 60084, 60085, 60086, 60116, 60118, 60121, 60124, 60131, 60135, 60145, 60154, 60161, 60164, 60170, 60173, 60175, 60177, 60186, 60194, 60199, 60201, 60202, 60211, 60214, 60217, 60218, 60222, 60223, 60230, 60239, 60246, 60250, 60253, 60260, 60270, 60271, 60272, 60274, 60276, 60283, 60284, 60287, 60290, 60304, 60305, 60310, 60313, 60318, 60320, 60328, 60329, 60347, 60349, 60351, 60354, 60364, 60370, 60378, 60381, 60396, 60401, 60410, 60437, 60454, 60455, 60465, 60467, 60479, 60499, 60530, 60554, 60556, 60558, 60569, 60571, 60579, 60581, 60582, 60586, 60591, 60593, 60596, 60599, 60600, 60602, 60604, 60627, 60641, 60656, 60658, 60679, 60693, 60694, 60701, 60705, 60709, 60711, 60715, 60717, 60720, 60722, 60724, 60727, 60732, 60733, 60752, 60754, 60755, 60769, 60776, 60784, 60786, 60806, 60809, 60820, 60824, 60826, 60833, 60834, 60839, 60840, 60847, 60848, 60851, 60853, 60861, 60866, 60871, 60879, 60881, 60886, 60892, 60893, 60895, 60899, 60913, 60914, 60947, 60949, 60950, 60951, 60955, 60965, 60967, 60971, 60973, 60982, 60986, 61008, 61009, 61023, 61032, 61063, 61067, 61069, 61075, 61076, 61080, 61082, 61089, 61090, 61095, 61096, 61103, 61106, 61109, 61110, 61113, 61122, 61127, 61135, 61136, 61142, 61148, 61155, 61169, 61203, 61214, 61215, 61223, 61273, 61275, 61283, 61326, 61333, 61334, 61339, 61341, 61343, 61357, 61359, 61389, 61393, 61394, 61401, 61403, 61404, 61470, 61482, 61484, 61487, 61507, 61509, 61519, 61521, 61522, 61524, 61527, 61529, 61531, 61535, 61537, 61543, 61544, 61550, 61552, 61564, 61565, 61575, 61589, 61594, 61602, 61604, 61608, 61609, 61613, 61614, 61615, 61630, 61655, 61664, 61667, 61675, 61699, 61703, 61707, 61714, 61722, 61731, 61742, 61749, 61758, 61763, 61773, 61778, 61790, 61804, 61809, 61810, 61818, 61819, 61821, 61823, 61838, 61842, 61868, 61870, 61871, 61881, 61883, 61884, 61887, 61893, 61894, 61899, 61901, 61907, 61910, 61922, 61947, 61950, 61951, 61967, 62014, 62018, 62020, 62021, 62025, 62029, 62035, 62043, 62045, 62051, 62060, 62062, 62066, 62074, 62077, 62093, 62094, 62099, 62107, 62109, 62125, 62126, 62134, 62140, 62141, 62149, 62151, 62156, 62167, 62169, 62213, 62218, 62229, 62230, 62234, 62236, 62237, 62243, 62260, 62290, 62292, 62293, 62303, 62304, 62319, 62320, 62327, 62331, 62332, 62349, 62352, 62353, 62358, 62359, 62361, 62364, 62368, 62369, 62371, 62372, 62376, 62380, 62388, 62389, 62391, 62392, 62398, 62405, 62410, 62414, 62416, 62417, 62420, 62479, 62487, 62491, 62498, 62500, 62505, 62506, 62507, 62515, 62522, 62526, 62551, 62555, 62563, 62567, 62572, 62619, 62620, 62621, 62635, 62636, 62637, 62649, 62654, 62663, 62675, 62678, 62683, 62692, 62693, 62699, 62721, 62722, 62724, 62729, 62732, 62735, 62739, 62746, 62749, 62752, 62755, 62764, 62766, 62773, 62775, 62779, 62780, 62783, 62784, 62787, 62792, 62801, 62802, 62803, 62817, 62826, 62827, 62830, 62839, 62849, 62852, 62857, 62861, 62862, 62863, 62865, 62867, 62871, 62879, 62881, 62882, 62889, 62890, 62891, 62897, 62899, 62902, 62903, 62912, 62920, 62932, 62937, 62938, 62946, 62947, 62952, 62958, 62964, 62966, 62967, 62979, 62988, 63009, 63019, 63020, 63024, 63030, 63034, 63035, 63039, 63043, 63048, 63053, 63166, 63168, 63173, 63174, 63181, 63183, 63191, 63234, 63237, 63241, 63255, 63263, 63264, 63275, 63294, 63310, 63381, 63411, 63422, 63431, 63500, 63501, 63502, 63511, 63531, 63532, 63542, 63546, 63547, 63549, 63559, 63564, 63571, 63575, 63583, 63587, 63604, 63620, 63621, 63636, 63652, 63655, 63670, 63676, 63687, 63690, 63699, 63705, 63709, 63711, 63716, 63717, 63720, 63723, 63725, 63727, 63735, 63741, 63743, 63747, 63751, 63756, 63758, 63762, 63772, 63777, 63782, 63787, 63790, 63793, 63797, 63814, 63815, 63816, 63821, 63829, 63832, 63836, 63839, 63857, 63859, 63870, 63875, 63876, 63905, 63907, 63914, 63919, 63920, 63924, 63925, 63926, 63933, 63944, 63946, 63952, 63954, 63958, 63962, 63963, 63975, 63976, 63980, 63991, 63998, 64002, 64003, 64004, 64008, 64009, 64015, 64018, 64023, 64024, 64025, 64027, 64031, 64032, 64033, 64044, 64048, 64049, 64064, 64067, 64071, 64076, 64084, 64085, 64088, 64089, 64093, 64101, 64103, 64104, 64109, 64113, 64116, 64119, 64124, 64133, 64139, 64140, 64152, 64156, 64158, 64159, 64164, 64168, 64172, 64178, 64181, 64185, 64195, 64202, 64205, 64206, 64207, 64214, 64216, 64220, 64222, 64238, 64242, 64246, 64254, 64257, 64261, 64266, 64268, 64272, 64279, 64287, 64288, 64299, 64312, 64318, 64321, 64322, 64323, 64324, 64325, 64340, 64350, 64352, 64355, 64364, 64378, 64379, 64384, 64390, 64395, 64400, 64403, 64405, 64411, 64417, 64419, 64425, 64427, 64428, 64433, 64434, 64439, 64441, 64443, 64446, 64450, 64452, 64455, 64457, 64458, 64472, 64473, 64474, 64484, 64504, 64506, 64517, 64522, 64539, 64565, 64567, 64570, 64588, 64592, 64593, 64594, 64595, 64600, 64604, 64608, 64623, 64643, 64645, 64646, 64650, 64651, 64656, 64659, 64662, 64664, 64665, 64670, 64674, 64676, 64682, 64687, 64688, 64690, 64696, 64706, 64721, 64722, 64727, 64730, 64734, 64736, 64739, 64749, 64750, 64771, 64773, 64776, 64778, 64784, 64790, 64797, 64802, 64804, 64808, 64810, 64812, 64818, 64820, 64821, 64825, 64830, 64832, 64845, 64851, 64856, 64857, 64860, 64861, 64864, 64867, 64876, 64882, 64896, 64910, 64911, 64912, 64922, 64924, 64925, 64930, 64935, 64945, 64949, 64953, 64961, 64967, 64980, 64983, 64984, 64985, 64989, 64990, 64997, 65005, 65009, 65013, 65028, 65033, 65034, 65063, 65086, 65088, 65101, 65166, 65167, 65178, 65223, 65239, 65244, 65281, 65288, 65302, 65310, 65311, 65319, 65332, 65333, 65334, 65338, 65358, 65369, 65371, 65414, 65415, 65423, 65429, 65431, 65434, 65438, 65449, 65453, 65464, 65474, 65477, 65478, 65482, 65489]
g.setrule("LifeHistory")
g.new("")
count = 0
for i in exploderlist:
    s = bin(i + 2**16)[3:]
    g.show(s)
    x, y = 0, 0
    while s!="":
      bit, s = s[:1], s[1:]
      if bit == "1":
        g.setcell(x,y,1)
      x += 1
      if x > 3:
        x = 0
        y += 1
    g.run(2**18)
    g.select([-8190,-8190,16384,16384])
    g.clear(0)
    g.select([-8290,-8290,16584,16584])
    g.clear(1)
    g.show(str(7415-count))
    count += 1

It's not clear that you really need to know all the specific individual lanes before dropping in a scattering of blocks across the blue LifeHistory lanes, at a safe greater-than-pi-explosion distance from each other. But I suppose it's vaguely possible that a few of those 4x4 patterns might create two or more gliders traveling near each other in the same direction, which might cause trouble with blocks that weren't placed with them specifically in mind.

[hotcrystal0]

One clarification: Why aren't you using something like this to clean the gliders?

Code: Select all

x = 27, y = 43, rule = TripleB3S23
24.G$22.3G$21.G$21.2G3$26.G$24.3G$23.G$22.G.G$23.G3$21.2G$21.2G4$20.2G
$18.G2.G2$18.G2.G$19.G2.G$3B17.G.G$2.F18.G$.B2D$.D.D16.2G$12.2G6.2G$3.
A8.2G$2.B2C7.G.G2.2G$2.A.C3.G4.2G2.2G$3.B3.G.G$8.G$13.G$13.2G$12.2G.G
$11.G2.3G$10.G.G.G$9.G.G.G$7.3G2.G$8.G.2G$9.2G$10.G!

[dvgrn]

One clarification: Why aren't you using something like this to clean the gliders?

It seems unnecessarily complicated (for the definition of "black hole" from the first post) and it doesn't work reliably:

Code: Select all

x = 25, y = 43, rule = TripleB3S23
22.G$20.3G$19.G$19.2G3$24.G$22.3G$21.G$20.G.G$21.G3$19.2G$19.2G4$18.
2G$16.G2.G2$16.G2.G$17.G2.G$18.G.G$19.G2$18.2G$10.2G6.2G$.2A7.2G$A.A
7.G.G2.2G$2.A3.G4.2G2.2G$5.G.G$6.G$11.G$11.2G$10.2G.G$9.G2.3G$8.G.G.G
$7.G.G.G$5.3G2.G$6.G.2G$7.2G$8.G!

So if two different 4x4 patterns put a glider on the same lane but with different timings -- and obviously there are a whole bunch of 4x4 patterns that are in fact different phases of a glider on the same lane, so we're bound to get exactly that -- then it's dangerous to put periodic stuff on that lane. You can eliminate the problematic periods with a careful sequence of sparkers in different phases, but why not just use something stable?

-- The other answer is that this really seems more like a thought experiment to me, not so much like the kind of project that anyone would really want to complete. 4x4 is fairly easy to make an "information trap" for, but 5x5 ... not so much.

And above that it's just kind of a proof-by-induction situation: it's theoretically possible at any size, but not really very interesting to work on in practice.

[bibunsekibun]

If there are black holes, are there also white holes?
In other words, the internal pattern cannot be interfered with from the outside, and all the internal patterns are emitted to the outside.
This is a prototype I made.

Code: Select all

x = 502, y = 529, rule = LifeHistory
499.E.E$499.2E$500.E26$7.4B3.A.9B.B3.4B$7.4B.3BA3BA9B.4B$6.2A2B2A8BA
12B2A$6.2A2BA5B2A2BA12B2A$7.B.BABA5B2A12B.B$9.2B2A3B3A13B4.B$26.3B.B.
2A.3B6.AB$9.2B2A3B3A13B2A5B3.2B2A$7.B.BABA5B2A16B4A.2ABABA$6.2A2BA5B
2A2BA14BA2B4A4BA$6.2A2B2A8BA21BAB2A2B$7.4B.3BA3BA15BAB2ABA3BA4B$7.4B
3.A.9B.3B.B.B.B.4BA9B$35.6B.9B$36.5B.5B.4B$35.6B.6B.4B$35.2BA3B.3BA2B
2.4B$35.6B.6B3.4B$35.3A3B.3B3A4.4B$35.B2AB2A.2AB2AB5.3BA$35.2B3AB.B3A
2B6.3BA$35.3BA2B.2BA3B7.3AB$35.6B.6B8.4B$35.6B.6B9.4B$36.5B.5B11.4B$
35.6B.6B11.4B$36.5B.5B13.4B$36.5B.5B14.4B$37.4B.4B16.4B$35.6B.6B15.4B
$35.6B.6B16.4B$35.4B5.4B17.3BA$35.2B2AB3.B2A2B18.ABAB$37.2A5.2A21.2A
2B$68.4B$69.4B$70.4B$71.4B$72.4B$73.4B$74.4B$75.4B$76.3BA$77.3BA$78.
3AB$79.4B$80.4B$81.4B$82.4B$83.4B$84.4B$85.4B$86.4B$87.4B$88.3BA$89.A
BAB$11.4B3.B.9B.B3.4B52.2A2B$11.4B.4B2A11B.4B53.4B$10.2A7BABA15B2A53.
4B$10.2A6B2ABA15B2A54.4B$11.B.6B2A15B.B56.4B$13.7BA15B4.B54.4B$30.3B.
B.2B.3B6.2B46.4B$13.7BA10B2A3B2A5B3.4B47.4B$11.B.6B2A9BAB2AB2ABA5B.6B
47.4B$10.2A6B2ABA8BA7BA12B48.3BA$10.2A7BABA8BAB2AB2ABA3BA5BA3B48.3BA$
11.4B.4B2A9B2A3B2A3B3A3B3A3B48.3AB$11.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B
48.4B$39.B2AB2A.2AB2A4B48.4B$40.3B2A.2A3B.4B48.4B$39.2BABAB.BABA2B.4B
48.4B$39.BA2BAB.BA2BAB2.4B48.4B$39.4BAB.BA4B3.2BAB48.4B$39.BABA2B.2BA
BAB4.2B2A48.4B$39.2BA3B.3BA2B5.2A2B48.4B$39.6B.6B6.4B48.4B$39.6B.6B7.
4B48.3BA$39.6B.6B8.4B48.ABAB$39.6B.6B9.4B48.2A2B$40.5B.5B11.4B48.4B$
39.6B.6B11.4B48.4B$40.5B.5B13.4B48.4B$40.5B.5B14.4B48.4B$41.4B.4B16.
4B48.4B$39.6B.6B15.BABA48.4B$39.6B.6B16.B2AB48.4B$39.4B5.4B17.A3B48.
4B$39.2B2AB3.B2A2B18.4B48.3BA$41.2A5.2A21.4B48.3BA$72.4B48.3AB$73.4B
48.4B$74.4B48.4B$36.4B3.B.9B.B3.4B12.4B48.4B$36.4B.4B2A11B.4B13.4B48.
4B$35.2A7BABA15B2A13.4B48.4B$35.2A6B2ABA15B2A14.2BAB48.4B$36.B.6B2A
15B.B16.2B2A48.4B$38.7BA15B4.B14.2A2B48.4B$55.3B.B.2B.3B6.2B6.4B48.4B
$38.7BA10B2A3B2A5B3.4B7.4B48.3BA$36.B.6B2A9BAB2AB2ABA5B.6B7.4B48.ABAB
$35.2A6B2ABA8BA7BA12B8.4B48.2A2B$35.2A7BABA8BAB2AB2ABA3BA5BA3B8.4B48.
4B$36.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B48.4B$36.4B3.B.9B.3B.B.B.B.2A2BABA
2B2A3B8.4B48.4B$64.B2AB2A.2AB2A4B8.4B48.4B$65.3B2A.2A3B.4B8.4B48.4B$
64.2BABAB.BABA2B.4B8.BABA48.4B$64.BA2BAB.BA2BAB2.4B8.B2AB48.4B$64.4BA
B.BA4B3.2BAB8.A3B48.4B$64.BABA2B.2BABAB4.2B2A8.4B48.3BA$64.2BA3B.3BA
2B5.2A2B8.4B48.3BA$64.6B.6B6.4B8.4B48.3AB$64.6B.6B7.4B8.4B48.4B$64.6B
.6B8.4B8.4B48.4B$64.6B.6B9.4B8.4B48.4B$65.5B.5B11.4B8.4B48.4B$64.6B.
6B11.4B8.4B48.4B$65.5B.5B13.4B8.2BAB48.4B$65.5B.5B14.4B8.2B2A48.4B$
66.4B.4B16.4B8.2A2B48.4B$64.6B.6B15.BABA8.4B48.4B$64.6B.6B16.B2AB8.4B
48.3BA$64.4B5.4B17.A3B8.4B48.ABAB$64.2B2AB3.B2A2B18.4B8.4B48.2A2B$66.
2A5.2A21.4B8.4B48.4B$97.4B8.4B48.4B$98.4B8.4B48.4B$99.4B8.4B48.4B$61.
4B3.B.9B.B3.4B12.4B8.4B48.4B$61.4B.4B2A11B.4B13.4B8.BABA48.4B$60.2A7B
ABA15B2A13.4B8.B2AB48.4B$60.2A6B2ABA15B2A14.2BAB8.A3B48.4B$61.B.6B2A
15B.B16.2B2A8.4B48.3BA$63.7BA15B4.B14.2A2B8.4B48.3BA$80.3B.B.2B.3B6.
2B6.4B8.4B48.3AB$63.7BA10B2A3B2A5B3.4B7.4B8.4B48.4B$61.B.6B2A9BAB2AB
2ABA5B.6B7.4B8.4B48.4B$60.2A6B2ABA8BA7BA12B8.4B8.4B48.4B$60.2A7BABA8B
AB2AB2ABA3BA5BA3B8.4B8.4B48.4B$61.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B
48.4B$61.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB48.4B$89.B2AB2A.2AB
2A4B8.4B8.2B2A48.4B$90.3B2A.2A3B.4B8.4B8.2A2B48.4B$89.2BABAB.BABA2B.
4B8.BABA8.4B48.4B$89.BA2BAB.BA2BAB2.4B8.B2AB8.4B48.3BA$89.4BAB.BA4B3.
2BAB8.A3B8.4B48.ABAB$89.BABA2B.2BABAB4.2B2A8.4B8.4B48.2A2B$89.2BA3B.
3BA2B5.2A2B8.4B8.4B48.4B$89.6B.6B6.4B8.4B8.4B48.4B$89.6B.6B7.4B8.4B8.
4B48.4B$89.6B.6B8.4B8.4B8.4B48.4B$89.6B.6B9.4B8.4B8.4B48.4B$90.5B.5B
11.4B8.4B8.BABA48.4B$89.6B.6B11.4B8.4B8.B2AB48.4B$90.5B.5B13.4B8.2BAB
8.A3B48.4B$90.5B.5B14.4B8.2B2A8.4B48.3BA$91.4B.4B16.4B8.2A2B8.4B48.3B
A$89.6B.6B15.BABA8.4B8.4B48.3AB$89.6B.6B16.B2AB8.4B8.4B48.4B$89.4B5.
4B17.A3B8.4B8.4B48.4B$89.2B2AB3.B2A2B18.4B8.4B8.4B48.4B$91.2A5.2A21.
4B8.4B8.4B48.4B$122.4B8.4B8.4B48.4B$123.4B8.4B8.2BAB48.4B$124.4B8.4B
8.2B2A48.4B$86.4B3.B.9B.B3.4B12.4B8.4B8.2A2B48.4B$86.4B.4B2A11B.4B13.
4B8.BABA8.4B48.4B$85.2A7BABA15B2A13.4B8.B2AB8.4B48.3BA$85.2A6B2ABA15B
2A14.2BAB8.A3B8.4B48.ABAB$86.B.6B2A15B.B16.2B2A8.4B8.4B48.2A2B$88.7BA
15B4.B14.2A2B8.4B8.4B48.4B$105.3B.B.2B.3B6.2B6.4B8.4B8.4B48.4B$88.7BA
10B2A3B2A5B3.4B7.4B8.4B8.4B48.4B3.3B$86.B.6B2A9BAB2AB2ABA5B.6B7.4B8.
4B8.4B48.4B3.2B$85.2A6B2ABA8BA7BA12B8.4B8.4B8.4B48.4B3.B$85.2A7BABA8B
AB2AB2ABA3BA5BA3B8.4B8.4B8.BABA48.4B$86.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B
8.4B8.B2AB48.4B$86.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB8.A3B48.
4B$114.B2AB2A.2AB2A4B8.4B8.2B2A8.4B48.3BA$115.3B2A.2A3B.4B8.4B8.2A2B
8.4B48.3BA$114.2BABAB.BABA2B.4B8.BABA8.4B8.4B48.3AB$114.BA2BAB.BA2BAB
2.4B8.B2AB8.4B8.4B48.4B$114.4BAB.BA4B3.2BAB8.A3B8.4B8.4B48.4B$114.BAB
A2B.2BABAB4.2B2A8.4B8.4B8.4B48.4B$114.2BA3B.3BA2B5.2A2B8.4B8.4B8.4B
48.4B$114.6B.6B6.4B8.4B8.4B8.4B48.4B$114.6B.6B7.4B8.4B8.4B8.2BAB48.4B
$114.6B.6B8.4B8.4B8.4B8.2B2A48.4B$114.6B.6B9.4B8.4B8.4B8.2A2B48.4B$
115.5B.5B11.4B8.4B8.BABA8.4B48.4B$114.6B.6B11.4B8.4B8.B2AB8.4B48.3BA$
115.5B.5B13.4B8.2BAB8.A3B8.4B48.ABAB$115.5B.5B14.4B8.2B2A8.4B8.4B48.
2A2B$116.4B.4B16.4B8.2A2B8.4B8.4B48.4B$114.6B.6B15.BABA8.4B8.4B8.4B
48.4B$114.6B.6B16.B2AB8.4B8.4B8.4B48.4B$114.4B5.4B17.A3B8.4B8.4B8.4B
48.4B$114.2B2AB3.B2A2B18.4B8.4B8.4B8.4B48.4B$116.2A5.2A21.4B8.4B8.4B
8.BABA48.4B$147.4B8.4B8.4B8.B2AB48.4B$148.4B8.4B8.2BAB8.A3B48.4B$149.
4B8.4B8.2B2A8.4B48.3BA$111.4B3.B.9B.B3.4B12.4B8.4B8.2A2B8.4B48.3BA$
111.4B.4B2A11B.4B13.4B8.BABA8.4B8.4B48.3AB$110.2A7BABA15B2A13.4B8.B2A
B8.4B8.4B48.4B$110.2A6B2ABA15B2A14.2BAB8.A3B8.4B8.4B48.4B$111.B.6B2A
15B.B16.2B2A8.4B8.4B8.4B48.4B$113.7BA15B4.B14.2A2B8.4B8.4B8.4B48.4B$
130.3B.B.2B.3B6.2B6.4B8.4B8.4B8.4B48.4B$113.7BA10B2A3B2A5B3.4B7.4B8.
4B8.4B8.2BAB48.4B$111.B.6B2A9BAB2AB2ABA5B.6B7.4B8.4B8.4B8.2B2A48.4B$
110.2A6B2ABA8BA7BA12B8.4B8.4B8.4B8.2A2B4.D43.4B$110.2A7BABA8BAB2AB2AB
A3BA5BA3B8.4B8.4B8.BABA8.4B2.D.D43.4B$111.4B.4B2A9B2A3B2A3B3A3B3A3B8.
4B8.4B8.B2AB8.4BD3.D43.3BA$111.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.
2BAB8.A3B8.2BDB4.D43.ABAB$139.B2AB2A.2AB2A4B8.4B8.2B2A8.4B8.D3B4.D43.
2A2B$140.3B2A.2A3B.4B8.4B8.2A2B8.4B6.D.4B4.D43.4B$139.2BABAB.BABA2B.
4B8.BABA8.4B8.4B4.D3.4B4.D43.4B$139.BA2BAB.BA2BAB2.4B8.B2AB8.4B8.4B2.
D5.4B4.D43.4B$139.4BAB.BA4B3.2BAB8.A3B8.4B8.4BD7.4B4.D43.4B$139.BABA
2B.2BABAB4.2B2A8.4B8.4B8.2BDB8.4B4.D43.4B$139.2BA3B.3BA2B5.2A2B8.4B8.
4B8.D3B8.BABA4.D43.4B$139.6B.6B6.4B8.4B8.4B6.D.4B8.B2AB4.D43.4B$139.
6B.6B7.4B8.4B8.4B4.D3.2BAB8.A3B4.D43.4B$139.6B.6B8.4B8.4B8.4B2.D5.2B
2A8.4B4.D43.3BA$139.6B.6B9.4B8.4B8.4BD7.2A2B8.4B4.D43.3BA$140.5B.5B
11.4B8.4B8.BADA8.4B8.4B4.D43.3AB$139.6B.6B11.4B8.4B8.D2AB8.4B8.4B4.D
43.4B$140.5B.5B13.4B8.2BAB6.D.A3B8.4B8.4B4.D43.4B$140.5B.5B14.4B8.2B
2A4.D3.4B8.4B8.4B4.D43.4B$141.4B.4B16.4B8.2A2B2.D5.4B8.4B8.4B4.D43.4B
$139.6B.6B15.BABA8.4BD7.4B8.4B8.4B4.D43.4B$139.6B.6B16.B2AB8.2BDB8.4B
8.B2EB8.2BAB4.D43.4B$139.4B5.4B17.A3B8.D3B8.4B8.2E2B8.2B2A4.D43.4B$
139.2B2AB3.B2A2B18.4B6.D.4B8.4B8.4B8.2A2B4.D43.4B$141.2A5.2A21.4B4.D
3.4B8.4B8.BABA8.4B2.D45.4B$172.4B2.D5.4B8.4B8.B2AB8.4BD47.3BA$173.4BD
7.4B8.2BAB8.A3B8.2BDB48.ABAB$174.2BDB8.4B8.2B2A8.4B8.D3B48.2A2B$175.D
3B8.4B8.2A2B8.4B6.D.4B48.4B$174.D.4B8.BABA8.4B8.4B4.D3.4B48.4B$173.D
3.4B8.B2AB8.4B8.4B2.D5.4B48.4B$172.D5.2BAB8.A3B8.4B8.4BD7.4B48.4B$
173.D5.2B2A8.4B8.4B8.2BDB8.4B48.4B$174.D5.2A2B8.4B8.4B8.D3B8.BABA48.
4B$175.D5.4B8.4B8.4B6.D.4B8.B2AB48.4B$.4E171.D5.4B8.4B8.4B4.D3.2BAB8.
A3B48.4B$E3.E172.D5.4B8.4B8.4B2.D5.2B2A8.4B48.3BA.B$4.E173.D5.4B8.4B
8.4BD7.2A2B8.4B48.3BA2B$E2.E175.D5.4B8.4B8.BADA8.4B8.4B48.2AB3AB$180.
D5.4B8.4B8.D2AB8.4B8.4B50.2B2A$181.D5.4B8.4B6.D.A3B8.4B8.4B48.2BAB$
182.D5.2B10.2B6.D3.2B10.2B10.2B48.4B$183.D3.3B9.3B5.D3.3B9.3B9.3B47.
4B$184.D2.2B10.2B5.D4.2B10.2B10.2B47.4B$185.D4B8.4B3.D4.A3B8.4B8.4B
45.4B$185.BD2B8.4B3.D4.B2AB8.4B8.4B45.4B$184.3BD8.4B3.D4.BABA8.4B8.4B
45.4B$183.4B.D6.4B3.D4.4B8.2A2B8.4B45.4B$182.4B3.D4.4B3.D4.4B8.2B2A8.
4B45.4B$181.4B5.D2.4B3.D4.4B8.2BAB8.A3B45.A3B$180.4B7.D4B3.D4.4B8.4B
8.B2AB45.B2AB$179.2A2B8.BD2B3.D4.4B8.4B8.BABA45.BABA$178.2B2A8.3BD3.D
4.4B8.4B8.4B45.4B$177.2BAB8.A3B.D.D4.4B8.4B8.4B45.4B$176.4B8.B2AB3.D
4.4B8.4B8.4B45.4B$175.4B8.BABA8.4B8.4B8.4B45.4B$174.4B8.4B8.2A2B8.4B
8.4B45.4B$173.4B8.4B8.2B2A8.4B8.4B45.4B$172.4B8.4B8.2BAB8.A3B8.4B45.
4B$171.4B8.4B8.4B8.B2AB8.4B45.4B$140.2A5.2A21.4B8.4B8.4B8.BABA8.4B45.
4B$138.2B2AB3.B2A2B18.4B8.4B8.4B8.4B8.2A2B45.2A2B$138.4B5.4B17.A3B8.
4B8.4B8.4B8.2B2A45.2B2A$138.6B.6B16.B2AB8.4B8.4B8.4B8.2BAB45.2BAB$
138.6B.6B15.BABA8.4B8.4B8.4B8.4B45.4B$140.4B.4B16.4B8.2A2B8.4B8.4B8.
4B45.4B$139.5B.5B14.4B8.2B2A8.4B8.4B8.4B45.4B$139.5B.5B13.4B8.2BAB8.A
3B8.4B8.4B45.4B$138.6B.6B11.4B8.4B8.B2AB8.4B8.4B45.4B$139.5B.5B11.4B
8.4B8.BABA8.4B8.4B45.4B$138.6B.6B9.4B8.4B8.4B8.2A2B8.4B45.4B$138.6B.
6B8.4B8.4B8.4B8.2B2A8.4B45.4B$138.6B.6B7.4B8.4B8.4B8.2BAB8.A3B45.A3B$
138.6B.6B6.4B8.4B8.4B8.4B8.B2AB45.B2AB$138.2BA3B.3BA2B5.2A2B8.4B8.4B
8.4B8.BABA45.BABA$138.BABA2B.2BABAB4.2B2A8.4B8.4B8.4B8.4B45.4B$138.4B
AB.BA4B3.2BAB8.A3B8.4B8.4B8.4B45.4B$138.BA2BAB.BA2BAB2.4B8.B2AB8.4B8.
4B8.4B45.4B$138.2BABAB.BABA2B.4B8.BABA8.4B8.4B8.4B45.4B$139.3B2A.2A3B
.4B8.4B8.2A2B8.4B8.4B45.4B$138.B2AB2A.2AB2A4B8.4B8.2B2A8.4B8.4B45.4B$
110.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB8.A3B8.4B45.4B$110.4B.4B
2A9B2A3B2A3B3A3B3A3B8.4B8.4B8.B2AB8.4B45.4B$109.2A7BABA8BAB2AB2ABA3BA
5BA3B8.4B8.4B8.BABA8.4B45.4B$109.2A6B2ABA8BA7BA12B8.4B8.4B8.4B8.2A2B
45.2A2B$110.B.6B2A9BAB2AB2ABA5B.6B7.4B8.4B8.4B8.2B2A45.2B2A$112.7BA
10B2A3B2A5B3.4B7.4B8.4B8.4B8.2BAB45.2BAB$129.3B.B.2B.3B6.2B6.4B8.4B8.
4B8.4B45.4B$112.7BA15B4.B14.2A2B8.4B8.4B8.4B45.4B$110.B.6B2A15B.B16.
2B2A8.4B8.4B8.4B45.4B$109.2A6B2ABA15B2A14.2BAB8.A3B8.4B8.4B45.4B$109.
2A7BABA15B2A13.4B8.B2AB8.4B8.4B45.4B$110.4B.4B2A11B.4B13.4B8.BABA8.4B
8.4B45.4B$110.4B3.B.9B.B3.4B12.4B8.4B8.2A2B8.4B45.4B$148.4B8.4B8.2B2A
8.4B45.4B$147.4B8.4B8.2BAB8.A3B45.A3B$146.4B8.4B8.4B8.B2AB45.B2AB$
115.2A5.2A21.4B8.4B8.4B8.BABA45.BABA$113.2B2AB3.B2A2B18.4B8.4B8.4B8.
4B45.4B$113.4B5.4B17.A3B8.4B8.4B8.4B45.4B$113.6B.6B16.B2AB8.4B8.4B8.
4B45.4B$113.6B.6B15.BABA8.4B8.4B8.4B45.4B$115.4B.4B16.4B8.2A2B8.4B8.
4B45.4B$114.5B.5B14.4B8.2B2A8.4B8.4B45.4B$114.5B.5B13.4B8.2BAB8.A3B8.
4B45.4B$113.6B.6B11.4B8.4B8.B2AB8.4B45.4B$114.5B.5B11.4B8.4B8.BABA8.
4B45.4B$113.6B.6B9.4B8.4B8.4B8.2A2B45.2A2B$113.6B.6B8.4B8.4B8.4B8.2B
2A45.2B2A$113.6B.6B7.4B8.4B8.4B8.2BAB45.2BAB$113.6B.6B6.4B8.4B8.4B8.
4B45.4B$113.2BA3B.3BA2B5.2A2B8.4B8.4B8.4B45.4B$113.BABA2B.2BABAB4.2B
2A8.4B8.4B8.4B45.4B$113.4BAB.BA4B3.2BAB8.A3B8.4B8.4B45.4B$113.BA2BAB.
BA2BAB2.4B8.B2AB8.4B8.4B45.4B$113.2BABAB.BABA2B.4B8.BABA8.4B8.4B45.4B
$114.3B2A.2A3B.4B8.4B8.2A2B8.4B45.4B$113.B2AB2A.2AB2A4B8.4B8.2B2A8.4B
45.4B$85.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB8.A3B45.A3B$85.4B.
4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B8.B2AB45.B2AB$84.2A7BABA8BAB2AB2ABA3BA
5BA3B8.4B8.4B8.BABA45.BABA$84.2A6B2ABA8BA7BA12B8.4B8.4B8.4B45.4B$85.B
.6B2A9BAB2AB2ABA5B.6B7.4B8.4B8.4B45.4B$87.7BA10B2A3B2A5B3.4B7.4B8.4B
8.4B45.4B$104.3B.B.2B.3B6.2B6.4B8.4B8.4B45.4B$87.7BA15B4.B14.2A2B8.4B
8.4B45.4B$85.B.6B2A15B.B16.2B2A8.4B8.4B45.4B$84.2A6B2ABA15B2A14.2BAB
8.A3B8.4B45.4B$84.2A7BABA15B2A13.4B8.B2AB8.4B45.4B$85.4B.4B2A11B.4B
13.4B8.BABA8.4B45.4B$85.4B3.B.9B.B3.4B12.4B8.4B8.2A2B45.2A2B$123.4B8.
4B8.2B2A45.2B2A$122.4B8.4B8.2BAB45.2BAB$121.4B8.4B8.4B45.4B$90.2A5.2A
21.4B8.4B8.4B45.4B$88.2B2AB3.B2A2B18.4B8.4B8.4B45.4B$88.4B5.4B17.A3B
8.4B8.4B45.4B$88.6B.6B16.B2AB8.4B8.4B45.4B$88.6B.6B15.BABA8.4B8.4B45.
4B$90.4B.4B16.4B8.2A2B8.4B45.4B$89.5B.5B14.4B8.2B2A8.4B45.4B$89.5B.5B
13.4B8.2BAB8.A3B45.A3B$88.6B.6B11.4B8.4B8.B2AB45.B2AB$89.5B.5B11.4B8.
4B8.BABA45.BABA$88.6B.6B9.4B8.4B8.4B45.4B$88.6B.6B8.4B8.4B8.4B45.4B$
88.6B.6B7.4B8.4B8.4B45.4B$88.6B.6B6.4B8.4B8.4B45.4B$88.2BA3B.3BA2B5.
2A2B8.4B8.4B45.4B$88.BABA2B.2BABAB4.2B2A8.4B8.4B45.4B$88.4BAB.BA4B3.
2BAB8.A3B8.4B45.4B$88.BA2BAB.BA2BAB2.4B8.B2AB8.4B45.4B$88.2BABAB.BABA
2B.4B8.BABA8.4B45.4B$89.3B2A.2A3B.4B8.4B8.2A2B45.2A2B$88.B2AB2A.2AB2A
4B8.4B8.2B2A45.2B2A$60.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB45.2B
AB$60.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B45.4B$59.2A7BABA8BAB2AB2ABA3BA
5BA3B8.4B8.4B45.4B$59.2A6B2ABA8BA7BA12B8.4B8.4B45.4B$60.B.6B2A9BAB2AB
2ABA5B.6B7.4B8.4B45.4B$62.7BA10B2A3B2A5B3.4B7.4B8.4B45.4B$79.3B.B.2B.
3B6.2B6.4B8.4B45.4B$62.7BA15B4.B14.2A2B8.4B45.4B$60.B.6B2A15B.B16.2B
2A8.4B45.4B$59.2A6B2ABA15B2A14.2BAB8.A3B45.A3B$59.2A7BABA15B2A13.4B8.
B2AB45.B2AB$60.4B.4B2A11B.4B13.4B8.BABA45.BABA$60.4B3.B.9B.B3.4B12.4B
8.4B45.4B$98.4B8.4B45.4B$97.4B8.4B45.4B$96.4B8.4B45.4B$65.2A5.2A21.4B
8.4B45.4B$63.2B2AB3.B2A2B18.4B8.4B45.4B$63.4B5.4B17.A3B8.4B45.4B$63.
6B.6B16.B2AB8.4B45.4B$63.6B.6B15.BABA8.4B45.4B$65.4B.4B16.4B8.2A2B45.
2A2B$64.5B.5B14.4B8.2B2A45.2B2A$64.5B.5B13.4B8.2BAB45.2BAB$63.6B.6B
11.4B8.4B45.4B$64.5B.5B11.4B8.4B45.4B$63.6B.6B9.4B8.4B45.4B$63.6B.6B
8.4B8.4B45.4B$63.6B.6B7.4B8.4B45.4B$63.6B.6B6.4B8.4B45.4B$63.2BA3B.3B
A2B5.2A2B8.4B45.4B$63.BABA2B.2BABAB4.2B2A8.4B45.4B$63.4BAB.BA4B3.2BAB
8.A3B45.A3B$63.BA2BAB.BA2BAB2.4B8.B2AB45.B2AB$63.2BABAB.BABA2B.4B8.BA
BA45.BABA$64.3B2A.2A3B.4B8.4B45.4B$63.B2AB2A.2AB2A4B8.4B45.4B$35.4B3.
B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B45.4B$35.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B
45.4B$34.2A7BABA8BAB2AB2ABA3BA5BA3B8.4B45.4B$34.2A6B2ABA8BA7BA12B8.4B
45.4B$35.B.6B2A9BAB2AB2ABA5B.6B7.4B45.4B$37.7BA10B2A3B2A5B3.4B7.4B45.
4B$54.3B.B.2B.3B6.2B6.4B45.4B$37.7BA15B4.B14.2A2B45.2A2B$35.B.6B2A15B
.B16.2B2A45.2B2A$34.2A6B2ABA15B2A14.2BAB45.2BAB$34.2A7BABA15B2A13.4B
45.4B$35.4B.4B2A11B.4B13.4B45.4B$35.4B3.B.9B.B3.4B12.4B45.4B$73.4B45.
4B$72.4B45.4B$71.4B45.4B$40.2A5.2A21.4B45.4B$38.2B2AB3.B2A2B18.4B45.
4B$38.4B5.4B17.A3B45.A3B$38.6B.6B16.B2AB45.B2AB$38.6B.6B15.BABA45.BAB
A$40.4B.4B16.4B45.4B$39.5B.5B14.4B45.4B$39.5B.5B13.4B45.4B$38.6B.6B
11.4B45.4B$39.5B.5B11.4B45.4B$38.6B.6B9.4B45.4B$38.6B.6B8.4B45.4B$38.
6B.6B7.4B45.4B$38.6B.6B6.4B45.4B$38.2BA3B.3BA2B5.2A2B45.2A2B$38.BABA
2B.2BABAB4.2B2A45.2B2A$38.4BAB.BA4B3.2BAB45.2BAB$38.BA2BAB.BA2BAB2.4B
45.4B$38.2BABAB.BABA2B.4B45.4B$39.3B2A.2A3B.4B45.4B$38.B2AB2A.2AB2A4B
45.4B$10.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B45.4B$10.4B.4B2A9B2A3B2A3B3A
3B3A3B45.4B$9.2A7BABA8BAB2AB2ABA3BA5BA3B45.4B$9.2A6B2ABA8BA7BA12B45.
4B$10.B.6B2A9BAB2AB2ABA5B.6B44.A3B$12.7BA10B2A3B2A5B3.4B44.B2AB$29.3B
.B.2B.3B6.2B43.BABA$12.7BA15B4.B51.4B$10.B.6B2A15B.B53.4B$9.2A6B2ABA
15B2A51.4B$9.2A7BABA15B2A50.4B$10.4B.4B2A11B.4B50.4B$10.4B3.B.9B.B3.
4B49.4B$85.4B$84.4B$83.4B$82.2A2B$81.2B2A$80.2BAB$79.4B$78.4B$77.4B$
76.4B$75.4B$74.4B$43.2A5.2A21.4B$41.2B2AB3.B2A2B18.4B$41.4B5.4B17.A3B
$41.6B.6B16.B2AB$41.6B.6B15.BABA$43.4B.4B16.4B$42.5B.5B14.4B$42.5B.5B
13.4B$41.6B.6B11.4B$42.5B.5B11.4B$41.6B.6B9.4B$41.6B.6B8.4B$41.6B.6B
7.4B$41.6B.6B6.4B$41.2BA3B.3BA2B5.2A2B$41.BABA2B.2BABAB4.2B2A$41.4BAB
.BA4B3.2BAB$41.BA2BAB.BA2BAB2.4B$41.2BABAB.BABA2B.4B$42.3B2A.2A3B.4B$
41.B2AB2A.2AB2A4B$13.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B$13.4B.4B2A9B2A3B
2A3B3A3B3A3B$12.2A7BABA8BAB2AB2ABA3BA5BA3B$12.2A6B2ABA8BA7BA12B$13.B.
6B2A9BAB2AB2ABA5B.6B$15.7BA10B2A3B2A5B3.4B$32.3B.B.2B.3B6.2B$15.7BA
15B4.B$13.B.6B2A15B.B$12.2A6B2ABA15B2A$12.2A7BABA15B2A$13.4B.4B2A11B.
4B$13.4B3.B.9B.B3.4B!

The central red part is the singularity of White Hole. Objects that enter the interior are converted into a glider and bounced off. It also repels intrusion from the outside.
The problem is that the glider may not be able to decompose the internal patterns, in which case the structure will be destroyed. This can also occur when repelling spaceships attempting to enter from the outside.

[hotcrystal0]

One clarification: Why aren't you using something like this to clean the gliders?

It seems unnecessarily complicated (for the definition of "black hole" from the first post) and it doesn't work reliably:

Code: Select all

x = 25, y = 43, rule = TripleB3S23
22.G$20.3G$19.G$19.2G3$24.G$22.3G$21.G$20.G.G$21.G3$19.2G$19.2G4$18.
2G$16.G2.G2$16.G2.G$17.G2.G$18.G.G$19.G2$18.2G$10.2G6.2G$.2A7.2G$A.A
7.G.G2.2G$2.A3.G4.2G2.2G$5.G.G$6.G$11.G$11.2G$10.2G.G$9.G2.3G$8.G.G.G
$7.G.G.G$5.3G2.G$6.G.2G$7.2G$8.G!

So if two different 4x4 patterns put a glider on the same lane but with different timings -- and obviously there are a whole bunch of 4x4 patterns that are in fact different phases of a glider on the same lane, so we're bound to get exactly that -- then it's dangerous to put periodic stuff on that lane. You can eliminate the problematic periods with a careful sequence of sparkers in different phases, but why not just use something stable?

-- The other answer is that this really seems more like a thought experiment to me, not so much like the kind of project that anyone would really want to complete. 4x4 is fairly easy to make an "information trap" for, but 5x5 ... not so much.

And above that it's just kind of a proof-by-induction situation: it's theoretically possible at any size, but not really very interesting to work on in practice.

but... what if we want to construct a repeatable black hole that can delete the ash from its interior? That's when the periodic thing can be used.

[dvgrn]

but... what if we want to construct a repeatable black hole that can delete the ash from its interior? That's when the periodic thing can be used.

At 4x4, that's theoretically completable, but it would be extraordinarily painful to build and test, and ultimately it doesn't seem (to me) to solve a problem that makes a whole lot of sense.

One of the really deep assumptions that 99.99% of CA research is based on, is that you lay out a pattern at T=0 and see how it runs. If cells can magically change after T=0, it's not really a CA any more -- might as well just play a video.

The exceptions that prove the rule are various attempts to invent a controller system for the Quest for Tetris project, and the BananaCode experiments that showed that you could get universal construction if you had complete control over just three cells in a banana-spark pattern.

Even if someone does want to build a repeatable black hole for 4x4, it still seems possible that it will be easier to use only stable stuff, no sparkers. It's hard to come up with a set of sparkers all on one side of a glider lane, that can destroy any glider coming along that lane no matter what its timing is. Unless you artificially constrain the times that the 4x4 patterns can re-spawn in the middle, for safety's sake you'll have to design your glider catchers to deal with all possible glider phases.

Also, sparkers destroy information by simply removing the gliders. It might be useful for the ash-cleanup part of the project to know exactly which lanes the output gliders.

-- Probably not, though. There are probably enough different 4x4 patterns that don't produce any output gliders, and therefore can't be differentiated by the information they emit, that the only reasonable way to handle the cleanup will be with something like Andrew Wade's ash-cleaning mechanism. Which means the cleanup will take an inordinately long time, and probably it will need a few months of extra testing to make sure that none of the 4x4 starting patterns cause any unlucky ash-clearing resets as they're being cleaned up, that emit unexpected gliders that might escape from the black hole.

For a bit of perspective, here's the 4x4 pattern that creates the highest-population ash cloud. The cleanup project would have to be able to handle all eight orientations of this mess, along with thousands of other smaller random ash clouds.

Code: Select all

x = 4, y = 4, rule = Life
3bo$4o$2obo$3o!

[hotcrystal0]

but... what if we want to construct a repeatable black hole that can delete the ash from its interior? That's when the periodic thing can be used.

At 4x4, that's theoretically completable, but it would be extraordinarily painful to build and test, and ultimately it doesn't seem (to me) to solve a problem that makes a whole lot of sense.

One of the really deep assumptions that 99.99% of CA research is based on, is that you lay out a pattern at T=0 and see how it runs. If cells can magically change after T=0, it's not really a CA any more -- might as well just play a video.

The exceptions that prove the rule are various attempts to invent a controller system for the Quest for Tetris project, and the BananaCode experiments that showed that you could get universal construction if you had complete control over just three cells in a banana-spark pattern.

Even if someone does want to build a repeatable black hole for 4x4, it still seems possible that it will be easier to use only stable stuff, no sparkers. It's hard to come up with a set of sparkers all on one side of a glider lane, that can destroy any glider coming along that lane no matter what its timing is. Unless you artificially constrain the times that the 4x4 patterns can re-spawn in the middle, for safety's sake you'll have to design your glider catchers to deal with all possible glider phases.

Also, sparkers destroy information by simply removing the gliders. It might be useful for the ash-cleanup part of the project to know exactly which lanes the output gliders.

-- Probably not, though. There are probably enough different 4x4 patterns that don't produce any output gliders, and therefore can't be differentiated by the information they emit, that the only reasonable way to handle the cleanup will be with something like Andrew Wade's ash-cleaning mechanism. Which means the cleanup will take an inordinately long time, and probably it will need a few months of extra testing to make sure that none of the 4x4 starting patterns cause any unlucky ash-clearing resets as they're being cleaned up, that emit unexpected gliders that might escape from the black hole.

For a bit of perspective, here's the 4x4 pattern that creates the highest-population ash cloud. The cleanup project would have to be able to handle all eight orientations of this mess, along with thousands of other smaller random ash clouds.

Code: Select all

x = 4, y = 4, rule = Life
3bo$4o$2obo$3o!

So... that basically means a 4×4 black hole has to be at least 320 by 320.

[hotcrystal0]

If there are black holes, are there also white holes?
In other words, the internal pattern cannot be interfered with from the outside, and all the internal patterns are emitted to the outside.

The problem is that the glider may not be able to decompose the internal patterns, in which case the structure will be destroyed. This can also occur when repelling spaceships attempting to enter from the outside.

Here's a thing to know: Since you said it nothing can interfere from the OUTSIDE, you probably won't have to care about random blocks that need to be deleted. You only need to care about spaceships.

By the way, there's another flaw. Sometimes one too many gliders will be emitted, which might cause some problems for the pattern. Here's an example:

Code: Select all

x = 286, y = 501, rule = B3/S23Super
.4B3.A.9B.B3.4B$.4B.3BA3BA9B.4B$2A2B2A8BA12B2A$2A2BA5B2A2BA12B2A$.B.B
ABA5B2A12B.B$3.2B2A3B3A13B4.B$20.3B.B.2A.3B6.AB$3.2B2A3B3A13B2A5B3.2B
2A$.B.BABA5B2A16B4A.2ABABA$2A2BA5B2A2BA14BA2B4A4BA$2A2B2A8BA21BAB2A2B
$.4B.3BA3BA15BAB2ABA3BA4B$.4B3.A.9B.3B.B.B.B.4BA9B$29.6B.9B$30.5B.5B.
4B$29.6B.6B.4B$29.2BA3B.3BA2B2.4B$29.6B.6B3.4B$29.3A3B.3B3A4.4B$29.B2A
B2A.2AB2AB5.3BA$29.2B3AB.B3A2B6.3BA$29.3BA2B.2BA3B7.3AB$29.6B.6B8.4B$
29.6B.6B9.4B$30.5B.5B11.4B$29.6B.6B11.4B$30.5B.5B13.4B$30.5B.5B14.4B$
31.4B.4B16.4B$29.6B.6B15.4B$29.6B.6B16.4B$29.4B5.4B17.3BA$29.2B2AB3.B
2A2B18.ABAB$31.2A5.2A21.2A2B$62.4B$63.4B$64.4B$65.4B$66.4B$67.4B$68.4B
$69.4B$70.3BA$71.3BA$72.3AB$73.4B$74.4B$75.4B$76.4B$77.4B$78.4B$79.4B
$80.4B$81.4B$82.3BA$83.ABAB$5.4B3.B.9B.B3.4B52.2A2B$5.4B.4B2A11B.4B53.
4B$4.2A7BABA15B2A53.4B$4.2A6B2ABA15B2A54.4B$5.B.6B2A15B.B56.4B$7.7BA15B
4.B54.4B$24.3B.B.2B.3B6.2B46.4B$7.7BA10B2A3B2A5B3.4B47.4B$5.B.6B2A9BA
B2AB2ABA5B.6B47.4B$4.2A6B2ABA8BA7BA12B48.3BA$4.2A7BABA8BAB2AB2ABA3BA5B
A3B48.3BA$5.4B.4B2A9B2A3B2A3B3A3B3A3B48.3AB$5.4B3.B.9B.3B.B.B.B.2A2BA
BA2B2A3B48.4B$33.B2AB2A.2AB2A4B48.4B$34.3B2A.2A3B.4B48.4B$33.2BABAB.B
ABA2B.4B48.4B$33.BA2BAB.BA2BAB2.4B48.4B$33.4BAB.BA4B3.2BAB48.4B$33.BA
BA2B.2BABAB4.2B2A48.4B$33.2BA3B.3BA2B5.2A2B48.4B$33.6B.6B6.4B48.4B$33.
6B.6B7.4B48.3BA$33.6B.6B8.4B48.ABAB$33.6B.6B9.4B48.2A2B$34.5B.5B11.4B
48.4B$33.6B.6B11.4B48.4B$34.5B.5B13.4B48.4B$34.5B.5B14.4B48.4B$35.4B.
4B16.4B48.4B$33.6B.6B15.BABA48.4B$33.6B.6B16.B2AB48.4B$33.4B5.4B17.A3B
48.4B$33.2B2AB3.B2A2B18.4B48.3BA$35.2A5.2A21.4B48.3BA$66.4B48.3AB$67.
4B48.4B$68.4B48.4B$30.4B3.B.9B.B3.4B12.4B48.4B$30.4B.4B2A11B.4B13.4B48.
4B$29.2A7BABA15B2A13.4B48.4B$29.2A6B2ABA15B2A14.2BAB48.4B$30.B.6B2A15B
.B16.2B2A48.4B$32.7BA15B4.B14.2A2B48.4B$49.3B.B.2B.3B6.2B6.4B48.4B$32.
7BA10B2A3B2A5B3.4B7.4B48.3BA$30.B.6B2A9BAB2AB2ABA5B.6B7.4B48.ABAB$29.
2A6B2ABA8BA7BA12B8.4B48.2A2B$29.2A7BABA8BAB2AB2ABA3BA5BA3B8.4B48.4B$30.
4B.4B2A9B2A3B2A3B3A3B3A3B8.4B48.4B$30.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B
8.4B48.4B$58.B2AB2A.2AB2A4B8.4B48.4B$59.3B2A.2A3B.4B8.4B48.4B$58.2BAB
AB.BABA2B.4B8.BABA48.4B$58.BA2BAB.BA2BAB2.4B8.B2AB48.4B$58.4BAB.BA4B3.
2BAB8.A3B48.4B$58.BABA2B.2BABAB4.2B2A8.4B48.3BA$58.2BA3B.3BA2B5.2A2B8.
4B48.3BA72.A.A$58.6B.6B6.4B8.4B48.3AB74.A$58.6B.6B7.4B8.4B48.4B73.A$58.
6B.6B8.4B8.4B48.4B69.A2.A$58.6B.6B9.4B8.4B48.4B69.3A$59.5B.5B11.4B8.4B
48.4B$58.6B.6B11.4B8.4B48.4B$59.5B.5B13.4B8.2BAB48.4B$59.5B.5B14.4B8.
2B2A48.4B$60.4B.4B16.4B8.2A2B48.4B$58.6B.6B15.BABA8.4B48.4B$58.6B.6B16.
B2AB8.4B48.3BA$58.4B5.4B17.A3B8.4B48.ABAB$58.2B2AB3.B2A2B18.4B8.4B48.
2A2B$60.2A5.2A21.4B8.4B48.4B$91.4B8.4B48.4B$92.4B8.4B48.4B$93.4B8.4B48.
4B$55.4B3.B.9B.B3.4B12.4B8.4B48.4B$55.4B.4B2A11B.4B13.4B8.BABA48.4B$54.
2A7BABA15B2A13.4B8.B2AB48.4B$54.2A6B2ABA15B2A14.2BAB8.A3B48.4B$55.B.6B
2A15B.B16.2B2A8.4B48.3BA$57.7BA15B4.B14.2A2B8.4B48.3BA$74.3B.B.2B.3B6.
2B6.4B8.4B48.3AB$57.7BA10B2A3B2A5B3.4B7.4B8.4B48.4B$55.B.6B2A9BAB2AB2A
BA5B.6B7.4B8.4B48.4B$54.2A6B2ABA8BA7BA12B8.4B8.4B48.4B$54.2A7BABA8BAB
2AB2ABA3BA5BA3B8.4B8.4B48.4B$55.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B48.4B
$55.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB48.4B$83.B2AB2A.2AB2A4B8.
4B8.2B2A48.4B$84.3B2A.2A3B.4B8.4B8.2A2B48.4B$83.2BABAB.BABA2B.4B8.BAB
A8.4B48.4B$83.BA2BAB.BA2BAB2.4B8.B2AB8.4B48.3BA$83.4BAB.BA4B3.2BAB8.A
3B8.4B48.ABAB$83.BABA2B.2BABAB4.2B2A8.4B8.4B48.2A2B$83.2BA3B.3BA2B5.2A
2B8.4B8.4B48.4B$83.6B.6B6.4B8.4B8.4B48.4B$83.6B.6B7.4B8.4B8.4B48.4B$83.
6B.6B8.4B8.4B8.4B48.4B$83.6B.6B9.4B8.4B8.4B48.4B$84.5B.5B11.4B8.4B8.B
ABA48.4B$83.6B.6B11.4B8.4B8.B2AB48.4B$84.5B.5B13.4B8.2BAB8.A3B48.4B$84.
5B.5B14.4B8.2B2A8.4B48.3BA$85.4B.4B16.4B8.2A2B8.4B48.3BA$83.6B.6B15.B
ABA8.4B8.4B48.3AB$83.6B.6B16.B2AB8.4B8.4B48.4B$83.4B5.4B17.A3B8.4B8.4B
48.4B$83.2B2AB3.B2A2B18.4B8.4B8.4B48.4B$85.2A5.2A21.4B8.4B8.4B48.4B$116.
4B8.4B8.4B48.4B$117.4B8.4B8.2BAB48.4B$118.4B8.4B8.2B2A48.4B$80.4B3.B.
9B.B3.4B12.4B8.4B8.2A2B48.4B$80.4B.4B2A11B.4B13.4B8.BABA8.4B48.4B$79.
2A7BABA15B2A13.4B8.B2AB8.4B48.3BA$79.2A6B2ABA15B2A14.2BAB8.A3B8.4B48.
ABAB$80.B.6B2A15B.B16.2B2A8.4B8.4B48.2A2B$82.7BA15B4.B14.2A2B8.4B8.4B
48.4B$99.3B.B.2B.3B6.2B6.4B8.4B8.4B48.4B$82.7BA10B2A3B2A5B3.4B7.4B8.4B
8.4B48.4B$80.B.6B2A9BAB2AB2ABA5B.6B7.4B8.4B8.4B48.4B$79.2A6B2ABA8BA7B
A12B8.4B8.4B8.4B48.4B$79.2A7BABA8BAB2AB2ABA3BA5BA3B8.4B8.4B8.BABA48.4B
$80.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B8.B2AB48.4B$80.4B3.B.9B.3B.B.B.B
.2A2BABA2B2A3B8.4B8.2BAB8.A3B48.4B$108.B2AB2A.2AB2A4B8.4B8.2B2A8.4B48.
3BA$109.3B2A.2A3B.4B8.4B8.2A2B8.4B48.3BA$108.2BABAB.BABA2B.4B8.BABA8.
4B8.4B48.3AB$108.BA2BAB.BA2BAB2.4B8.B2AB8.4B8.4B48.4B$108.4BAB.BA4B3.
2BAB8.A3B8.4B8.4B48.4B$108.BABA2B.2BABAB4.2B2A8.4B8.4B8.4B48.4B$108.2B
A3B.3BA2B5.2A2B8.4B8.4B8.4B48.4B$108.6B.6B6.4B8.4B8.4B8.4B48.4B$108.6B
.6B7.4B8.4B8.4B8.2BAB48.4B$108.6B.6B8.4B8.4B8.4B8.2B2A48.4B$108.6B.6B
9.4B8.4B8.4B8.2A2B48.4B$109.5B.5B11.4B8.4B8.BABA8.4B48.4B$108.6B.6B11.
4B8.4B8.B2AB8.4B48.3BA$109.5B.5B13.4B8.2BAB8.A3B8.4B48.ABAB$109.5B.5B
14.4B8.2B2A8.4B8.4B48.2A2B$110.4B.4B16.4B8.2A2B8.4B8.4B48.4B$108.6B.6B
15.BABA8.4B8.4B8.4B48.4B$108.6B.6B16.B2AB8.4B8.4B8.4B48.4B$108.4B5.4B
17.A3B8.4B8.4B8.4B48.4B$108.2B2AB3.B2A2B18.4B8.4B8.4B8.4B48.4B$110.2A
5.2A21.4B8.4B8.4B8.BABA48.4B$141.4B8.4B8.4B8.B2AB48.4B$142.4B8.4B8.2B
AB8.A3B48.4B$143.4B8.4B8.2B2A8.4B48.3BA$105.4B3.B.9B.B3.4B12.4B8.4B8.
2A2B8.4B48.3BA$105.4B.4B2A11B.4B13.4B8.BABA8.4B8.4B48.3AB$104.2A7BABA
15B2A13.4B8.B2AB8.4B8.4B48.4B$104.2A6B2ABA15B2A14.2BAB8.A3B8.4B8.4B48.
4B$105.B.6B2A15B.B16.2B2A8.4B8.4B8.4B48.4B$107.7BA15B4.B14.2A2B8.4B8.
4B8.4B48.4B$124.3B.B.2B.3B6.2B6.4B8.4B8.4B8.4B48.4B$107.7BA10B2A3B2A5B
3.4B7.4B8.4B8.4B8.2BAB48.4B$105.B.6B2A9BAB2AB2ABA5B.6B7.4B8.4B8.4B8.2B
2A48.4B$104.2A6B2ABA8BA7BA12B8.4B8.4B8.4B8.2A2B4.D43.4B$104.2A7BABA8B
AB2AB2ABA3BA5BA3B8.4B8.4B8.BABA8.4B2.D.D43.4B$105.4B.4B2A9B2A3B2A3B3A
3B3A3B8.4B8.4B8.B2AB8.4BD3.D43.3BA$105.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B
8.4B8.2BAB8.A3B8.2BDB4.D43.ABAB$133.B2AB2A.2AB2A4B8.4B8.2B2A8.4B8.D3B
4.D43.2A2B$134.3B2A.2A3B.4B8.4B8.2A2B8.4B6.D.4B4.D43.4B$133.2BABAB.BA
BA2B.4B8.BABA8.4B8.4B4.D3.4B4.D43.4B$133.BA2BAB.BA2BAB2.4B8.B2AB8.4B8.
4B2.D5.4B4.D43.4B$133.4BAB.BA4B3.2BAB8.A3B8.4B8.4BD7.4B4.D43.4B$133.B
ABA2B.2BABAB4.2B2A8.4B8.4B8.2BDB8.4B4.D43.4B$133.2BA3B.3BA2B5.2A2B8.4B
8.4B8.D3B8.BABA4.D43.4B$133.6B.6B6.4B8.4B8.4B6.D.4B8.B2AB4.D43.4B$133.
6B.6B7.4B8.4B8.4B4.D3.2BAB8.A3B4.D43.4B$133.6B.6B8.4B8.4B8.4B2.D5.2B2A
8.4B4.D43.3BA$133.6B.6B9.4B8.4B8.4BD7.2A2B8.4B4.D43.3BA$134.5B.5B11.4B
8.4B8.BADA8.4B8.4B4.D43.3AB$133.6B.6B11.4B8.4B8.D2AB8.4B8.4B4.D43.4B$
134.5B.5B13.4B8.2BAB6.D.A3B8.4B8.4B4.D43.4B$134.5B.5B14.4B8.2B2A4.D3.
4B8.4B8.4B4.D43.4B$135.4B.4B16.4B8.2A2B2.D5.4B8.4B8.4B4.D43.4B$133.6B
.6B15.BABA8.4BD7.4B8.4B8.4B4.D43.4B$133.6B.6B16.B2AB8.2BDB8.4B8.4B8.2B
AB4.D43.4B$133.4B5.4B17.A3B8.D3B8.4B8.4B8.2B2A4.D43.4B$133.2B2AB3.B2A
2B18.4B6.D.4B8.4B8.4B8.2A2B4.D43.4B$135.2A5.2A21.4B4.D3.4B8.4B8.BABA8.
4B2.D45.4B$166.4B2.D5.4B8.4B8.B2AB8.4BD47.3BA$167.4BD7.4B8.2BAB8.A3B8.
2BDB48.ABAB$168.2BDB8.4B8.2B2A8.4B8.D3B48.2A2B$169.D3B8.4B8.2A2B8.4B6.
D.4B48.4B$168.D.4B8.BABA8.4B8.4B4.D3.4B48.4B$167.D3.4B8.B2AB8.4B8.4B2.
D5.4B48.4B$166.D5.2BAB8.A3B8.4B8.4BD7.4B48.4B$167.D5.2B2A8.4B8.4B8.2B
DB8.4B48.4B$168.D5.2A2B8.4B8.4B8.D3B8.BABA48.4B$169.D5.4B8.4B8.4B6.D.
4B8.B2AB48.4B$170.D5.4B8.4B8.4B4.D3.2BAB8.A3B48.4B$171.D5.4B8.4B8.4B2.
D5.2B2A8.4B48.3BA.B$172.D5.4B8.4B8.4BD7.2A2B8.4B48.3BA2B$173.D5.4B8.4B
8.BADA8.4B8.4B10.2M36.2AB3AB$174.D5.4B8.4B8.D2AB8.4B8.4B9.2M39.2B2A$175.
D5.4B8.4B6.D.A3B8.4B8.4B48.2BAB$176.D5.2B10.2B6.D3.2B10.2B10.2B48.4B$
177.D3.3B9.3B5.D3.3B9.3B9.3B8.2M37.4B$178.D2.2B10.2B5.D4.2B10.2B10.2B
9.2M.M34.4B$179.D4B8.4B3.D4.A3B8.4B8.4B11.M33.4B$179.BD2B8.4B3.D4.B2A
B8.4B8.4B12.M32.4B$178.3BD8.4B3.D4.BABA8.4B8.4B10.M2.M31.4B$177.4B.D6.
4B3.D4.4B8.2A2B8.4B12.2M31.4B$176.4B3.D4.4B3.D4.4B8.2B2A8.4B45.4B$175.
4B5.D2.4B3.D4.4B8.2BAB8.A3B45.A3B$174.4B7.D4B3.D4.4B8.4B8.B2AB45.B2AB
$173.2A2B8.BD2B3.D4.4B8.4B8.BABA45.BABA$172.2B2A8.3BD3.D4.4B8.4B8.4B45.
4B$171.2BAB8.A3B.D.D4.4B8.4B8.4B45.4B$170.4B8.B2AB3.D4.4B8.4B8.4B45.4B
$169.4B8.BABA8.4B8.4B8.4B45.4B$168.4B8.4B8.2A2B8.4B8.4B45.4B$167.4B8.
4B8.2B2A8.4B8.4B45.4B$166.4B8.4B8.2BAB8.A3B8.4B45.4B$165.4B8.4B8.4B8.
B2AB8.4B45.4B$134.2A5.2A21.4B8.4B8.4B8.BABA8.4B45.4B$132.2B2AB3.B2A2B
18.4B8.4B8.4B8.4B8.2A2B45.2A2B$132.4B5.4B17.A3B8.4B8.4B8.4B8.2B2A45.2B
2A$132.6B.6B16.B2AB8.4B8.4B8.4B8.2BAB45.2BAB$132.6B.6B15.BABA8.4B8.4B
8.4B8.4B45.4B$134.4B.4B16.4B8.2A2B8.4B8.4B8.4B45.4B$133.5B.5B14.4B8.2B
2A8.4B8.4B8.4B45.4B$133.5B.5B13.4B8.2BAB8.A3B8.4B8.4B45.4B$132.6B.6B11.
4B8.4B8.B2AB8.4B8.4B45.4B$133.5B.5B11.4B8.4B8.BABA8.4B8.4B45.4B$132.6B
.6B9.4B8.4B8.4B8.2A2B8.4B45.4B$132.6B.6B8.4B8.4B8.4B8.2B2A8.4B45.4B$132.
6B.6B7.4B8.4B8.4B8.2BAB8.A3B45.A3B$132.6B.6B6.4B8.4B8.4B8.4B8.B2AB45.
B2AB$132.2BA3B.3BA2B5.2A2B8.4B8.4B8.4B8.BABA45.BABA$132.BABA2B.2BABAB
4.2B2A8.4B8.4B8.4B8.4B45.4B$132.4BAB.BA4B3.2BAB8.A3B8.4B8.4B8.4B45.4B
$132.BA2BAB.BA2BAB2.4B8.B2AB8.4B8.4B8.4B45.4B$132.2BABAB.BABA2B.4B8.B
ABA8.4B8.4B8.4B45.4B$133.3B2A.2A3B.4B8.4B8.2A2B8.4B8.4B45.4B$132.B2AB
2A.2AB2A4B8.4B8.2B2A8.4B8.4B45.4B$104.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B
8.4B8.2BAB8.A3B8.4B45.4B$104.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B8.B2AB8.
4B45.4B$103.2A7BABA8BAB2AB2ABA3BA5BA3B8.4B8.4B8.BABA8.4B45.4B$103.2A6B
2ABA8BA7BA12B8.4B8.4B8.4B8.2A2B45.2A2B$104.B.6B2A9BAB2AB2ABA5B.6B7.4B
8.4B8.4B8.2B2A45.2B2A$106.7BA10B2A3B2A5B3.4B7.4B8.4B8.4B8.2BAB45.2BAB
$123.3B.B.2B.3B6.2B6.4B8.4B8.4B8.4B45.4B$106.7BA15B4.B14.2A2B8.4B8.4B
8.4B45.4B$104.B.6B2A15B.B16.2B2A8.4B8.4B8.4B45.4B$103.2A6B2ABA15B2A14.
2BAB8.A3B8.4B8.4B45.4B$103.2A7BABA15B2A13.4B8.B2AB8.4B8.4B45.4B$104.4B
.4B2A11B.4B13.4B8.BABA8.4B8.4B45.4B$104.4B3.B.9B.B3.4B12.4B8.4B8.2A2B
8.4B45.4B$142.4B8.4B8.2B2A8.4B45.4B$141.4B8.4B8.2BAB8.A3B45.A3B$140.4B
8.4B8.4B8.B2AB45.B2AB$109.2A5.2A21.4B8.4B8.4B8.BABA45.BABA$107.2B2AB3.
B2A2B18.4B8.4B8.4B8.4B45.4B$107.4B5.4B17.A3B8.4B8.4B8.4B45.4B$107.6B.
6B16.B2AB8.4B8.4B8.4B45.4B$107.6B.6B15.BABA8.4B8.4B8.4B45.4B$109.4B.4B
16.4B8.2A2B8.4B8.4B45.4B$108.5B.5B14.4B8.2B2A8.4B8.4B45.4B$108.5B.5B13.
4B8.2BAB8.A3B8.4B45.4B$107.6B.6B11.4B8.4B8.B2AB8.4B45.4B$108.5B.5B11.
4B8.4B8.BABA8.4B45.4B$107.6B.6B9.4B8.4B8.4B8.2A2B45.2A2B$107.6B.6B8.4B
8.4B8.4B8.2B2A45.2B2A$107.6B.6B7.4B8.4B8.4B8.2BAB45.2BAB$107.6B.6B6.4B
8.4B8.4B8.4B45.4B$107.2BA3B.3BA2B5.2A2B8.4B8.4B8.4B45.4B$107.BABA2B.2B
ABAB4.2B2A8.4B8.4B8.4B45.4B$107.4BAB.BA4B3.2BAB8.A3B8.4B8.4B45.4B$107.
BA2BAB.BA2BAB2.4B8.B2AB8.4B8.4B45.4B$107.2BABAB.BABA2B.4B8.BABA8.4B8.
4B45.4B$108.3B2A.2A3B.4B8.4B8.2A2B8.4B45.4B$107.B2AB2A.2AB2A4B8.4B8.2B
2A8.4B45.4B$79.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB8.A3B45.A3B$79.
4B.4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B8.B2AB45.B2AB$78.2A7BABA8BAB2AB2ABA3B
A5BA3B8.4B8.4B8.BABA45.BABA$78.2A6B2ABA8BA7BA12B8.4B8.4B8.4B45.4B$79.
B.6B2A9BAB2AB2ABA5B.6B7.4B8.4B8.4B45.4B$81.7BA10B2A3B2A5B3.4B7.4B8.4B
8.4B45.4B$98.3B.B.2B.3B6.2B6.4B8.4B8.4B45.4B$81.7BA15B4.B14.2A2B8.4B8.
4B45.4B$79.B.6B2A15B.B16.2B2A8.4B8.4B45.4B$78.2A6B2ABA15B2A14.2BAB8.A
3B8.4B45.4B$78.2A7BABA15B2A13.4B8.B2AB8.4B45.4B$79.4B.4B2A11B.4B13.4B
8.BABA8.4B45.4B$79.4B3.B.9B.B3.4B12.4B8.4B8.2A2B45.2A2B$117.4B8.4B8.2B
2A45.2B2A$116.4B8.4B8.2BAB45.2BAB$115.4B8.4B8.4B45.4B$84.2A5.2A21.4B8.
4B8.4B45.4B$82.2B2AB3.B2A2B18.4B8.4B8.4B45.4B$82.4B5.4B17.A3B8.4B8.4B
45.4B$82.6B.6B16.B2AB8.4B8.4B45.4B$82.6B.6B15.BABA8.4B8.4B45.4B$84.4B
.4B16.4B8.2A2B8.4B45.4B$83.5B.5B14.4B8.2B2A8.4B45.4B$83.5B.5B13.4B8.2B
AB8.A3B45.A3B$82.6B.6B11.4B8.4B8.B2AB45.B2AB$83.5B.5B11.4B8.4B8.BABA45.
BABA$82.6B.6B9.4B8.4B8.4B45.4B$82.6B.6B8.4B8.4B8.4B45.4B$82.6B.6B7.4B
8.4B8.4B45.4B$82.6B.6B6.4B8.4B8.4B45.4B$82.2BA3B.3BA2B5.2A2B8.4B8.4B45.
4B$82.BABA2B.2BABAB4.2B2A8.4B8.4B45.4B$82.4BAB.BA4B3.2BAB8.A3B8.4B45.
4B$82.BA2BAB.BA2BAB2.4B8.B2AB8.4B45.4B$82.2BABAB.BABA2B.4B8.BABA8.4B45.
4B$83.3B2A.2A3B.4B8.4B8.2A2B45.2A2B$82.B2AB2A.2AB2A4B8.4B8.2B2A45.2B2A
$54.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB45.2BAB$54.4B.4B2A9B2A3B
2A3B3A3B3A3B8.4B8.4B45.4B$53.2A7BABA8BAB2AB2ABA3BA5BA3B8.4B8.4B45.4B$
53.2A6B2ABA8BA7BA12B8.4B8.4B45.4B$54.B.6B2A9BAB2AB2ABA5B.6B7.4B8.4B45.
4B$56.7BA10B2A3B2A5B3.4B7.4B8.4B45.4B$73.3B.B.2B.3B6.2B6.4B8.4B45.4B$
56.7BA15B4.B14.2A2B8.4B45.4B$54.B.6B2A15B.B16.2B2A8.4B45.4B$53.2A6B2A
BA15B2A14.2BAB8.A3B45.A3B$53.2A7BABA15B2A13.4B8.B2AB45.B2AB$54.4B.4B2A
11B.4B13.4B8.BABA45.BABA$54.4B3.B.9B.B3.4B12.4B8.4B45.4B$92.4B8.4B45.
4B$91.4B8.4B45.4B$90.4B8.4B45.4B$59.2A5.2A21.4B8.4B45.4B$57.2B2AB3.B2A
2B18.4B8.4B45.4B$57.4B5.4B17.A3B8.4B45.4B$57.6B.6B16.B2AB8.4B45.4B$57.
6B.6B15.BABA8.4B45.4B$59.4B.4B16.4B8.2A2B45.2A2B$58.5B.5B14.4B8.2B2A45.
2B2A$58.5B.5B13.4B8.2BAB45.2BAB$57.6B.6B11.4B8.4B45.4B$58.5B.5B11.4B8.
4B45.4B$57.6B.6B9.4B8.4B45.4B$57.6B.6B8.4B8.4B45.4B$57.6B.6B7.4B8.4B45.
4B$57.6B.6B6.4B8.4B45.4B$57.2BA3B.3BA2B5.2A2B8.4B45.4B$57.BABA2B.2BAB
AB4.2B2A8.4B45.4B$57.4BAB.BA4B3.2BAB8.A3B45.A3B$57.BA2BAB.BA2BAB2.4B8.
B2AB45.B2AB$57.2BABAB.BABA2B.4B8.BABA45.BABA$58.3B2A.2A3B.4B8.4B45.4B
$57.B2AB2A.2AB2A4B8.4B45.4B$29.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B45.
4B$29.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B45.4B$28.2A7BABA8BAB2AB2ABA3BA5BA3B
8.4B45.4B$28.2A6B2ABA8BA7BA12B8.4B45.4B$29.B.6B2A9BAB2AB2ABA5B.6B7.4B
45.4B$31.7BA10B2A3B2A5B3.4B7.4B45.4B$48.3B.B.2B.3B6.2B6.4B45.4B$31.7B
A15B4.B14.2A2B45.2A2B$29.B.6B2A15B.B16.2B2A45.2B2A$28.2A6B2ABA15B2A14.
2BAB45.2BAB$28.2A7BABA15B2A13.4B45.4B$29.4B.4B2A11B.4B13.4B45.4B$29.4B
3.B.9B.B3.4B12.4B45.4B$67.4B45.4B$66.4B45.4B$65.4B45.4B$34.2A5.2A21.4B
45.4B$32.2B2AB3.B2A2B18.4B45.4B$32.4B5.4B17.A3B45.A3B$32.6B.6B16.B2AB
45.B2AB$32.6B.6B15.BABA45.BABA$34.4B.4B16.4B45.4B$33.5B.5B14.4B45.4B$
33.5B.5B13.4B45.4B$32.6B.6B11.4B45.4B$33.5B.5B11.4B45.4B$32.6B.6B9.4B
45.4B$32.6B.6B8.4B45.4B$32.6B.6B7.4B45.4B$32.6B.6B6.4B45.4B$32.2BA3B.
3BA2B5.2A2B45.2A2B$32.BABA2B.2BABAB4.2B2A45.2B2A$32.4BAB.BA4B3.2BAB45.
2BAB$32.BA2BAB.BA2BAB2.4B45.4B$32.2BABAB.BABA2B.4B45.4B$33.3B2A.2A3B.
4B45.4B$32.B2AB2A.2AB2A4B45.4B$4.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B45.4B
$4.4B.4B2A9B2A3B2A3B3A3B3A3B45.4B$3.2A7BABA8BAB2AB2ABA3BA5BA3B45.4B$3.
2A6B2ABA8BA7BA12B45.4B$4.B.6B2A9BAB2AB2ABA5B.6B44.A3B$6.7BA10B2A3B2A5B
3.4B44.B2AB$23.3B.B.2B.3B6.2B43.BABA$6.7BA15B4.B51.4B$4.B.6B2A15B.B53.
4B$3.2A6B2ABA15B2A51.4B$3.2A7BABA15B2A50.4B$4.4B.4B2A11B.4B50.4B$4.4B
3.B.9B.B3.4B49.4B$79.4B$78.4B$77.4B$76.2A2B$75.2B2A$74.2BAB$73.4B$72.
4B$71.4B$70.4B$69.4B$68.4B$37.2A5.2A21.4B$35.2B2AB3.B2A2B18.4B$35.4B5.
4B17.A3B$35.6B.6B16.B2AB$35.6B.6B15.BABA$37.4B.4B16.4B$36.5B.5B14.4B$
36.5B.5B13.4B$35.6B.6B11.4B$36.5B.5B11.4B$35.6B.6B9.4B$35.6B.6B8.4B$35.
6B.6B7.4B$35.6B.6B6.4B$35.2BA3B.3BA2B5.2A2B$35.BABA2B.2BABAB4.2B2A$35.
4BAB.BA4B3.2BAB$35.BA2BAB.BA2BAB2.4B$35.2BABAB.BABA2B.4B$36.3B2A.2A3B
.4B$35.B2AB2A.2AB2A4B$7.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B$7.4B.4B2A9B2A
3B2A3B3A3B3A3B$6.2A7BABA8BAB2AB2ABA3BA5BA3B$6.2A6B2ABA8BA7BA12B$7.B.6B
2A9BAB2AB2ABA5B.6B$9.7BA10B2A3B2A5B3.4B$26.3B.B.2B.3B6.2B$9.7BA15B4.B
$7.B.6B2A15B.B$6.2A6B2ABA15B2A$6.2A7BABA15B2A$7.4B.4B2A11B.4B$7.4B3.B
.9B.B3.4B!

In the example, a LWSS is turned into a beehive, but due to timing reasons, one of the streams lets out two gliders instead of one. A blocker(shown in white) filters out the problematic glider. However, if it were to be removed, then the glider would collide with the pond, and it would destroy the pattern.

By the way, you only need to filter out every OTHER glider so you might want to use this P92 gun.

Code: Select all

x = 51, y = 25, rule = B3/S23Super
4.2A$5.A16.2A$5.A.AB10.2A2.A$6.3A.2A5.3A.2A$8.2ABAB3.A4.B$8.3AB5.3AB2A
B3.B.9B.B3.4B$8.B5A5.A.2AB.3B4A10B.4B$5.6B3A7.6B2A2BA14B2A$4.4B2A5B7.
4B2A2BA15B2A$4.4B2A2B2A2B6.5BA2BA14B.B$4.6B4A3B3.B2A5B2A15B$A4.3BA4BA
7B2A4B12.2BA.B.A2B$3A3.2B3AB2A14B2A10BABABABAB$3.A.5BA2BA3BA9BA2BA7B2A
2BABA2B2AB$2.A.A7B2A2B2A8B2A2BA7B2A7B2A2B$2.2A8BA4BA9B2A2BA6B2A2BABA2B
2AB$5.2B.8B.B2.8B4A8BABABABAB$2.2A4.7B5.8B.9B.2BA.B.A2B$2.A6.5B7.B2.4B
$3.A6.4B11.3B$2.2A4.5B13.2B$8.2A$9.A$6.3A$6.A!

Basically, for every period n white hole with your design, all the guns except the final two should be period 2n.

[Ohhhhhhhhh]

If there are black holes, are there also white holes?
In other words, the internal pattern cannot be interfered with from the outside, and all the internal patterns are emitted to the outside.
This is a prototype I made.

Code: Select all

x = 502, y = 529, rule = LifeHistory
499.E.E$499.2E$500.E26$7.4B3.A.9B.B3.4B$7.4B.3BA3BA9B.4B$6.2A2B2A8BA
12B2A$6.2A2BA5B2A2BA12B2A$7.B.BABA5B2A12B.B$9.2B2A3B3A13B4.B$26.3B.B.
2A.3B6.AB$9.2B2A3B3A13B2A5B3.2B2A$7.B.BABA5B2A16B4A.2ABABA$6.2A2BA5B
2A2BA14BA2B4A4BA$6.2A2B2A8BA21BAB2A2B$7.4B.3BA3BA15BAB2ABA3BA4B$7.4B
3.A.9B.3B.B.B.B.4BA9B$35.6B.9B$36.5B.5B.4B$35.6B.6B.4B$35.2BA3B.3BA2B
2.4B$35.6B.6B3.4B$35.3A3B.3B3A4.4B$35.B2AB2A.2AB2AB5.3BA$35.2B3AB.B3A
2B6.3BA$35.3BA2B.2BA3B7.3AB$35.6B.6B8.4B$35.6B.6B9.4B$36.5B.5B11.4B$
35.6B.6B11.4B$36.5B.5B13.4B$36.5B.5B14.4B$37.4B.4B16.4B$35.6B.6B15.4B
$35.6B.6B16.4B$35.4B5.4B17.3BA$35.2B2AB3.B2A2B18.ABAB$37.2A5.2A21.2A
2B$68.4B$69.4B$70.4B$71.4B$72.4B$73.4B$74.4B$75.4B$76.3BA$77.3BA$78.
3AB$79.4B$80.4B$81.4B$82.4B$83.4B$84.4B$85.4B$86.4B$87.4B$88.3BA$89.A
BAB$11.4B3.B.9B.B3.4B52.2A2B$11.4B.4B2A11B.4B53.4B$10.2A7BABA15B2A53.
4B$10.2A6B2ABA15B2A54.4B$11.B.6B2A15B.B56.4B$13.7BA15B4.B54.4B$30.3B.
B.2B.3B6.2B46.4B$13.7BA10B2A3B2A5B3.4B47.4B$11.B.6B2A9BAB2AB2ABA5B.6B
47.4B$10.2A6B2ABA8BA7BA12B48.3BA$10.2A7BABA8BAB2AB2ABA3BA5BA3B48.3BA$
11.4B.4B2A9B2A3B2A3B3A3B3A3B48.3AB$11.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B
48.4B$39.B2AB2A.2AB2A4B48.4B$40.3B2A.2A3B.4B48.4B$39.2BABAB.BABA2B.4B
48.4B$39.BA2BAB.BA2BAB2.4B48.4B$39.4BAB.BA4B3.2BAB48.4B$39.BABA2B.2BA
BAB4.2B2A48.4B$39.2BA3B.3BA2B5.2A2B48.4B$39.6B.6B6.4B48.4B$39.6B.6B7.
4B48.3BA$39.6B.6B8.4B48.ABAB$39.6B.6B9.4B48.2A2B$40.5B.5B11.4B48.4B$
39.6B.6B11.4B48.4B$40.5B.5B13.4B48.4B$40.5B.5B14.4B48.4B$41.4B.4B16.
4B48.4B$39.6B.6B15.BABA48.4B$39.6B.6B16.B2AB48.4B$39.4B5.4B17.A3B48.
4B$39.2B2AB3.B2A2B18.4B48.3BA$41.2A5.2A21.4B48.3BA$72.4B48.3AB$73.4B
48.4B$74.4B48.4B$36.4B3.B.9B.B3.4B12.4B48.4B$36.4B.4B2A11B.4B13.4B48.
4B$35.2A7BABA15B2A13.4B48.4B$35.2A6B2ABA15B2A14.2BAB48.4B$36.B.6B2A
15B.B16.2B2A48.4B$38.7BA15B4.B14.2A2B48.4B$55.3B.B.2B.3B6.2B6.4B48.4B
$38.7BA10B2A3B2A5B3.4B7.4B48.3BA$36.B.6B2A9BAB2AB2ABA5B.6B7.4B48.ABAB
$35.2A6B2ABA8BA7BA12B8.4B48.2A2B$35.2A7BABA8BAB2AB2ABA3BA5BA3B8.4B48.
4B$36.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B48.4B$36.4B3.B.9B.3B.B.B.B.2A2BABA
2B2A3B8.4B48.4B$64.B2AB2A.2AB2A4B8.4B48.4B$65.3B2A.2A3B.4B8.4B48.4B$
64.2BABAB.BABA2B.4B8.BABA48.4B$64.BA2BAB.BA2BAB2.4B8.B2AB48.4B$64.4BA
B.BA4B3.2BAB8.A3B48.4B$64.BABA2B.2BABAB4.2B2A8.4B48.3BA$64.2BA3B.3BA
2B5.2A2B8.4B48.3BA$64.6B.6B6.4B8.4B48.3AB$64.6B.6B7.4B8.4B48.4B$64.6B
.6B8.4B8.4B48.4B$64.6B.6B9.4B8.4B48.4B$65.5B.5B11.4B8.4B48.4B$64.6B.
6B11.4B8.4B48.4B$65.5B.5B13.4B8.2BAB48.4B$65.5B.5B14.4B8.2B2A48.4B$
66.4B.4B16.4B8.2A2B48.4B$64.6B.6B15.BABA8.4B48.4B$64.6B.6B16.B2AB8.4B
48.3BA$64.4B5.4B17.A3B8.4B48.ABAB$64.2B2AB3.B2A2B18.4B8.4B48.2A2B$66.
2A5.2A21.4B8.4B48.4B$97.4B8.4B48.4B$98.4B8.4B48.4B$99.4B8.4B48.4B$61.
4B3.B.9B.B3.4B12.4B8.4B48.4B$61.4B.4B2A11B.4B13.4B8.BABA48.4B$60.2A7B
ABA15B2A13.4B8.B2AB48.4B$60.2A6B2ABA15B2A14.2BAB8.A3B48.4B$61.B.6B2A
15B.B16.2B2A8.4B48.3BA$63.7BA15B4.B14.2A2B8.4B48.3BA$80.3B.B.2B.3B6.
2B6.4B8.4B48.3AB$63.7BA10B2A3B2A5B3.4B7.4B8.4B48.4B$61.B.6B2A9BAB2AB
2ABA5B.6B7.4B8.4B48.4B$60.2A6B2ABA8BA7BA12B8.4B8.4B48.4B$60.2A7BABA8B
AB2AB2ABA3BA5BA3B8.4B8.4B48.4B$61.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B
48.4B$61.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB48.4B$89.B2AB2A.2AB
2A4B8.4B8.2B2A48.4B$90.3B2A.2A3B.4B8.4B8.2A2B48.4B$89.2BABAB.BABA2B.
4B8.BABA8.4B48.4B$89.BA2BAB.BA2BAB2.4B8.B2AB8.4B48.3BA$89.4BAB.BA4B3.
2BAB8.A3B8.4B48.ABAB$89.BABA2B.2BABAB4.2B2A8.4B8.4B48.2A2B$89.2BA3B.
3BA2B5.2A2B8.4B8.4B48.4B$89.6B.6B6.4B8.4B8.4B48.4B$89.6B.6B7.4B8.4B8.
4B48.4B$89.6B.6B8.4B8.4B8.4B48.4B$89.6B.6B9.4B8.4B8.4B48.4B$90.5B.5B
11.4B8.4B8.BABA48.4B$89.6B.6B11.4B8.4B8.B2AB48.4B$90.5B.5B13.4B8.2BAB
8.A3B48.4B$90.5B.5B14.4B8.2B2A8.4B48.3BA$91.4B.4B16.4B8.2A2B8.4B48.3B
A$89.6B.6B15.BABA8.4B8.4B48.3AB$89.6B.6B16.B2AB8.4B8.4B48.4B$89.4B5.
4B17.A3B8.4B8.4B48.4B$89.2B2AB3.B2A2B18.4B8.4B8.4B48.4B$91.2A5.2A21.
4B8.4B8.4B48.4B$122.4B8.4B8.4B48.4B$123.4B8.4B8.2BAB48.4B$124.4B8.4B
8.2B2A48.4B$86.4B3.B.9B.B3.4B12.4B8.4B8.2A2B48.4B$86.4B.4B2A11B.4B13.
4B8.BABA8.4B48.4B$85.2A7BABA15B2A13.4B8.B2AB8.4B48.3BA$85.2A6B2ABA15B
2A14.2BAB8.A3B8.4B48.ABAB$86.B.6B2A15B.B16.2B2A8.4B8.4B48.2A2B$88.7BA
15B4.B14.2A2B8.4B8.4B48.4B$105.3B.B.2B.3B6.2B6.4B8.4B8.4B48.4B$88.7BA
10B2A3B2A5B3.4B7.4B8.4B8.4B48.4B3.3B$86.B.6B2A9BAB2AB2ABA5B.6B7.4B8.
4B8.4B48.4B3.2B$85.2A6B2ABA8BA7BA12B8.4B8.4B8.4B48.4B3.B$85.2A7BABA8B
AB2AB2ABA3BA5BA3B8.4B8.4B8.BABA48.4B$86.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B
8.4B8.B2AB48.4B$86.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB8.A3B48.
4B$114.B2AB2A.2AB2A4B8.4B8.2B2A8.4B48.3BA$115.3B2A.2A3B.4B8.4B8.2A2B
8.4B48.3BA$114.2BABAB.BABA2B.4B8.BABA8.4B8.4B48.3AB$114.BA2BAB.BA2BAB
2.4B8.B2AB8.4B8.4B48.4B$114.4BAB.BA4B3.2BAB8.A3B8.4B8.4B48.4B$114.BAB
A2B.2BABAB4.2B2A8.4B8.4B8.4B48.4B$114.2BA3B.3BA2B5.2A2B8.4B8.4B8.4B
48.4B$114.6B.6B6.4B8.4B8.4B8.4B48.4B$114.6B.6B7.4B8.4B8.4B8.2BAB48.4B
$114.6B.6B8.4B8.4B8.4B8.2B2A48.4B$114.6B.6B9.4B8.4B8.4B8.2A2B48.4B$
115.5B.5B11.4B8.4B8.BABA8.4B48.4B$114.6B.6B11.4B8.4B8.B2AB8.4B48.3BA$
115.5B.5B13.4B8.2BAB8.A3B8.4B48.ABAB$115.5B.5B14.4B8.2B2A8.4B8.4B48.
2A2B$116.4B.4B16.4B8.2A2B8.4B8.4B48.4B$114.6B.6B15.BABA8.4B8.4B8.4B
48.4B$114.6B.6B16.B2AB8.4B8.4B8.4B48.4B$114.4B5.4B17.A3B8.4B8.4B8.4B
48.4B$114.2B2AB3.B2A2B18.4B8.4B8.4B8.4B48.4B$116.2A5.2A21.4B8.4B8.4B
8.BABA48.4B$147.4B8.4B8.4B8.B2AB48.4B$148.4B8.4B8.2BAB8.A3B48.4B$149.
4B8.4B8.2B2A8.4B48.3BA$111.4B3.B.9B.B3.4B12.4B8.4B8.2A2B8.4B48.3BA$
111.4B.4B2A11B.4B13.4B8.BABA8.4B8.4B48.3AB$110.2A7BABA15B2A13.4B8.B2A
B8.4B8.4B48.4B$110.2A6B2ABA15B2A14.2BAB8.A3B8.4B8.4B48.4B$111.B.6B2A
15B.B16.2B2A8.4B8.4B8.4B48.4B$113.7BA15B4.B14.2A2B8.4B8.4B8.4B48.4B$
130.3B.B.2B.3B6.2B6.4B8.4B8.4B8.4B48.4B$113.7BA10B2A3B2A5B3.4B7.4B8.
4B8.4B8.2BAB48.4B$111.B.6B2A9BAB2AB2ABA5B.6B7.4B8.4B8.4B8.2B2A48.4B$
110.2A6B2ABA8BA7BA12B8.4B8.4B8.4B8.2A2B4.D43.4B$110.2A7BABA8BAB2AB2AB
A3BA5BA3B8.4B8.4B8.BABA8.4B2.D.D43.4B$111.4B.4B2A9B2A3B2A3B3A3B3A3B8.
4B8.4B8.B2AB8.4BD3.D43.3BA$111.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.
2BAB8.A3B8.2BDB4.D43.ABAB$139.B2AB2A.2AB2A4B8.4B8.2B2A8.4B8.D3B4.D43.
2A2B$140.3B2A.2A3B.4B8.4B8.2A2B8.4B6.D.4B4.D43.4B$139.2BABAB.BABA2B.
4B8.BABA8.4B8.4B4.D3.4B4.D43.4B$139.BA2BAB.BA2BAB2.4B8.B2AB8.4B8.4B2.
D5.4B4.D43.4B$139.4BAB.BA4B3.2BAB8.A3B8.4B8.4BD7.4B4.D43.4B$139.BABA
2B.2BABAB4.2B2A8.4B8.4B8.2BDB8.4B4.D43.4B$139.2BA3B.3BA2B5.2A2B8.4B8.
4B8.D3B8.BABA4.D43.4B$139.6B.6B6.4B8.4B8.4B6.D.4B8.B2AB4.D43.4B$139.
6B.6B7.4B8.4B8.4B4.D3.2BAB8.A3B4.D43.4B$139.6B.6B8.4B8.4B8.4B2.D5.2B
2A8.4B4.D43.3BA$139.6B.6B9.4B8.4B8.4BD7.2A2B8.4B4.D43.3BA$140.5B.5B
11.4B8.4B8.BADA8.4B8.4B4.D43.3AB$139.6B.6B11.4B8.4B8.D2AB8.4B8.4B4.D
43.4B$140.5B.5B13.4B8.2BAB6.D.A3B8.4B8.4B4.D43.4B$140.5B.5B14.4B8.2B
2A4.D3.4B8.4B8.4B4.D43.4B$141.4B.4B16.4B8.2A2B2.D5.4B8.4B8.4B4.D43.4B
$139.6B.6B15.BABA8.4BD7.4B8.4B8.4B4.D43.4B$139.6B.6B16.B2AB8.2BDB8.4B
8.B2EB8.2BAB4.D43.4B$139.4B5.4B17.A3B8.D3B8.4B8.2E2B8.2B2A4.D43.4B$
139.2B2AB3.B2A2B18.4B6.D.4B8.4B8.4B8.2A2B4.D43.4B$141.2A5.2A21.4B4.D
3.4B8.4B8.BABA8.4B2.D45.4B$172.4B2.D5.4B8.4B8.B2AB8.4BD47.3BA$173.4BD
7.4B8.2BAB8.A3B8.2BDB48.ABAB$174.2BDB8.4B8.2B2A8.4B8.D3B48.2A2B$175.D
3B8.4B8.2A2B8.4B6.D.4B48.4B$174.D.4B8.BABA8.4B8.4B4.D3.4B48.4B$173.D
3.4B8.B2AB8.4B8.4B2.D5.4B48.4B$172.D5.2BAB8.A3B8.4B8.4BD7.4B48.4B$
173.D5.2B2A8.4B8.4B8.2BDB8.4B48.4B$174.D5.2A2B8.4B8.4B8.D3B8.BABA48.
4B$175.D5.4B8.4B8.4B6.D.4B8.B2AB48.4B$.4E171.D5.4B8.4B8.4B4.D3.2BAB8.
A3B48.4B$E3.E172.D5.4B8.4B8.4B2.D5.2B2A8.4B48.3BA.B$4.E173.D5.4B8.4B
8.4BD7.2A2B8.4B48.3BA2B$E2.E175.D5.4B8.4B8.BADA8.4B8.4B48.2AB3AB$180.
D5.4B8.4B8.D2AB8.4B8.4B50.2B2A$181.D5.4B8.4B6.D.A3B8.4B8.4B48.2BAB$
182.D5.2B10.2B6.D3.2B10.2B10.2B48.4B$183.D3.3B9.3B5.D3.3B9.3B9.3B47.
4B$184.D2.2B10.2B5.D4.2B10.2B10.2B47.4B$185.D4B8.4B3.D4.A3B8.4B8.4B
45.4B$185.BD2B8.4B3.D4.B2AB8.4B8.4B45.4B$184.3BD8.4B3.D4.BABA8.4B8.4B
45.4B$183.4B.D6.4B3.D4.4B8.2A2B8.4B45.4B$182.4B3.D4.4B3.D4.4B8.2B2A8.
4B45.4B$181.4B5.D2.4B3.D4.4B8.2BAB8.A3B45.A3B$180.4B7.D4B3.D4.4B8.4B
8.B2AB45.B2AB$179.2A2B8.BD2B3.D4.4B8.4B8.BABA45.BABA$178.2B2A8.3BD3.D
4.4B8.4B8.4B45.4B$177.2BAB8.A3B.D.D4.4B8.4B8.4B45.4B$176.4B8.B2AB3.D
4.4B8.4B8.4B45.4B$175.4B8.BABA8.4B8.4B8.4B45.4B$174.4B8.4B8.2A2B8.4B
8.4B45.4B$173.4B8.4B8.2B2A8.4B8.4B45.4B$172.4B8.4B8.2BAB8.A3B8.4B45.
4B$171.4B8.4B8.4B8.B2AB8.4B45.4B$140.2A5.2A21.4B8.4B8.4B8.BABA8.4B45.
4B$138.2B2AB3.B2A2B18.4B8.4B8.4B8.4B8.2A2B45.2A2B$138.4B5.4B17.A3B8.
4B8.4B8.4B8.2B2A45.2B2A$138.6B.6B16.B2AB8.4B8.4B8.4B8.2BAB45.2BAB$
138.6B.6B15.BABA8.4B8.4B8.4B8.4B45.4B$140.4B.4B16.4B8.2A2B8.4B8.4B8.
4B45.4B$139.5B.5B14.4B8.2B2A8.4B8.4B8.4B45.4B$139.5B.5B13.4B8.2BAB8.A
3B8.4B8.4B45.4B$138.6B.6B11.4B8.4B8.B2AB8.4B8.4B45.4B$139.5B.5B11.4B
8.4B8.BABA8.4B8.4B45.4B$138.6B.6B9.4B8.4B8.4B8.2A2B8.4B45.4B$138.6B.
6B8.4B8.4B8.4B8.2B2A8.4B45.4B$138.6B.6B7.4B8.4B8.4B8.2BAB8.A3B45.A3B$
138.6B.6B6.4B8.4B8.4B8.4B8.B2AB45.B2AB$138.2BA3B.3BA2B5.2A2B8.4B8.4B
8.4B8.BABA45.BABA$138.BABA2B.2BABAB4.2B2A8.4B8.4B8.4B8.4B45.4B$138.4B
AB.BA4B3.2BAB8.A3B8.4B8.4B8.4B45.4B$138.BA2BAB.BA2BAB2.4B8.B2AB8.4B8.
4B8.4B45.4B$138.2BABAB.BABA2B.4B8.BABA8.4B8.4B8.4B45.4B$139.3B2A.2A3B
.4B8.4B8.2A2B8.4B8.4B45.4B$138.B2AB2A.2AB2A4B8.4B8.2B2A8.4B8.4B45.4B$
110.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB8.A3B8.4B45.4B$110.4B.4B
2A9B2A3B2A3B3A3B3A3B8.4B8.4B8.B2AB8.4B45.4B$109.2A7BABA8BAB2AB2ABA3BA
5BA3B8.4B8.4B8.BABA8.4B45.4B$109.2A6B2ABA8BA7BA12B8.4B8.4B8.4B8.2A2B
45.2A2B$110.B.6B2A9BAB2AB2ABA5B.6B7.4B8.4B8.4B8.2B2A45.2B2A$112.7BA
10B2A3B2A5B3.4B7.4B8.4B8.4B8.2BAB45.2BAB$129.3B.B.2B.3B6.2B6.4B8.4B8.
4B8.4B45.4B$112.7BA15B4.B14.2A2B8.4B8.4B8.4B45.4B$110.B.6B2A15B.B16.
2B2A8.4B8.4B8.4B45.4B$109.2A6B2ABA15B2A14.2BAB8.A3B8.4B8.4B45.4B$109.
2A7BABA15B2A13.4B8.B2AB8.4B8.4B45.4B$110.4B.4B2A11B.4B13.4B8.BABA8.4B
8.4B45.4B$110.4B3.B.9B.B3.4B12.4B8.4B8.2A2B8.4B45.4B$148.4B8.4B8.2B2A
8.4B45.4B$147.4B8.4B8.2BAB8.A3B45.A3B$146.4B8.4B8.4B8.B2AB45.B2AB$
115.2A5.2A21.4B8.4B8.4B8.BABA45.BABA$113.2B2AB3.B2A2B18.4B8.4B8.4B8.
4B45.4B$113.4B5.4B17.A3B8.4B8.4B8.4B45.4B$113.6B.6B16.B2AB8.4B8.4B8.
4B45.4B$113.6B.6B15.BABA8.4B8.4B8.4B45.4B$115.4B.4B16.4B8.2A2B8.4B8.
4B45.4B$114.5B.5B14.4B8.2B2A8.4B8.4B45.4B$114.5B.5B13.4B8.2BAB8.A3B8.
4B45.4B$113.6B.6B11.4B8.4B8.B2AB8.4B45.4B$114.5B.5B11.4B8.4B8.BABA8.
4B45.4B$113.6B.6B9.4B8.4B8.4B8.2A2B45.2A2B$113.6B.6B8.4B8.4B8.4B8.2B
2A45.2B2A$113.6B.6B7.4B8.4B8.4B8.2BAB45.2BAB$113.6B.6B6.4B8.4B8.4B8.
4B45.4B$113.2BA3B.3BA2B5.2A2B8.4B8.4B8.4B45.4B$113.BABA2B.2BABAB4.2B
2A8.4B8.4B8.4B45.4B$113.4BAB.BA4B3.2BAB8.A3B8.4B8.4B45.4B$113.BA2BAB.
BA2BAB2.4B8.B2AB8.4B8.4B45.4B$113.2BABAB.BABA2B.4B8.BABA8.4B8.4B45.4B
$114.3B2A.2A3B.4B8.4B8.2A2B8.4B45.4B$113.B2AB2A.2AB2A4B8.4B8.2B2A8.4B
45.4B$85.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB8.A3B45.A3B$85.4B.
4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B8.B2AB45.B2AB$84.2A7BABA8BAB2AB2ABA3BA
5BA3B8.4B8.4B8.BABA45.BABA$84.2A6B2ABA8BA7BA12B8.4B8.4B8.4B45.4B$85.B
.6B2A9BAB2AB2ABA5B.6B7.4B8.4B8.4B45.4B$87.7BA10B2A3B2A5B3.4B7.4B8.4B
8.4B45.4B$104.3B.B.2B.3B6.2B6.4B8.4B8.4B45.4B$87.7BA15B4.B14.2A2B8.4B
8.4B45.4B$85.B.6B2A15B.B16.2B2A8.4B8.4B45.4B$84.2A6B2ABA15B2A14.2BAB
8.A3B8.4B45.4B$84.2A7BABA15B2A13.4B8.B2AB8.4B45.4B$85.4B.4B2A11B.4B
13.4B8.BABA8.4B45.4B$85.4B3.B.9B.B3.4B12.4B8.4B8.2A2B45.2A2B$123.4B8.
4B8.2B2A45.2B2A$122.4B8.4B8.2BAB45.2BAB$121.4B8.4B8.4B45.4B$90.2A5.2A
21.4B8.4B8.4B45.4B$88.2B2AB3.B2A2B18.4B8.4B8.4B45.4B$88.4B5.4B17.A3B
8.4B8.4B45.4B$88.6B.6B16.B2AB8.4B8.4B45.4B$88.6B.6B15.BABA8.4B8.4B45.
4B$90.4B.4B16.4B8.2A2B8.4B45.4B$89.5B.5B14.4B8.2B2A8.4B45.4B$89.5B.5B
13.4B8.2BAB8.A3B45.A3B$88.6B.6B11.4B8.4B8.B2AB45.B2AB$89.5B.5B11.4B8.
4B8.BABA45.BABA$88.6B.6B9.4B8.4B8.4B45.4B$88.6B.6B8.4B8.4B8.4B45.4B$
88.6B.6B7.4B8.4B8.4B45.4B$88.6B.6B6.4B8.4B8.4B45.4B$88.2BA3B.3BA2B5.
2A2B8.4B8.4B45.4B$88.BABA2B.2BABAB4.2B2A8.4B8.4B45.4B$88.4BAB.BA4B3.
2BAB8.A3B8.4B45.4B$88.BA2BAB.BA2BAB2.4B8.B2AB8.4B45.4B$88.2BABAB.BABA
2B.4B8.BABA8.4B45.4B$89.3B2A.2A3B.4B8.4B8.2A2B45.2A2B$88.B2AB2A.2AB2A
4B8.4B8.2B2A45.2B2A$60.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B8.2BAB45.2B
AB$60.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B8.4B45.4B$59.2A7BABA8BAB2AB2ABA3BA
5BA3B8.4B8.4B45.4B$59.2A6B2ABA8BA7BA12B8.4B8.4B45.4B$60.B.6B2A9BAB2AB
2ABA5B.6B7.4B8.4B45.4B$62.7BA10B2A3B2A5B3.4B7.4B8.4B45.4B$79.3B.B.2B.
3B6.2B6.4B8.4B45.4B$62.7BA15B4.B14.2A2B8.4B45.4B$60.B.6B2A15B.B16.2B
2A8.4B45.4B$59.2A6B2ABA15B2A14.2BAB8.A3B45.A3B$59.2A7BABA15B2A13.4B8.
B2AB45.B2AB$60.4B.4B2A11B.4B13.4B8.BABA45.BABA$60.4B3.B.9B.B3.4B12.4B
8.4B45.4B$98.4B8.4B45.4B$97.4B8.4B45.4B$96.4B8.4B45.4B$65.2A5.2A21.4B
8.4B45.4B$63.2B2AB3.B2A2B18.4B8.4B45.4B$63.4B5.4B17.A3B8.4B45.4B$63.
6B.6B16.B2AB8.4B45.4B$63.6B.6B15.BABA8.4B45.4B$65.4B.4B16.4B8.2A2B45.
2A2B$64.5B.5B14.4B8.2B2A45.2B2A$64.5B.5B13.4B8.2BAB45.2BAB$63.6B.6B
11.4B8.4B45.4B$64.5B.5B11.4B8.4B45.4B$63.6B.6B9.4B8.4B45.4B$63.6B.6B
8.4B8.4B45.4B$63.6B.6B7.4B8.4B45.4B$63.6B.6B6.4B8.4B45.4B$63.2BA3B.3B
A2B5.2A2B8.4B45.4B$63.BABA2B.2BABAB4.2B2A8.4B45.4B$63.4BAB.BA4B3.2BAB
8.A3B45.A3B$63.BA2BAB.BA2BAB2.4B8.B2AB45.B2AB$63.2BABAB.BABA2B.4B8.BA
BA45.BABA$64.3B2A.2A3B.4B8.4B45.4B$63.B2AB2A.2AB2A4B8.4B45.4B$35.4B3.
B.9B.3B.B.B.B.2A2BABA2B2A3B8.4B45.4B$35.4B.4B2A9B2A3B2A3B3A3B3A3B8.4B
45.4B$34.2A7BABA8BAB2AB2ABA3BA5BA3B8.4B45.4B$34.2A6B2ABA8BA7BA12B8.4B
45.4B$35.B.6B2A9BAB2AB2ABA5B.6B7.4B45.4B$37.7BA10B2A3B2A5B3.4B7.4B45.
4B$54.3B.B.2B.3B6.2B6.4B45.4B$37.7BA15B4.B14.2A2B45.2A2B$35.B.6B2A15B
.B16.2B2A45.2B2A$34.2A6B2ABA15B2A14.2BAB45.2BAB$34.2A7BABA15B2A13.4B
45.4B$35.4B.4B2A11B.4B13.4B45.4B$35.4B3.B.9B.B3.4B12.4B45.4B$73.4B45.
4B$72.4B45.4B$71.4B45.4B$40.2A5.2A21.4B45.4B$38.2B2AB3.B2A2B18.4B45.
4B$38.4B5.4B17.A3B45.A3B$38.6B.6B16.B2AB45.B2AB$38.6B.6B15.BABA45.BAB
A$40.4B.4B16.4B45.4B$39.5B.5B14.4B45.4B$39.5B.5B13.4B45.4B$38.6B.6B
11.4B45.4B$39.5B.5B11.4B45.4B$38.6B.6B9.4B45.4B$38.6B.6B8.4B45.4B$38.
6B.6B7.4B45.4B$38.6B.6B6.4B45.4B$38.2BA3B.3BA2B5.2A2B45.2A2B$38.BABA
2B.2BABAB4.2B2A45.2B2A$38.4BAB.BA4B3.2BAB45.2BAB$38.BA2BAB.BA2BAB2.4B
45.4B$38.2BABAB.BABA2B.4B45.4B$39.3B2A.2A3B.4B45.4B$38.B2AB2A.2AB2A4B
45.4B$10.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B45.4B$10.4B.4B2A9B2A3B2A3B3A
3B3A3B45.4B$9.2A7BABA8BAB2AB2ABA3BA5BA3B45.4B$9.2A6B2ABA8BA7BA12B45.
4B$10.B.6B2A9BAB2AB2ABA5B.6B44.A3B$12.7BA10B2A3B2A5B3.4B44.B2AB$29.3B
.B.2B.3B6.2B43.BABA$12.7BA15B4.B51.4B$10.B.6B2A15B.B53.4B$9.2A6B2ABA
15B2A51.4B$9.2A7BABA15B2A50.4B$10.4B.4B2A11B.4B50.4B$10.4B3.B.9B.B3.
4B49.4B$85.4B$84.4B$83.4B$82.2A2B$81.2B2A$80.2BAB$79.4B$78.4B$77.4B$
76.4B$75.4B$74.4B$43.2A5.2A21.4B$41.2B2AB3.B2A2B18.4B$41.4B5.4B17.A3B
$41.6B.6B16.B2AB$41.6B.6B15.BABA$43.4B.4B16.4B$42.5B.5B14.4B$42.5B.5B
13.4B$41.6B.6B11.4B$42.5B.5B11.4B$41.6B.6B9.4B$41.6B.6B8.4B$41.6B.6B
7.4B$41.6B.6B6.4B$41.2BA3B.3BA2B5.2A2B$41.BABA2B.2BABAB4.2B2A$41.4BAB
.BA4B3.2BAB$41.BA2BAB.BA2BAB2.4B$41.2BABAB.BABA2B.4B$42.3B2A.2A3B.4B$
41.B2AB2A.2AB2A4B$13.4B3.B.9B.3B.B.B.B.2A2BABA2B2A3B$13.4B.4B2A9B2A3B
2A3B3A3B3A3B$12.2A7BABA8BAB2AB2ABA3BA5BA3B$12.2A6B2ABA8BA7BA12B$13.B.
6B2A9BAB2AB2ABA5B.6B$15.7BA10B2A3B2A5B3.4B$32.3B.B.2B.3B6.2B$15.7BA
15B4.B$13.B.6B2A15B.B$12.2A6B2ABA15B2A$12.2A7BABA15B2A$13.4B.4B2A11B.
4B$13.4B3.B.9B.B3.4B!

The central red part is the singularity of White Hole. Objects that enter the interior are converted into a glider and bounced off. It also repels intrusion from the outside.
The problem is that the glider may not be able to decompose the internal patterns, in which case the structure will be destroyed. This can also occur when repelling spaceships attempting to enter from the outside.

Generally nope. You can’t distinguish 2 sparks from each other once the white hole became 6x6.
For ones with bounding box smaller than 6x6, if you’re trying to make the information out of it, then the retriever of the hole constructed with still lives must be very close to the pattern, and it must generate different ashes which an identifier can use to rebuild the pattern. This machine would eventually recreate the set of still lives that first died with their honorable achievements of extracting some informations from a pattern, but can never see the identification result. Kinda reminds me of a Chinese sci-fi book named “朝闻道” (OK I’ll stop. It’s too far from what I’m originally talking about)
Actually, since it can’t process another pattern while in it’s ‘repeat time’ of regenerating the retriever, there will never be a complete fast white hole with retrivablilty of more than 2x2. Probably possible with 1x1 or 2x2, I think?

[hotcrystal0]

Here's an improved white hole prototype:

Code: Select all

#CXRLE Pos=24,-7 Gen=990
x = 304, y = 521, rule = LifeHistory
11.2A19.2A$11.2AB17.B2A$13.B2.B.9B.B2.B12.A$11.12B2A3BA5B8.3A$10.2A
11B3ABAB2A2B2A6.A$10.2A11B3A4BA2B2A5.2BA$11.B.13BA3BAB.B4.A3BA$13.14B
3A2B6.A2B$31.2B4.2BA2B24.2A$13.14B3A4B2.A5BA23.A.A$11.B.13BA3BA5BA5BA
B23.AB$10.2A11B3A4BA5BA5BA3.4B3.B.9B2.2B$10.2A11B3ABAB2A3B.B.5B4.4B.
5BA13B$11.12B2A3BA6B3.3A4.2A8B2A12B2A$13.B2.B.9B.B3.4B2.2B5.2A7B2A13B
2A$11.2AB19.4B9.B.7B2A2B2A7B.B$11.2A21.4B10.19B$35.4B6.3B.B.3B$36.4B
5.22B$37.2BAB2.12B2A2B2A7B.B$12.4B3.B.9B.3B.B.3B2A12B2A13B2A$12.4B.
11B2A9B2A14B2A12B2A$11.2A15BABA25BA13B$11.2A17BA17B.B.3B.9B2.2B$12.B.
14B3A15B21.AB$14.26B3.3BA19.A.A$31.3B.B.3B4.ABAB18.2A$14.23B8.2A2B$
12.B.14B3A6B.B7.4B$11.2A17BA7B2A7.4B$11.2A15BABA7B2A8.4B$12.4B.11B2A
4B.4B10.BABA$12.4B3.B.9B.B3.4B11.B2AB$51.A3B$52.4B$53.4B$54.3BA$55.3B
A$56.3AB$57.4B$58.4B$59.4B$60.2BAB$61.2B2A$62.2A2B$63.4B$64.4B$65.4B$
66.3BA$67.ABAB$68.2A2B$69.4B$70.4B$71.4B$72.BABA$73.B2AB$74.A3B$75.4B
$76.4B$77.3BA$78.3BA$79.3AB$80.4B$2.4B3.B.4BA4B.B3.4B52.4B$2.4B.7BA2B
A6B.4B53.4B$.2A10B5A10B2A53.2BAB$.2A9B2AB3A10B2A54.2B2A$2.B.9BAB2A10B
.B56.2A2B$4.10B2A11B4.B54.4B$21.3B.B.2B.3B6.2B46.4B$4.10B2A8B2A8B3.4B
47.4B$2.B.9BAB2A6B3ABA7B.6B47.3BA$.2A9B2AB3A4BA4B3A12B48.ABAB$.2A10B
5A5B3ABA15B48.2A2B$2.4B.7BA2BA6B2A18B48.4B$2.4B3.B.4BA4B.3B.B.B.B.14B
48.4B$30.3BA2B.2BA6B48.4B$31.B3AB.B3AB.4B48.BABA$30.BA2B2A.2A2BAB.4B
48.B2AB$30.B3A2B.2B3AB2.BABA48.A3B$30.6B.6B3.B2AB48.4B$30.6B.6B4.A3B
48.4B$30.6B.6B5.4B48.3BA$30.6B.6B6.4B48.3BA$30.6B.6B7.4B48.3AB$30.6B.
6B8.4B48.4B$30.6B.6B9.4B48.4B$31.5B.5B11.4B48.4B$30.6B.6B11.4B48.2BAB
$31.5B.5B13.4B48.2B2A$31.5B.5B14.2BAB48.2A2B$32.4B.4B16.2B2A48.4B$30.
6B.6B15.2A2B48.4B$30.6B.6B16.4B48.4B$30.4B5.4B17.4B48.3BA$30.2B2AB3.B
2A2B18.4B48.ABAB$32.2A5.2A21.4B48.2A2B$63.4B48.4B$64.4B48.4B$65.4B48.
4B$27.4B3.B.4BA4B.B3.4B12.4B48.BABA$27.4B.7BA2BA6B.4B13.4B48.B2AB$26.
2A10B5A10B2A13.BABA48.A3B$26.2A9B2AB3A10B2A14.B2AB48.4B$27.B.9BAB2A
10B.B16.A3B48.4B$29.10B2A11B4.B14.4B48.3BA$46.3B.B.2B.3B6.2B6.4B48.3B
A$29.10B2A8B2A8B3.4B7.4B48.3AB$27.B.9BAB2A6B3ABA7B.6B7.4B48.4B$26.2A
9B2AB3A4BA4B3A12B8.4B48.4B$26.2A10B5A5B3ABA15B8.4B48.4B$27.4B.7BA2BA
6B2A18B8.4B48.2BAB$27.4B3.B.4BA4B.3B.B.B.B.14B8.4B48.2B2A$55.3BA2B.2B
A6B8.2BAB48.2A2B$56.B3AB.B3AB.4B8.2B2A48.4B$55.BA2B2A.2A2BAB.4B8.2A2B
48.4B$55.B3A2B.2B3AB2.BABA8.4B48.4B$55.6B.6B3.B2AB8.4B48.3BA$55.6B.6B
4.A3B8.4B48.ABAB$55.6B.6B5.4B8.4B48.2A2B$55.6B.6B6.4B8.4B48.4B$55.6B.
6B7.4B8.4B48.4B$55.6B.6B8.4B8.4B48.4B$55.6B.6B9.4B8.4B48.BABA$56.5B.
5B11.4B8.4B48.B2AB$55.6B.6B11.4B8.BABA48.A3B$56.5B.5B13.4B8.B2AB48.4B
$56.5B.5B14.2BAB8.A3B48.4B$57.4B.4B16.2B2A8.4B48.3BA$55.6B.6B15.2A2B
8.4B48.3BA$55.6B.6B16.4B8.4B48.3AB$55.4B5.4B17.4B8.4B48.4B$55.2B2AB3.
B2A2B18.4B8.4B48.4B$57.2A5.2A21.4B8.4B48.4B$88.4B8.4B48.2BAB$89.4B8.
4B48.2B2A$90.4B8.2BAB48.2A2B$52.4B3.B.4BA4B.B3.4B12.4B8.2B2A48.4B$52.
4B.7BA2BA6B.4B13.4B8.2A2B48.4B$51.2A10B5A10B2A13.BABA8.4B48.4B$51.2A
9B2AB3A10B2A14.B2AB8.4B48.3BA$52.B.9BAB2A10B.B16.A3B8.4B48.ABAB$54.
10B2A11B4.B14.4B8.4B48.2A2B$71.3B.B.2B.3B6.2B6.4B8.4B48.4B$54.10B2A8B
2A8B3.4B7.4B8.4B48.4B$52.B.9BAB2A6B3ABA7B.6B7.4B8.4B48.4B$51.2A9B2AB
3A4BA4B3A12B8.4B8.4B48.BABA$51.2A10B5A5B3ABA15B8.4B8.4B48.B2AB$52.4B.
7BA2BA6B2A18B8.4B8.BABA48.A3B$52.4B3.B.4BA4B.3B.B.B.B.14B8.4B8.B2AB
48.4B$80.3BA2B.2BA6B8.2BAB8.A3B48.4B$81.B3AB.B3AB.4B8.2B2A8.4B48.3BA$
80.BA2B2A.2A2BAB.4B8.2A2B8.4B48.3BA$80.B3A2B.2B3AB2.BABA8.4B8.4B48.3A
B$80.6B.6B3.B2AB8.4B8.4B48.4B$80.6B.6B4.A3B8.4B8.4B48.4B$80.6B.6B5.4B
8.4B8.4B48.4B$80.6B.6B6.4B8.4B8.4B48.2BAB$80.6B.6B7.4B8.4B8.4B48.2B2A
$80.6B.6B8.4B8.4B8.2BAB48.2A2B$80.6B.6B9.4B8.4B8.2B2A48.4B$81.5B.5B
11.4B8.4B8.2A2B48.4B$80.6B.6B11.4B8.BABA8.4B48.4B$81.5B.5B13.4B8.B2AB
8.4B48.3BA$81.5B.5B14.2BAB8.A3B8.4B48.ABAB$82.4B.4B16.2B2A8.4B8.4B48.
2A2B$80.6B.6B15.2A2B8.4B8.4B48.4B$80.6B.6B16.4B8.4B8.4B48.4B$80.4B5.
4B17.4B8.4B8.4B48.4B$80.2B2AB3.B2A2B18.4B8.4B8.4B48.BABA$82.2A5.2A21.
4B8.4B8.4B48.B2AB$113.4B8.4B8.BABA48.A3B$114.4B8.4B8.B2AB48.4B$115.4B
8.2BAB8.A3B48.4B$77.4B3.B.4BA4B.B3.4B12.4B8.2B2A8.4B48.3BA$77.4B.7BA
2BA6B.4B13.4B8.2A2B8.4B48.3BA$76.2A10B5A10B2A13.BABA8.4B8.4B48.3AB$
76.2A9B2AB3A10B2A14.B2AB8.4B8.4B48.4B$77.B.9BAB2A10B.B16.A3B8.4B8.4B
48.4B$79.10B2A11B4.B14.4B8.4B8.4B48.4B$96.3B.B.2B.3B6.2B6.4B8.4B8.4B
48.2BAB$79.10B2A8B2A8B3.4B7.4B8.4B8.4B48.2B2A3.3B$77.B.9BAB2A6B3ABA7B
.6B7.4B8.4B8.2BAB48.2A2B3.2B$76.2A9B2AB3A4BA4B3A12B8.4B8.4B8.2B2A48.
4B3.B$76.2A10B5A5B3ABA15B8.4B8.4B8.2A2B48.4B$77.4B.7BA2BA6B2A18B8.4B
8.BABA8.4B48.4B$77.4B3.B.4BA4B.3B.B.B.B.14B8.4B8.B2AB8.4B48.3BA$105.
3BA2B.2BA6B8.2BAB8.A3B8.4B48.ABAB$106.B3AB.B3AB.4B8.2B2A8.4B8.4B48.2A
2B$105.BA2B2A.2A2BAB.4B8.2A2B8.4B8.4B48.4B$105.B3A2B.2B3AB2.BABA8.4B
8.4B8.4B48.4B$105.6B.6B3.B2AB8.4B8.4B8.4B48.4B$105.6B.6B4.A3B8.4B8.4B
8.4B48.BABA$105.6B.6B5.4B8.4B8.4B8.4B48.B2AB$105.6B.6B6.4B8.4B8.4B8.B
ABA48.A3B$105.6B.6B7.4B8.4B8.4B8.B2AB48.4B$105.6B.6B8.4B8.4B8.2BAB8.A
3B48.4B$105.6B.6B9.4B8.4B8.2B2A8.4B48.3BA$106.5B.5B11.4B8.4B8.2A2B8.
4B48.3BA$105.6B.6B11.4B8.BABA8.4B8.4B48.3AB$106.5B.5B13.4B8.B2AB8.4B
8.4B48.4B$106.5B.5B14.2BAB8.A3B8.4B8.4B48.4B$107.4B.4B16.2B2A8.4B8.4B
8.4B48.4B$105.6B.6B15.2A2B8.4B8.4B8.4B48.2BAB41.B$105.6B.6B16.4B8.4B
8.4B8.4B48.2B2A39.2B$105.4B5.4B17.4B8.4B8.4B8.2BAB48.2A2B37.3B$105.2B
2AB3.B2A2B18.4B8.4B8.4B8.2B2A48.4B35.4B$107.2A5.2A21.4B8.4B8.4B8.2A2B
48.4B33.4B$138.4B8.4B8.BABA8.4B48.4B31.4B$139.4B8.4B8.B2AB8.4B48.3BA
29.4B$140.4B8.2BAB8.A3B8.4B48.ABAB27.4B$102.4B3.B.4BA4B.B3.4B12.4B8.
2B2A8.4B8.4B48.2A2B25.4B$102.4B.7BA2BA6B.4B13.4B8.2A2B8.4B8.4B48.4B
23.4B$101.2A10B5A10B2A13.BABA8.4B8.4B8.4B48.4B21.4B$101.2A9B2AB3A10B
2A14.B2AB8.4B8.4B8.4B48.4B19.4B$102.B.9BAB2A10B.B16.A3B8.4B8.4B8.4B
48.BABA17.4B$104.10B2A11B4.B14.4B8.4B8.4B8.4B48.B2AB15.4B$121.3B.B.2B
.3B6.2B6.4B8.4B8.4B8.BABA48.A3B13.4B$104.10B2A8B2A8B3.4B7.4B8.4B8.4B
8.B2AB48.4B11.4B$102.B.9BAB2A6B3ABA7B.6B7.4B8.4B8.2BAB8.A3B48.4B9.4B$
101.2A9B2AB3A4BA4B3A12B8.4B8.4B8.2B2A8.4B4.D43.3BA7.4B$101.2A10B5A5B
3ABA15B8.4B8.4B8.2A2B8.4B2.D.D43.3BA3.B.4B$102.4B.7BA2BA6B2A18B8.4B8.
BABA8.4B8.4BD3.D43.3AB.6B$102.4B3.B.4BA4B.3B.B.B.B.14B8.4B8.B2AB8.4B
8.2BDB4.D43.9B$130.3BA2B.2BA6B8.2BAB8.A3B8.4B8.D3B4.D43.7B$131.B3AB.B
3AB.4B8.2B2A8.4B8.4B6.D.4B4.D43.6B$130.BA2B2A.2A2BAB.4B8.2A2B8.4B8.4B
4.D3.4B4.D42.3BAB$130.B3A2B.2B3AB2.BABA8.4B8.4B8.4B2.D5.4B4.D43.2B2A$
130.6B.6B3.B2AB8.4B8.4B8.4BD7.2BAB4.D43.2A2B$130.6B.6B4.A3B8.4B8.4B8.
2BDB8.2B2A4.D43.4B2.2B$130.6B.6B5.4B8.4B8.4B8.D3B8.2A2B4.D43.8B$130.
6B.6B6.4B8.4B8.4B6.D.BABA8.4B4.D43.7B$130.6B.6B7.4B8.4B8.4B4.D3.B2AB
8.4B4.D43.3BA4B$130.6B.6B8.4B8.4B8.2BAB2.D5.A3B8.4B4.D43.ABA5B$130.6B
.6B9.4B8.4B8.2B2AD7.4B8.4B4.D41.2B2A6B$131.5B.5B11.4B8.4B8.2ADB8.4B8.
4B4.D40.9B$130.6B.6B11.4B8.BABA8.D3B8.4B8.4B4.D39.9B$131.5B.5B13.4B8.
B2AB6.D.4B8.4B8.4B4.D39.8B$131.5B.5B14.2BAB8.A3B4.D3.4B8.4B8.4B4.D38.
6BABA40.4B$132.4B.4B16.2B2A8.4B2.D5.4B8.4B8.4B4.D36.5B2.B2AB38.4B$
130.6B.6B15.2A2B8.4BD7.4B8.4B8.BABA4.D34.5B4.A3B36.4B$130.6B.6B16.4B
8.2BDB8.4B8.B2DB8.B2AB4.D32.4B7.4B34.4B$130.4B5.4B17.4B8.D3B8.4B8.2DA
B8.A3B4.D30.4B9.4B32.4B$130.2B2AB3.B2A2B18.4B6.D.4B8.4B8.2B2A8.4B4.D
28.4B11.3BA30.4B$132.2A5.2A21.4B4.D3.4B8.4B8.2A2B8.4B2.D28.4B13.3BA
28.4B$163.4B2.D5.4B8.BABA8.4B8.4BD28.4B15.3AB26.4B$164.4BD7.4B8.B2AB
8.4B8.2BDB27.4B17.4B24.4B$165.2BDB8.2BAB8.A3B8.4B8.D3B25.4B19.4B22.4B
$166.D3B8.2B2A8.4B8.4B6.D.4B23.4B21.4B20.4B$165.D.4B8.2A2B8.4B8.4B4.D
3.4B21.4B23.2BAB18.4B$164.D3.BABA8.4B8.4B8.4B2.D5.4B19.4B25.2B2A16.4B
$163.D5.B2AB8.4B8.4B8.4BD7.2BAB17.4B27.2A2B14.4B$164.D5.A3B7.5B8.4B8.
2BDB8.2B2A15.4B29.4B12.4B$165.D5.4B5.B.5B8.4B8.D3B8.2A2B13.4B31.4B10.
4B$59.107BD16B.4B8.4B6.D.BABA8.4B11.4B33.4B8.4B$59.108BD21B7.5B4.D2.
2B2AB7.5B9.4B35.3BA6.4B$59.109BD21B7.3BAB2.D4.BA3B7.5B7.4B37.ABAB.B2.
4B$59.110BD16B.4B5.5B2AD4.7B5.7B5.4B39.2A8B$59.111BD15B2.4B3.4B.2ADB
3.4B.4B3.4B.4B3.4B41.8B$171.D5.4B.2B5.BABA.4B3.D3B.4B3.4B.4B3.4B.4B
45.A3B$172.D5.7B5.B2A4B3.D.7B5.7B5.7B45.B2AB$173.D5.5B7.A4B3.D3.5B7.
5B7.5B45.BABA$174.D3.5B7.5B3.D3.5B7.5B7.5B45.4B$175.D2.4B8.A3B3.D4.4B
8.4B8.4B45.4B$176.D4B8.B2AB3.D4.4B8.4B8.4B45.4B$176.BD2B8.BABA3.D4.4B
8.4B8.4B45.2A2B$175.3BD8.4B3.D4.2A2B8.4B8.4B45.ABAB$174.4B.D6.4B3.D4.
2B2A8.4B8.4B45.3BA$173.4B3.D4.4B3.D4.2BAB8.A3B8.4B45.4B$172.4B5.D2.4B
3.D4.4B8.B2AB8.4B45.4B$171.4B7.D4B3.D4.4B8.BABA8.4B45.4B$170.4B8.BD2B
3.D4.4B8.4B8.2A2B45.2A2B$169.A3B8.3BD3.D4.4B8.4B8.2B2A45.2B2A$168.B2A
B8.4B.D.D4.4B8.4B8.2BAB45.2BAB$167.BABA8.4B3.D4.4B8.4B8.4B45.4B$166.
4B8.2A2B8.4B8.4B8.4B45.4B$165.4B8.2B2A8.4B8.4B8.4B45.4B$164.4B8.2BAB
8.A3B8.4B8.4B45.3AB$163.4B8.4B8.B2AB8.4B8.4B45.3BA$162.4B8.4B8.BABA8.
4B8.4B45.3BA$131.2A5.2A21.4B8.4B8.4B8.2A2B8.4B45.4B$129.2B2AB3.B2A2B
18.4B8.4B8.4B8.2B2A8.4B45.4B$129.4B5.4B17.4B8.4B8.4B8.2BAB8.A3B45.A3B
$129.6B.6B16.4B8.4B8.4B8.4B8.B2AB45.B2AB$129.6B.6B15.2A2B8.4B8.4B8.4B
8.BABA45.BABA$131.4B.4B16.2B2A8.4B8.4B8.4B8.4B45.4B$130.5B.5B14.2BAB
8.A3B8.4B8.4B8.4B45.4B$130.5B.5B13.4B8.B2AB8.4B8.4B8.4B45.4B$129.6B.
6B11.4B8.BABA8.4B8.4B8.4B45.2A2B$130.5B.5B11.4B8.4B8.2A2B8.4B8.4B45.A
BAB$129.6B.6B9.4B8.4B8.2B2A8.4B8.4B45.3BA$129.6B.6B8.4B8.4B8.2BAB8.A
3B8.4B45.4B$129.6B.6B7.4B8.4B8.4B8.B2AB8.4B45.4B$129.6B.6B6.4B8.4B8.
4B8.BABA8.4B45.4B$129.6B.6B5.4B8.4B8.4B8.4B8.2A2B45.2A2B$129.6B.6B4.A
3B8.4B8.4B8.4B8.2B2A45.2B2A$129.6B.6B3.B2AB8.4B8.4B8.4B8.2BAB45.2BAB$
129.B3A2B.2B3AB2.BABA8.4B8.4B8.4B8.4B45.4B$129.BA2B2A.2A2BAB.4B8.2A2B
8.4B8.4B8.4B45.4B$130.B3AB.B3AB.4B8.2B2A8.4B8.4B8.4B45.4B$129.3BA2B.
2BA6B8.2BAB8.A3B8.4B8.4B45.3AB$101.4B3.B.4BA4B.3B.B.B.B.14B8.4B8.B2AB
8.4B8.4B45.3BA$101.4B.7BA2BA6B2A18B8.4B8.BABA8.4B8.4B45.3BA$100.2A10B
5A5B3ABA15B8.4B8.4B8.2A2B8.4B45.4B$100.2A9B2AB3A4BA4B3A12B8.4B8.4B8.
2B2A8.4B45.4B$101.B.9BAB2A6B3ABA7B.6B7.4B8.4B8.2BAB8.A3B45.A3B$103.
10B2A8B2A8B3.4B7.4B8.4B8.4B8.B2AB45.B2AB$120.3B.B.2B.3B6.2B6.4B8.4B8.
4B8.BABA45.BABA$103.10B2A11B4.B14.4B8.4B8.4B8.4B45.4B$101.B.9BAB2A10B
.B16.A3B8.4B8.4B8.4B45.4B$100.2A9B2AB3A10B2A14.B2AB8.4B8.4B8.4B45.4B$
100.2A10B5A10B2A13.BABA8.4B8.4B8.4B45.2A2B$101.4B.7BA2BA6B.4B13.4B8.
2A2B8.4B8.4B45.ABAB$101.4B3.B.4BA4B.B3.4B12.4B8.2B2A8.4B8.4B45.3BA$
139.4B8.2BAB8.A3B8.4B45.4B$138.4B8.4B8.B2AB8.4B45.4B$137.4B8.4B8.BABA
8.4B45.4B$106.2A5.2A21.4B8.4B8.4B8.2A2B45.2A2B$104.2B2AB3.B2A2B18.4B
8.4B8.4B8.2B2A45.2B2A$104.4B5.4B17.4B8.4B8.4B8.2BAB45.2BAB$104.6B.6B
16.4B8.4B8.4B8.4B45.4B$104.6B.6B15.2A2B8.4B8.4B8.4B45.4B$106.4B.4B16.
2B2A8.4B8.4B8.4B45.4B$105.5B.5B14.2BAB8.A3B8.4B8.4B45.3AB$105.5B.5B
13.4B8.B2AB8.4B8.4B45.3BA$104.6B.6B11.4B8.BABA8.4B8.4B45.3BA$105.5B.
5B11.4B8.4B8.2A2B8.4B45.4B$104.6B.6B9.4B8.4B8.2B2A8.4B45.4B$104.6B.6B
8.4B8.4B8.2BAB8.A3B45.A3B$104.6B.6B7.4B8.4B8.4B8.B2AB45.B2AB$104.6B.
6B6.4B8.4B8.4B8.BABA45.BABA$104.6B.6B5.4B8.4B8.4B8.4B45.4B$104.6B.6B
4.A3B8.4B8.4B8.4B45.4B$104.6B.6B3.B2AB8.4B8.4B8.4B45.4B$104.B3A2B.2B
3AB2.BABA8.4B8.4B8.4B45.2A2B$104.BA2B2A.2A2BAB.4B8.2A2B8.4B8.4B45.ABA
B$105.B3AB.B3AB.4B8.2B2A8.4B8.4B45.3BA$104.3BA2B.2BA6B8.2BAB8.A3B8.4B
45.4B$76.4B3.B.4BA4B.3B.B.B.B.14B8.4B8.B2AB8.4B45.4B$76.4B.7BA2BA6B2A
18B8.4B8.BABA8.4B45.4B$75.2A10B5A5B3ABA15B8.4B8.4B8.2A2B45.2A2B$75.2A
9B2AB3A4BA4B3A12B8.4B8.4B8.2B2A45.2B2A$76.B.9BAB2A6B3ABA7B.6B7.4B8.4B
8.2BAB45.2BAB$78.10B2A8B2A8B3.4B7.4B8.4B8.4B45.4B$95.3B.B.2B.3B6.2B6.
4B8.4B8.4B45.4B$78.10B2A11B4.B14.4B8.4B8.4B45.4B$76.B.9BAB2A10B.B16.A
3B8.4B8.4B45.3AB$75.2A9B2AB3A10B2A14.B2AB8.4B8.4B45.3BA$75.2A10B5A10B
2A13.BABA8.4B8.4B45.3BA$76.4B.7BA2BA6B.4B13.4B8.2A2B8.4B45.4B$76.4B3.
B.4BA4B.B3.4B12.4B8.2B2A8.4B45.4B$114.4B8.2BAB8.A3B45.A3B$113.4B8.4B
8.B2AB45.B2AB$112.4B8.4B8.BABA45.BABA$81.2A5.2A21.4B8.4B8.4B45.4B$79.
2B2AB3.B2A2B18.4B8.4B8.4B45.4B$79.4B5.4B17.4B8.4B8.4B45.4B$79.6B.6B
16.4B8.4B8.4B45.2A2B$79.6B.6B15.2A2B8.4B8.4B45.ABAB$81.4B.4B16.2B2A8.
4B8.4B45.3BA$80.5B.5B14.2BAB8.A3B8.4B45.4B$80.5B.5B13.4B8.B2AB8.4B45.
4B$79.6B.6B11.4B8.BABA8.4B45.4B$80.5B.5B11.4B8.4B8.2A2B45.2A2B$79.6B.
6B9.4B8.4B8.2B2A45.2B2A$79.6B.6B8.4B8.4B8.2BAB45.2BAB$79.6B.6B7.4B8.
4B8.4B45.4B$79.6B.6B6.4B8.4B8.4B45.4B$79.6B.6B5.4B8.4B8.4B45.4B$79.6B
.6B4.A3B8.4B8.4B45.3AB$79.6B.6B3.B2AB8.4B8.4B45.3BA$79.B3A2B.2B3AB2.B
ABA8.4B8.4B45.3BA$79.BA2B2A.2A2BAB.4B8.2A2B8.4B45.4B$80.B3AB.B3AB.4B
8.2B2A8.4B45.4B$79.3BA2B.2BA6B8.2BAB8.A3B45.A3B$51.4B3.B.4BA4B.3B.B.B
.B.14B8.4B8.B2AB45.B2AB$51.4B.7BA2BA6B2A18B8.4B8.BABA45.BABA$50.2A10B
5A5B3ABA15B8.4B8.4B45.4B$50.2A9B2AB3A4BA4B3A12B8.4B8.4B45.4B$51.B.9BA
B2A6B3ABA7B.6B7.4B8.4B45.4B$53.10B2A8B2A8B3.4B7.4B8.4B45.2A2B$70.3B.B
.2B.3B6.2B6.4B8.4B45.ABAB$53.10B2A11B4.B14.4B8.4B45.3BA$51.B.9BAB2A
10B.B16.A3B8.4B45.4B$50.2A9B2AB3A10B2A14.B2AB8.4B45.4B$50.2A10B5A10B
2A13.BABA8.4B45.4B$51.4B.7BA2BA6B.4B13.4B8.2A2B45.2A2B$51.4B3.B.4BA4B
.B3.4B12.4B8.2B2A45.2B2A$89.4B8.2BAB45.2BAB$88.4B8.4B45.4B$87.4B8.4B
45.4B$56.2A5.2A21.4B8.4B45.4B$54.2B2AB3.B2A2B18.4B8.4B45.3AB$54.4B5.
4B17.4B8.4B45.3BA$54.6B.6B16.4B8.4B45.3BA$54.6B.6B15.2A2B8.4B45.4B$
56.4B.4B16.2B2A8.4B45.4B$55.5B.5B14.2BAB8.A3B45.A3B$55.5B.5B13.4B8.B
2AB45.B2AB$54.6B.6B11.4B8.BABA45.BABA$55.5B.5B11.4B8.4B45.4B$54.6B.6B
9.4B8.4B45.4B$54.6B.6B8.4B8.4B45.4B$54.6B.6B7.4B8.4B45.2A2B$54.6B.6B
6.4B8.4B45.ABAB$54.6B.6B5.4B8.4B45.3BA$54.6B.6B4.A3B8.4B45.4B$54.6B.
6B3.B2AB8.4B45.4B$54.B3A2B.2B3AB2.BABA8.4B45.4B$54.BA2B2A.2A2BAB.4B8.
2A2B45.2A2B$55.B3AB.B3AB.4B8.2B2A45.2B2A$54.3BA2B.2BA6B8.2BAB45.2BAB$
26.4B3.B.4BA4B.3B.B.B.B.14B8.4B45.4B$26.4B.7BA2BA6B2A18B8.4B45.4B$25.
2A10B5A5B3ABA15B8.4B45.4B$25.2A9B2AB3A4BA4B3A12B8.4B45.3AB$26.B.9BAB
2A6B3ABA7B.6B7.4B45.3BA$28.10B2A8B2A8B3.4B7.4B45.3BA$45.3B.B.2B.3B6.
2B6.4B45.4B$28.10B2A11B4.B14.4B45.4B$26.B.9BAB2A10B.B16.A3B45.A3B$25.
2A9B2AB3A10B2A14.B2AB45.B2AB$25.2A10B5A10B2A13.BABA45.BABA$26.4B.7BA
2BA6B.4B13.4B45.4B$26.4B3.B.4BA4B.B3.4B12.4B45.4B$64.4B45.4B$63.4B45.
2A2B$62.4B45.ABAB$31.2A5.2A21.4B45.3BA$29.2B2AB3.B2A2B18.4B45.4B$29.
4B5.4B17.4B45.4B$29.6B.6B16.4B45.4B$29.6B.6B15.2A2B45.2A2B$31.4B.4B
16.2B2A45.2B2A$30.5B.5B14.2BAB45.2BAB$30.5B.5B13.4B45.4B$29.6B.6B11.
4B45.4B$30.5B.5B11.4B45.4B$29.6B.6B9.4B45.3AB$29.6B.6B8.4B45.3BA$29.
6B.6B7.4B45.3BA$29.6B.6B6.4B45.4B$29.6B.6B5.4B45.4B$29.6B.6B4.A3B45.A
3B$29.6B.6B3.B2AB45.B2AB$29.B3A2B.2B3AB2.BABA45.BABA$29.BA2B2A.2A2BAB
.4B45.4B$30.B3AB.B3AB.4B45.4B$29.3BA2B.2BA6B45.4B$.4B3.B.4BA4B.3B.B.B
.B.14B45.2A2B$.4B.7BA2BA6B2A18B45.ABAB$2A10B5A5B3ABA15B45.3BA$2A9B2AB
3A4BA4B3A12B45.4B$.B.9BAB2A6B3ABA7B.6B44.4B$3.10B2A8B2A8B3.4B44.4B$
20.3B.B.2B.3B6.2B43.2A2B$3.10B2A11B4.B51.2B2A$.B.9BAB2A10B.B53.2BAB$
2A9B2AB3A10B2A51.4B$2A10B5A10B2A50.4B$.4B.7BA2BA6B.4B14.2A5.2A27.4B$.
4B3.B.4BA4B.B3.4B13.B2AB3.B2AB25.3AB$38.AB.3B5.3B.BA21.3BA$37.A.A5B3.
5BA.A19.3BA$37.2A.6B.6B.2A18.4B$41.5B.5B21.4B$41.5B.5B20.A3B$40.6B.6B
18.B2AB$40.6B.6B17.BABA$40.6B.6B16.4B$40.4BAB.BA4B15.4B$40.4BAB.BA4B
14.4B$40.6B.6B13.2A2B$40.6B.6B12.ABAB$40.B2ABAB.BAB2AB11.3BA$40.2B3AB
.B3A2B10.4B$41.2BA2B.2BA2B10.4B$40.13B8.4B$41.12B7.2A2B$41.12B6.2B2A$
42.4B.5B6.2BAB$40.13B4.4B$40.6B.5B4.4B$40.4B2.7B2.4B$40.2B2AB.7B.3AB$
42.2A2.10BA$31.2A15.7BA$32.A6.B8.7B$32.A.2A2.3A8.5B$33.A2B.5B7.A4B$
34.8BA5.B2A3B$35.2BA4BAB3.BABA5B2.2A$35.2A5BAB2.10B.B2A2B$37.5B3.11B
2.4B$38.3A3.4B2.5B.6B$39.3B.4B2.13B$33.2A4.2B.4B4.5B.4B$29.2A.B2AB2.
7B4.12B$29.2A.3B2.7B5.12B$30.13B6.13B$32.B3AB.B3AB7.B3AB.B3AB$32.BA2B
A.A2BAB6.BA2BAB.BA2BAB$31.BA3BA.A3BAB5.B2ABAB.BAB2AB$32.BA2BA.A2BAB6.
6B.6B$31.4BAB.BA4B5.6B.6B$31.2B2A2B.2B2A2B5.6B.6B$31.B3A2B.2B3AB5.6B.
6B$31.B3A2B.2B3AB5.6B.6B$31.6B.6B5.6B.6B$31.6B.6B5.6B.6B$31.6B.6B6.5B
.5B$31.6B.6B5.6B.6B$31.6B.6B6.5B.5B$32.5B.5B7.5B.5B$31.6B.6B7.4B.4B$
32.5B.5B6.6B.6B$32.5B.5B6.6B.6B$30.7B.7B4.4B5.4B$29.2A.3B5.3B.2A3.2B
2AB3.B2A2B$29.2A.B2AB3.B2AB.2A5.2A5.2A$33.2A5.2A!

[Wyirm]

Technically, the definition of a white hole is a time-reversed black hole. In other words, it is a causally disconnected piece of space-time which is impossible to enter without traveling faster than c. There is no rule saying objects inside a white hole must exit, only that the flow of information must not point inwards. Information can leave, but it does not have to, just as black holes don't require everything in the observable universe to enter them. Would such a white hole be easier to construct? Would it still be impossible?

[dvgrn]

Would such a white hole be easier to construct? Would it still be impossible?

They both seem pretty much equally unlikely to exist, at least to me -- to the point where I wouldn't even know how to start thinking about trying to build one that would work. There are always going to be so many highly inviting points of attack, for getting information into a candidate white hole.

As a quick example, here's hotcrystal0's latest white hole prototype. I'll just start adding gliders until I get through the protective layer...

Code: Select all

x = 513, y = 527, rule = LifeHistory
91.A$92.2A$77.A13.2A$64.A.A11.2A$65.2A10.2A$65.A$222.2A19.2A23.2A19.
2A$222.2A19.2A23.2A19.2A$211.A89.A$211.3A13.A3.2A47.2A3.A13.3A$214.A
6.2A2.2A.A.3A11.2A21.2A11.3A.A.2A2.2A6.A$213.A7.2A2.A4.3A11.2A21.2A
11.3A4.A2.2A7.A$213.A3.A7.A3.A53.A3.A7.A3.A$217.A8.3A55.3A8.A$188.2A
26.A79.A26.2A$187.A.A23.A5.A6.3A55.3A6.A5.A23.A.A$188.A24.A5.A5.A3.A
53.A3.A5.A5.A24.A$213.A5.A5.A4.3A11.2A21.2A11.3A4.A5.A5.A$199.A25.2A.
A.3A11.2A21.2A11.3A.A.2A25.A$185.2A12.2A8.2A4.3A9.A3.2A47.2A3.A9.3A4.
2A8.2A12.2A$185.2A13.2A7.2A91.2A7.2A13.2A$195.2A2.2A42.2A23.2A42.2A2.
2A$243.2A23.2A3$195.2A2.2A15.A79.A15.2A2.2A$185.2A13.2A12.2A81.2A12.
2A13.2A$185.2A12.2A14.2A9.2A57.2A9.2A14.2A12.2A$199.A25.A.A15.2A23.2A
15.A.A25.A$225.A17.2A23.2A17.A$188.A36.3A57.3A36.A$187.A.A19.A93.A19.
A.A$188.2A19.A.A89.A.A19.2A$209.2A91.2A$225.3A57.3A$216.2A7.A17.2A23.
2A17.A7.2A$216.2A7.A.A15.2A23.2A15.A.A7.2A$203.A.A20.2A57.2A20.A.A$
203.2A103.2A$204.A103.A3$198.A115.A$197.A117.A$197.3A113.3A4$193.A
125.A$191.2A127.2A$192.2A125.2A4$186.A139.A$186.A.A135.A.A$186.2A137.
2A4$180.A.A147.A.A$180.2A149.2A$181.A149.A3$175.A161.A$174.A163.A$
174.3A159.3A2$240.A31.A$238.A2.A29.A2.A$170.A55.2A10.5A10.2A3.2A10.5A
10.2A55.A$168.2A56.2A10.3A.2A9.2A3.2A9.2A.3A10.2A56.2A$169.2A68.2A.A
27.A.2A68.2A$240.2A29.2A2$230.2A8.2A29.2A8.2A$163.A64.A.3A6.2A.A27.A.
2A6.3A.A64.A$163.A.A60.3A4.A4.3A.2A9.2A3.2A9.2A.3A4.A4.3A60.A.A$163.
2A63.A.3A5.5A10.2A3.2A10.5A5.3A.A63.2A$230.2A6.A2.A29.A2.A6.2A$240.A
31.A$216.A5.A67.A5.A$157.A.A55.3A3.3A65.3A3.3A55.A.A$157.2A55.A2.2A.
2A2.A63.A2.2A.2A2.A55.2A$158.A48.A.A4.3A5.3A63.3A5.3A4.A.A48.A$207.2A
95.2A$208.A95.A$152.A207.A$151.A209.A$151.3A205.3A4$147.A217.A$145.2A
219.2A$146.2A49.A117.A49.2A$195.2A119.2A$196.2A117.2A2$140.A231.A$
140.A.A72.2A5.2A65.2A5.2A72.A.A$140.2A73.2A5.2A65.2A5.2A73.2A4$134.A.
A78.A81.A78.A.A$134.2A77.A2.A79.A2.A77.2A$135.A48.A.A14.2A10.5A10.2A
53.2A10.5A10.2A14.A.A48.A$184.2A15.2A10.3A.2A9.2A53.2A9.2A.3A10.2A15.
2A$185.A28.2A.A77.A.2A28.A$129.A85.2A79.2A85.A$128.A255.A$128.3A74.2A
8.2A79.2A8.2A74.3A$203.A.3A6.2A.A77.A.2A6.3A.A$201.3A4.A4.3A.2A9.2A
53.2A9.2A.3A4.A4.3A$203.A.3A5.5A10.2A53.2A10.5A5.3A.A$124.A80.2A6.A2.
A79.A2.A6.2A80.A$122.2A91.A81.A91.2A$123.2A49.A16.A5.A117.A5.A16.A49.
2A$172.2A16.3A3.3A115.3A3.3A16.2A$173.2A14.A2.2A.2A2.A113.A2.2A.2A2.A
14.2A$182.A.A4.3A5.3A113.3A5.3A4.A.A$117.A64.2A145.2A64.A$117.A.A63.A
145.A63.A.A$117.2A275.2A4$111.A.A285.A.A$111.2A287.2A$112.A48.A.A185.
A.A48.A$161.2A187.2A$162.A9.A167.A9.A$106.A63.2A169.2A63.A$105.A65.2A
167.2A65.A$105.3A297.3A2$190.2A5.2A115.2A5.2A$190.2A5.2A115.2A5.2A$
101.A309.A$99.2A311.2A$100.2A49.A209.A49.2A$149.2A39.A131.A39.2A$150.
2A36.A2.A129.A2.A36.2A$159.A.A14.2A10.5A10.2A103.2A10.5A10.2A14.A.A$
94.A64.2A15.2A10.3A.2A9.2A103.2A9.2A.3A10.2A15.2A64.A$94.A.A63.A28.2A
.A127.A.2A28.A63.A.A$94.2A94.2A129.2A94.2A2$180.2A8.2A129.2A8.2A$178.
A.3A6.2A.A127.A.2A6.3A.A$88.A.A85.3A4.A4.3A.2A9.2A103.2A9.2A.3A4.A4.
3A85.A.A$88.2A88.A.3A5.5A10.2A103.2A10.5A5.3A.A88.2A$89.A48.A.A39.2A
6.A2.A129.A2.A6.2A39.A.A48.A$138.2A50.A131.A50.2A$139.A9.A16.A5.A167.
A5.A16.A9.A$83.A63.2A16.3A3.3A165.3A3.3A16.2A63.A$82.A65.2A14.A2.2A.
2A2.A163.A2.2A.2A2.A14.2A65.A$82.3A72.A.A4.3A5.3A163.3A5.3A4.A.A72.3A
$157.2A195.2A$158.A195.A2$78.A355.A$76.2A357.2A$77.2A49.A255.A49.2A$
126.2A257.2A$127.2A255.2A$136.A.A235.A.A$71.A64.2A237.2A64.A$71.A.A
63.A9.A217.A9.A63.A.A$71.2A72.2A219.2A72.2A$146.2A217.2A3$65.A.A97.2A
5.2A165.2A5.2A97.A.A$65.2A98.2A5.2A165.2A5.2A98.2A$66.A48.A.A277.A.A
48.A$115.2A279.2A$116.A9.A259.A9.A$60.A63.2A39.A181.A39.2A63.A$59.A
65.2A36.A2.A179.A2.A36.2A65.A$59.3A72.A.A14.2A10.5A10.2A153.2A10.5A
10.2A14.A.A72.3A$134.2A15.2A10.3A.2A9.2A153.2A9.2A.3A10.2A15.2A$135.A
28.2A.A177.A.2A28.A$165.2A179.2A$55.A401.A$53.2A100.2A8.2A179.2A8.2A
100.2A$54.2A49.A47.A.3A6.2A.A177.A.2A6.3A.A47.A49.2A$103.2A46.3A4.A4.
3A.2A9.2A153.2A9.2A.3A4.A4.3A46.2A$104.2A47.A.3A5.5A10.2A153.2A10.5A
5.3A.A47.2A$113.A.A39.2A6.A2.A179.A2.A6.2A39.A.A$48.A64.2A50.A181.A
50.2A64.A$48.A.A63.A9.A16.A5.A217.A5.A16.A9.A63.A.A$48.2A72.2A16.3A3.
3A215.3A3.3A16.2A72.2A$123.2A14.A2.2A.2A2.A213.A2.2A.2A2.A14.2A$132.A
.A4.3A5.3A213.3A5.3A4.A.A$132.2A245.2A$42.A.A88.A245.A88.A.A$42.2A
425.2A$43.A48.A.A323.A.A48.A$92.2A325.2A$93.A9.A305.A9.A$37.A63.2A
307.2A63.A$36.A65.2A305.2A65.A$36.3A72.A.A285.A.A72.3A$111.2A287.2A$
112.A9.A267.A9.A$120.2A269.2A$32.A88.2A267.2A88.A$30.2A449.2A$31.2A
49.A347.A49.2A$80.2A58.2A5.2A215.2A5.2A58.2A$81.2A57.2A5.2A215.2A5.2A
57.2A$90.A.A327.A.A$25.A64.2A329.2A64.A$25.A.A63.A9.A309.A9.A63.A.A$
25.2A72.2A39.A231.A39.2A72.2A$100.2A36.A2.A229.A2.A36.2A$109.A.A14.2A
10.5A10.2A203.2A10.5A10.2A14.A.A$109.2A15.2A10.3A.2A9.2A203.2A9.2A.3A
10.2A15.2A$19.A.A88.A28.2A.A227.A.2A28.A88.A.A$19.2A119.2A229.2A119.
2A$20.A48.A.A369.A.A48.A$69.2A59.2A8.2A229.2A8.2A59.2A$70.A9.A47.A.3A
6.2A.A227.A.2A6.3A.A47.A9.A$14.A46.D16.2A46.3A4.A4.3A.2A9.2A203.2A9.
2A.3A4.A4.3A46.2A16.D46.A$13.A46.D.D16.2A47.A.3A5.5A10.2A203.2A10.5A
5.3A.A47.2A16.D.D46.A$13.3A43.D3.D24.A.A39.2A6.A2.A229.A2.A6.2A39.A.A
24.D3.D43.3A$58.D5.D23.2A50.A231.A50.2A23.D5.D$57.D7.D23.A9.A16.A5.A
267.A5.A16.A9.A23.D7.D$56.D9.D30.2A16.3A3.3A265.3A3.3A16.2A30.D9.D$9.
A45.D11.D30.2A14.A2.2A.2A2.A263.A2.2A.2A2.A14.2A30.D11.D45.A$7.2A45.D
13.D38.A.A4.3A5.3A263.3A5.3A4.A.A38.D13.D45.2A$8.2A43.D5.A9.D37.2A
295.2A37.D9.A5.D43.2A$52.D4.2A11.D37.A295.A37.D11.2A4.D$51.D6.2A11.D
369.D11.2A6.D$50.D16.A.A2.D367.D2.A.A16.D$2.A46.D17.2A4.D365.D4.2A17.
D46.A$2.A.A43.D19.A5.D3.A355.A3.D5.A19.D43.A.A$2.2A43.D27.D2A357.2AD
27.D43.2A$46.D29.D2A355.2AD29.D$45.D31.D8.A.A335.A.A8.D31.D$44.D33.D
7.2A337.2A7.D33.D$43.D35.D7.A9.A317.A9.A7.D35.D$42.D37.D14.2A319.2A
14.D37.D$41.D4.A.A32.D14.2A317.2A14.D32.A.A4.D$40.D5.2A10.2D22.D347.D
22.2D10.2A5.D$39.D7.A9.A2D23.D345.D23.2DA9.A7.D$38.D16.2A27.D30.2A5.
2A265.2A5.2A30.D27.2A16.D$39.D16.2A27.D29.2A5.2A265.2A5.2A29.D27.2A
16.D$40.D24.A.A18.D339.D18.A.A24.D$41.D23.2A20.D337.D20.2A23.D$42.D
23.A9.A11.D335.D11.A9.A23.D$43.D30.2A13.D333.D13.2A30.D$44.D30.2A13.D
331.D13.2A30.D$45.D38.A.A4.D329.D4.A.A38.D$36.A9.D37.2A6.D327.D6.2A
37.D9.A$34.2A11.D37.A5.D329.D5.A37.D11.2A$35.2A11.D41.D331.D41.D11.2A
$44.A.A2.D39.D333.D39.D2.A.A$44.2A4.D37.D335.D37.D4.2A$45.A5.D3.A31.D
337.D31.A3.D5.A$52.D2A31.D339.D31.2AD$53.D2A29.D341.D29.2AD$54.D8.A.A
18.D343.D18.A.A8.D$55.D7.2A18.D345.D18.2A7.D$56.D7.A17.D347.D17.A7.D$
57.D23.D349.D23.D$58.D6.A14.D351.D14.A6.D$59.D4.2A13.D353.D13.2A4.D$
60.D3.A.A11.D355.D11.A.A3.D$55.2A4.D15.D357.D15.D4.2A$54.2A6.D13.D
359.D13.D6.2A$46.A9.A6.D11.D361.D11.D6.A9.A$45.2A17.D9.D363.D9.D17.2A
$45.A.A17.D7.D365.D7.D17.A.A$36.2A28.D5.D367.D5.D28.2A$35.2A30.D3.D
14.A339.A14.D3.D30.2A$37.A30.D.D14.2A339.2A14.D.D30.A$69.D15.A.A337.A
.A15.D$76.2A357.2A$75.2A359.2A$67.A9.A357.A9.A$66.2A377.2A$66.A.A375.
A.A$57.2A57.2A5.2A263.2A5.2A57.2A$56.2A58.2A5.2A263.2A5.2A58.2A$48.A
9.A395.A9.A$47.2A415.2A$A46.A.A47.2A315.2A47.A.A46.A$96.2A317.2A$88.A
9.A315.A9.A$87.2A335.2A$4.2A81.A.A333.A.A81.2A$4.A.A71.2A353.2A71.A.A
$4.A72.2A355.2A72.A$69.A9.A353.A9.A$68.2A373.2A$68.A.A371.A.A$10.2A
47.2A391.2A47.2A$9.2A47.2A49.A293.A49.2A47.2A$11.A48.A47.2A293.2A47.A
48.A$108.A.A4.3A5.3A261.3A5.3A4.A.A$99.2A14.A2.2A.2A2.A261.A2.2A.2A2.
A14.2A$98.2A16.3A3.3A263.3A3.3A16.2A$15.3A72.A9.A16.A5.A265.A5.A16.A
9.A72.3A$15.A73.2A50.A229.A50.2A73.A$16.A72.A.A39.2A6.A2.A227.A2.A6.
2A39.A.A72.A$80.2A47.A.3A5.5A10.2A201.2A10.5A5.3A.A47.2A$79.2A46.3A4.
A4.3A.2A9.2A201.2A9.2A.3A4.A4.3A46.2A$22.A48.A9.A47.A.3A6.2A.A225.A.
2A6.3A.A47.A9.A48.A$21.2A47.2A59.2A8.2A227.2A8.2A59.2A47.2A$21.A.A46.
A.A367.A.A46.A.A$141.2A227.2A$111.A28.2A.A225.A.2A28.A$110.2A15.2A10.
3A.2A9.2A201.2A9.2A.3A10.2A15.2A$27.2A81.A.A14.2A10.5A10.2A201.2A10.
5A10.2A14.A.A81.2A$27.A.A71.2A36.A2.A227.A2.A36.2A71.A.A$27.A72.2A39.
A229.A39.2A72.A$92.A9.A307.A9.A$91.2A327.2A$91.A.A325.A.A$33.2A47.2A
57.2A5.2A213.2A5.2A57.2A47.2A$32.2A47.2A58.2A5.2A213.2A5.2A58.2A47.2A
$34.A48.A345.A48.A2$122.2A265.2A$121.2A267.2A$38.3A72.A9.A265.A9.A72.
3A$38.A73.2A285.2A73.A$39.A72.A.A283.A.A72.A$103.2A303.2A$102.2A305.
2A$45.A48.A9.A303.A9.A48.A$44.2A47.2A323.2A47.2A$44.A.A46.A.A321.A.A
46.A.A2$134.A243.A$133.2A243.2A$50.2A81.A.A4.3A5.3A211.3A5.3A4.A.A81.
2A$50.A.A71.2A14.A2.2A.2A2.A211.A2.2A.2A2.A14.2A71.A.A$50.A72.2A16.3A
3.3A213.3A3.3A16.2A72.A$115.A9.A16.A5.A215.A5.A16.A9.A$114.2A50.A179.
A50.2A$114.A.A39.2A6.A2.A177.A2.A6.2A39.A.A$56.2A47.2A47.A.3A5.5A10.
2A151.2A10.5A5.3A.A47.2A47.2A$55.2A47.2A46.3A4.A4.3A.2A9.2A151.2A9.2A
.3A4.A4.3A46.2A47.2A$57.A48.A47.A.3A6.2A.A175.A.2A6.3A.A47.A48.A$156.
2A8.2A177.2A8.2A2$166.2A177.2A$61.3A72.A28.2A.A175.A.2A28.A72.3A$61.A
73.2A15.2A10.3A.2A9.2A151.2A9.2A.3A10.2A15.2A73.A$62.A72.A.A14.2A10.
5A10.2A151.2A10.5A10.2A14.A.A72.A$126.2A36.A2.A177.A2.A36.2A$125.2A
39.A179.A39.2A$68.A48.A9.A257.A9.A48.A$67.2A47.2A277.2A47.2A$67.A.A
46.A.A275.A.A46.A.A$166.2A5.2A163.2A5.2A$166.2A5.2A163.2A5.2A2$73.2A
363.2A$73.A.A71.2A215.2A71.A.A$73.A72.2A217.2A72.A$138.A9.A215.A9.A$
137.2A235.2A$137.A.A233.A.A$79.2A47.2A253.2A47.2A$78.2A47.2A255.2A47.
2A$80.A48.A253.A48.A4$84.3A72.A193.A72.3A$84.A73.2A193.2A73.A$85.A72.
A.A4.3A5.3A161.3A5.3A4.A.A72.A$149.2A14.A2.2A.2A2.A161.A2.2A.2A2.A14.
2A$148.2A16.3A3.3A163.3A3.3A16.2A$91.A48.A9.A16.A5.A165.A5.A16.A9.A
48.A$90.2A47.2A50.A129.A50.2A47.2A$90.A.A46.A.A39.2A6.A2.A127.A2.A6.
2A39.A.A46.A.A$179.A.3A5.5A10.2A101.2A10.5A5.3A.A$177.3A4.A4.3A.2A9.
2A101.2A9.2A.3A4.A4.3A$179.A.3A6.2A.A125.A.2A6.3A.A$96.2A83.2A8.2A
127.2A8.2A83.2A$96.A.A315.A.A$96.A94.2A127.2A94.A$161.A28.2A.A125.A.
2A28.A$160.2A15.2A10.3A.2A9.2A101.2A9.2A.3A10.2A15.2A$160.A.A14.2A10.
5A10.2A101.2A10.5A10.2A14.A.A$102.2A47.2A36.A2.A127.A2.A36.2A47.2A$
101.2A47.2A39.A129.A39.2A47.2A$103.A48.A207.A48.A3$191.2A5.2A113.2A5.
2A$107.3A81.2A5.2A113.2A5.2A81.3A$107.A297.A$108.A295.A$172.2A165.2A$
171.2A167.2A$114.A48.A9.A165.A9.A48.A$113.2A47.2A185.2A47.2A$113.A.A
46.A.A183.A.A46.A.A4$119.2A271.2A$119.A.A269.A.A$119.A273.A$184.A143.
A$183.2A143.2A$183.A.A4.3A5.3A111.3A5.3A4.A.A$125.2A47.2A14.A2.2A.2A
2.A111.A2.2A.2A2.A14.2A47.2A$124.2A47.2A16.3A3.3A113.3A3.3A16.2A47.2A
$126.A48.A16.A5.A115.A5.A16.A48.A$216.A79.A$206.2A6.A2.A77.A2.A6.2A$
204.A.3A5.5A10.2A51.2A10.5A5.3A.A$130.3A69.3A4.A4.3A.2A9.2A51.2A9.2A.
3A4.A4.3A69.3A$130.A73.A.3A6.2A.A75.A.2A6.3A.A73.A$131.A74.2A8.2A77.
2A8.2A74.A2$216.2A77.2A$137.A48.A28.2A.A75.A.2A28.A48.A$136.2A47.2A
15.2A10.3A.2A9.2A51.2A9.2A.3A10.2A15.2A47.2A$136.A.A46.A.A14.2A10.5A
10.2A51.2A10.5A10.2A14.A.A46.A.A$214.A2.A77.A2.A$216.A79.A2$142.2A
225.2A$142.A.A223.A.A$142.A73.2A5.2A63.2A5.2A73.A$216.2A5.2A63.2A5.2A
3$148.2A47.2A115.2A47.2A$147.2A47.2A117.2A47.2A$149.A48.A115.A48.A4$
153.3A201.3A$153.A205.A$154.A203.A3$160.A48.A93.A48.A$159.2A47.2A93.
2A47.2A$159.A.A46.A.A4.3A5.3A61.3A5.3A4.A.A46.A.A$215.A2.2A.2A2.A61.A
2.2A.2A2.A$216.3A3.3A63.3A3.3A$217.A5.A65.A5.A$165.2A74.A29.A74.2A$
165.A.A63.2A6.A2.A27.A2.A6.2A63.A.A$165.A63.A.3A5.5A10.2A.2A10.5A5.3A
.A63.A$227.3A4.A4.3A.2A9.2A.2A9.2A.3A4.A4.3A$229.A.3A6.2A.A25.A.2A6.
3A.A$231.2A8.2A27.2A8.2A$171.2A167.2A$170.2A69.2A27.2A69.2A$172.A67.
2A.A25.A.2A67.A$227.2A10.3A.2A9.2A.2A9.2A.3A10.2A$227.2A10.5A10.2A.2A
10.5A10.2A$205.2A5.2A25.A2.A27.A2.A25.2A5.2A$176.3A26.2A5.2A27.A29.A
27.2A5.2A26.3A$176.A24.A15.A77.A15.A24.A$177.A22.A.A13.A.A75.A.A13.A.
A22.A$200.2A15.2A75.2A15.2A2$183.A145.A$182.2A145.2A$182.A.A143.A.A2$
207.A3.A89.A3.A$207.A3.A89.A3.A$188.2A133.2A$188.A.A131.A.A$188.A15.
2A.A3.A.2A83.2A.A3.A.2A15.A$205.3A3.3A85.3A3.3A$206.A5.A87.A5.A2$194.
2A121.2A$193.2A123.2A$195.A121.A4$199.3A10.2A85.2A10.3A$199.A12.2A85.
2A12.A$200.A22.2A63.2A22.A$223.A65.A$215.3A2.2A.A65.A.2A2.3A$206.A15.
A67.A15.A$205.2A6.A85.A6.2A$196.2A7.A.A5.A4.A75.A4.A5.A.A7.2A$196.2A
15.A5.2A71.2A5.A15.2A2$215.3A77.3A2$221.2A67.2A$221.2A2.2A59.2A2.2A$
225.2A59.2A2$196.3A3.3A9.3A3.3A67.3A3.3A9.3A3.3A$195.A2.A3.A2.A8.A2.A
.A2.A67.A2.A.A2.A8.A2.A3.A2.A$195.2A.A3.A.2A7.A3.A.A3.A65.A3.A.A3.A7.
2A.A3.A.2A$214.A2.A.A2.A67.A2.A.A2.A$216.A3.A71.A3.A$214.2A5.2A67.2A
5.2A$213.3A5.3A65.3A5.3A$213.3A5.3A65.3A5.3A11$196.2A5.2A5.2A13.2A59.
2A13.2A5.2A5.2A$196.2A5.2A5.2A2.2A5.2A2.2A59.2A2.2A5.2A2.2A5.2A5.2A$
214.2A5.2A67.2A5.2A!

So three gliders is plenty, and two is probably enough, and most likely one glider is actually all you need to breach that perimeter. That's even ignoring the glider sources, which might be the obvious points of attack -- I didn't bother trying to harden the top and bottom against outside radiation, so it wouldn't have been fair to attack there.

I don't really understand what the red diamond area is about, but if I'm supposed to attack there, I will be able to get through with no problem -- it just might take a few more gliders.

[squareroot12621]

…and most likely one glider is actually all you need to breach that perimeter.…

Correct.

Code: Select all

 x = 513, y = 521, rule = LifeHistory
222.2A19.2A23.2A19.2A$222.2A19.2A23.2A19.2A$211.A89.A$211.3A13.A3.2A47.
2A3.A13.3A$214.A6.2A2.2A.A.3A11.2A21.2A11.3A.A.2A2.2A6.A$213.A7.2A2.A
4.3A11.2A21.2A11.3A4.A2.2A7.A$213.A3.A7.A3.A53.A3.A7.A3.A$217.A8.3A55.
3A8.A$188.2A26.A79.A26.2A$187.A.A23.A5.A6.3A55.3A6.A5.A23.A.A$188.A24.
A5.A5.A3.A53.A3.A5.A5.A24.A$213.A5.A5.A4.3A11.2A21.2A11.3A4.A5.A5.A$199.
A25.2A.A.3A11.2A21.2A11.3A.A.2A25.A$185.2A12.2A8.2A4.3A9.A3.2A47.2A3.
A9.3A4.2A8.2A12.2A$185.2A13.2A7.2A91.2A7.2A13.2A$195.2A2.2A42.2A23.2A
42.2A2.2A$243.2A23.2A3$195.2A2.2A15.A79.A15.2A2.2A$185.2A13.2A12.2A81.
2A12.2A13.2A$185.2A12.2A14.2A9.2A57.2A9.2A14.2A12.2A$199.A25.A.A15.2A
23.2A15.A.A25.A$225.A17.2A23.2A17.A$188.A36.3A57.3A36.A$187.A.A19.A93.
A19.A.A$188.2A19.A.A89.A.A19.2A$209.2A91.2A$225.3A57.3A$216.2A7.A17.2A
23.2A17.A7.2A$216.2A7.A.A15.2A23.2A15.A.A7.2A$203.A.A20.2A57.2A20.A.A
$203.2A103.2A$204.A103.A3$198.A115.A$197.A117.A$197.3A113.3A4$193.A125.
A$191.2A127.2A$192.2A125.2A4$186.A139.A$124.A61.A.A135.A.A$125.2A59.2A
137.2A$124.2A3$180.A.A147.A.A$180.2A149.2A$181.A149.A3$175.A161.A$174.
A163.A$174.3A159.3A2$240.A31.A$238.A2.A29.A2.A$170.A55.2A10.5A10.2A3.
2A10.5A10.2A55.A$168.2A56.2A10.3A.2A9.2A3.2A9.2A.3A10.2A56.2A$169.2A68.
2A.A27.A.2A68.2A$240.2A29.2A2$230.2A8.2A29.2A8.2A$163.A64.A.3A6.2A.A27.
A.2A6.3A.A64.A$163.A.A60.3A4.A4.3A.2A9.2A3.2A9.2A.3A4.A4.3A60.A.A$163.
2A63.A.3A5.5A10.2A3.2A10.5A5.3A.A63.2A$230.2A6.A2.A29.A2.A6.2A$240.A31.
A$216.A5.A67.A5.A$157.A.A55.3A3.3A65.3A3.3A55.A.A$157.2A55.A2.2A.2A2.
A63.A2.2A.2A2.A55.2A$158.A48.A.A4.3A5.3A63.3A5.3A4.A.A48.A$207.2A95.2A
$208.A95.A$152.A207.A$151.A209.A$151.3A205.3A4$147.A217.A$145.2A219.2A
$146.2A49.A117.A49.2A$195.2A119.2A$196.2A117.2A2$140.A231.A$140.A.A72.
2A5.2A65.2A5.2A72.A.A$140.2A73.2A5.2A65.2A5.2A73.2A4$134.A.A78.A81.A78.
A.A$134.2A77.A2.A79.A2.A77.2A$135.A48.A.A14.2A10.5A10.2A53.2A10.5A10.
2A14.A.A48.A$184.2A15.2A10.3A.2A9.2A53.2A9.2A.3A10.2A15.2A$185.A28.2A
.A77.A.2A28.A$129.A85.2A79.2A85.A$128.A255.A$128.3A74.2A8.2A79.2A8.2A
74.3A$203.A.3A6.2A.A77.A.2A6.3A.A$201.3A4.A4.3A.2A9.2A53.2A9.2A.3A4.A
4.3A$203.A.3A5.5A10.2A53.2A10.5A5.3A.A$124.A80.2A6.A2.A79.A2.A6.2A80.
A$122.2A91.A81.A91.2A$123.2A49.A16.A5.A117.A5.A16.A49.2A$172.2A16.3A3.
3A115.3A3.3A16.2A$173.2A14.A2.2A.2A2.A113.A2.2A.2A2.A14.2A$182.A.A4.3A
5.3A113.3A5.3A4.A.A$117.A64.2A145.2A64.A$117.A.A63.A145.A63.A.A$117.2A
275.2A4$111.A.A285.A.A$111.2A287.2A$112.A48.A.A185.A.A48.A$161.2A187.
2A$162.A9.A167.A9.A$106.A63.2A169.2A63.A$105.A65.2A167.2A65.A$105.3A297.
3A2$190.2A5.2A115.2A5.2A$190.2A5.2A115.2A5.2A$101.A309.A$99.2A311.2A$
100.2A49.A209.A49.2A$149.2A39.A131.A39.2A$150.2A36.A2.A129.A2.A36.2A$
159.A.A14.2A10.5A10.2A103.2A10.5A10.2A14.A.A$94.A64.2A15.2A10.3A.2A9.
2A103.2A9.2A.3A10.2A15.2A64.A$94.A.A63.A28.2A.A127.A.2A28.A63.A.A$94.
2A94.2A129.2A94.2A2$180.2A8.2A129.2A8.2A$178.A.3A6.2A.A127.A.2A6.3A.A
$88.A.A85.3A4.A4.3A.2A9.2A103.2A9.2A.3A4.A4.3A85.A.A$88.2A88.A.3A5.5A
10.2A103.2A10.5A5.3A.A88.2A$89.A48.A.A39.2A6.A2.A129.A2.A6.2A39.A.A48.
A$138.2A50.A131.A50.2A$139.A9.A16.A5.A167.A5.A16.A9.A$83.A63.2A16.3A3.
3A165.3A3.3A16.2A63.A$82.A65.2A14.A2.2A.2A2.A163.A2.2A.2A2.A14.2A65.A
$82.3A72.A.A4.3A5.3A163.3A5.3A4.A.A72.3A$157.2A195.2A$158.A195.A2$78.
A355.A$76.2A357.2A$77.2A49.A255.A49.2A$126.2A257.2A$127.2A255.2A$136.
A.A235.A.A$71.A64.2A237.2A64.A$71.A.A63.A9.A217.A9.A63.A.A$71.2A72.2A
219.2A72.2A$146.2A217.2A3$65.A.A97.2A5.2A165.2A5.2A97.A.A$65.2A98.2A5.
2A165.2A5.2A98.2A$66.A48.A.A277.A.A48.A$115.2A279.2A$116.A9.A259.A9.A
$60.A63.2A39.A181.A39.2A63.A$59.A65.2A36.A2.A179.A2.A36.2A65.A$59.3A72.
A.A14.2A10.5A10.2A153.2A10.5A10.2A14.A.A72.3A$134.2A15.2A10.3A.2A9.2A
153.2A9.2A.3A10.2A15.2A$135.A28.2A.A177.A.2A28.A$165.2A179.2A$55.A401.
A$53.2A100.2A8.2A179.2A8.2A100.2A$54.2A49.A47.A.3A6.2A.A177.A.2A6.3A.
A47.A49.2A$103.2A46.3A4.A4.3A.2A9.2A153.2A9.2A.3A4.A4.3A46.2A$104.2A47.
A.3A5.5A10.2A153.2A10.5A5.3A.A47.2A$113.A.A39.2A6.A2.A179.A2.A6.2A39.
A.A$48.A64.2A50.A181.A50.2A64.A$48.A.A63.A9.A16.A5.A217.A5.A16.A9.A63.
A.A$48.2A72.2A16.3A3.3A215.3A3.3A16.2A72.2A$123.2A14.A2.2A.2A2.A213.A
2.2A.2A2.A14.2A$132.A.A4.3A5.3A213.3A5.3A4.A.A$132.2A245.2A$42.A.A88.
A245.A88.A.A$42.2A425.2A$43.A48.A.A323.A.A48.A$92.2A325.2A$93.A9.A305.
A9.A$37.A63.2A307.2A63.A$36.A65.2A305.2A65.A$36.3A72.A.A285.A.A72.3A$
111.2A287.2A$112.A9.A267.A9.A$120.2A269.2A$32.A88.2A267.2A88.A$30.2A449.
2A$31.2A49.A347.A49.2A$80.2A58.2A5.2A215.2A5.2A58.2A$81.2A57.2A5.2A215.
2A5.2A57.2A$90.A.A327.A.A$25.A64.2A329.2A64.A$25.A.A63.A9.A309.A9.A63.
A.A$25.2A72.2A39.A231.A39.2A72.2A$100.2A36.A2.A229.A2.A36.2A$109.A.A14.
2A10.5A10.2A203.2A10.5A10.2A14.A.A$109.2A15.2A10.3A.2A9.2A203.2A9.2A.
3A10.2A15.2A$19.A.A88.A28.2A.A227.A.2A28.A88.A.A$19.2A119.2A229.2A119.
2A$20.A48.A.A369.A.A48.A$69.2A59.2A8.2A229.2A8.2A59.2A$70.A9.A47.A.3A
6.2A.A227.A.2A6.3A.A47.A9.A$14.A46.D16.2A46.3A4.A4.3A.2A9.2A203.2A9.2A
.3A4.A4.3A46.2A16.D46.A$13.A46.D.D16.2A47.A.3A5.5A10.2A203.2A10.5A5.3A
.A47.2A16.D.D46.A$13.3A43.D3.D24.A.A39.2A6.A2.A229.A2.A6.2A39.A.A24.D
3.D43.3A$58.D5.D23.2A50.A231.A50.2A23.D5.D$57.D7.D23.A9.A16.A5.A267.A
5.A16.A9.A23.D7.D$56.D9.D30.2A16.3A3.3A265.3A3.3A16.2A30.D9.D$9.A45.D
11.D30.2A14.A2.2A.2A2.A263.A2.2A.2A2.A14.2A30.D11.D45.A$7.2A45.D13.D38.
A.A4.3A5.3A263.3A5.3A4.A.A38.D13.D45.2A$8.2A43.D5.A9.D37.2A295.2A37.D
9.A5.D43.2A$52.D4.2A11.D37.A295.A37.D11.2A4.D$51.D6.2A11.D369.D11.2A6.
D$50.D16.A.A2.D367.D2.A.A16.D$2.A46.D17.2A4.D365.D4.2A17.D46.A$2.A.A43.
D19.A5.D3.A355.A3.D5.A19.D43.A.A$2.2A43.D27.D2A357.2AD27.D43.2A$46.D29.
D2A355.2AD29.D$45.D31.D8.A.A335.A.A8.D31.D$44.D33.D7.2A337.2A7.D33.D$
43.D35.D7.A9.A317.A9.A7.D35.D$42.D37.D14.2A319.2A14.D37.D$41.D4.A.A32.
D14.2A317.2A14.D32.A.A4.D$40.D5.2A10.2D22.D347.D22.2D10.2A5.D$39.D7.A
9.A2D23.D345.D23.2DA9.A7.D$38.D16.2A27.D30.2A5.2A265.2A5.2A30.D27.2A16.
D$39.D16.2A27.D29.2A5.2A265.2A5.2A29.D27.2A16.D$40.D24.A.A18.D339.D18.
A.A24.D$41.D23.2A20.D337.D20.2A23.D$42.D23.A9.A11.D335.D11.A9.A23.D$43.
D30.2A13.D333.D13.2A30.D$44.D30.2A13.D331.D13.2A30.D$45.D38.A.A4.D329.
D4.A.A38.D$36.A9.D37.2A6.D327.D6.2A37.D9.A$34.2A11.D37.A5.D329.D5.A37.
D11.2A$35.2A11.D41.D331.D41.D11.2A$44.A.A2.D39.D333.D39.D2.A.A$44.2A4.
D37.D335.D37.D4.2A$45.A5.D3.A31.D337.D31.A3.D5.A$52.D2A31.D339.D31.2A
D$53.D2A29.D341.D29.2AD$54.D8.A.A18.D343.D18.A.A8.D$55.D7.2A18.D345.D
18.2A7.D$56.D7.A17.D347.D17.A7.D$57.D23.D349.D23.D$58.D6.A14.D351.D14.
A6.D$59.D4.2A13.D353.D13.2A4.D$60.D3.A.A11.D355.D11.A.A3.D$55.2A4.D15.
D357.D15.D4.2A$54.2A6.D13.D359.D13.D6.2A$46.A9.A6.D11.D361.D11.D6.A9.
A$45.2A17.D9.D363.D9.D17.2A$45.A.A17.D7.D365.D7.D17.A.A$36.2A28.D5.D367.
D5.D28.2A$35.2A30.D3.D14.A339.A14.D3.D30.2A$37.A30.D.D14.2A339.2A14.D
.D30.A$69.D15.A.A337.A.A15.D$76.2A357.2A$75.2A359.2A$67.A9.A357.A9.A$
66.2A377.2A$66.A.A375.A.A$57.2A57.2A5.2A263.2A5.2A57.2A$56.2A58.2A5.2A
263.2A5.2A58.2A$48.A9.A395.A9.A$47.2A415.2A$A46.A.A47.2A315.2A47.A.A46.
A$96.2A317.2A$88.A9.A315.A9.A$87.2A335.2A$4.2A81.A.A333.A.A81.2A$4.A.
A71.2A353.2A71.A.A$4.A72.2A355.2A72.A$69.A9.A353.A9.A$68.2A373.2A$68.
A.A371.A.A$10.2A47.2A391.2A47.2A$9.2A47.2A49.A293.A49.2A47.2A$11.A48.
A47.2A293.2A47.A48.A$108.A.A4.3A5.3A261.3A5.3A4.A.A$99.2A14.A2.2A.2A2.
A261.A2.2A.2A2.A14.2A$98.2A16.3A3.3A263.3A3.3A16.2A$15.3A72.A9.A16.A5.
A265.A5.A16.A9.A72.3A$15.A73.2A50.A229.A50.2A73.A$16.A72.A.A39.2A6.A2.
A227.A2.A6.2A39.A.A72.A$80.2A47.A.3A5.5A10.2A201.2A10.5A5.3A.A47.2A$79.
2A46.3A4.A4.3A.2A9.2A201.2A9.2A.3A4.A4.3A46.2A$22.A48.A9.A47.A.3A6.2A
.A225.A.2A6.3A.A47.A9.A48.A$21.2A47.2A59.2A8.2A227.2A8.2A59.2A47.2A$21.
A.A46.A.A367.A.A46.A.A$141.2A227.2A$111.A28.2A.A225.A.2A28.A$110.2A15.
2A10.3A.2A9.2A201.2A9.2A.3A10.2A15.2A$27.2A81.A.A14.2A10.5A10.2A201.2A
10.5A10.2A14.A.A81.2A$27.A.A71.2A36.A2.A227.A2.A36.2A71.A.A$27.A72.2A
39.A229.A39.2A72.A$92.A9.A307.A9.A$91.2A327.2A$91.A.A325.A.A$33.2A47.
2A57.2A5.2A213.2A5.2A57.2A47.2A$32.2A47.2A58.2A5.2A213.2A5.2A58.2A47.
2A$34.A48.A345.A48.A2$122.2A265.2A$121.2A267.2A$38.3A72.A9.A265.A9.A72.
3A$38.A73.2A285.2A73.A$39.A72.A.A283.A.A72.A$103.2A303.2A$102.2A305.2A
$45.A48.A9.A303.A9.A48.A$44.2A47.2A323.2A47.2A$44.A.A46.A.A321.A.A46.
A.A2$134.A243.A$133.2A243.2A$50.2A81.A.A4.3A5.3A211.3A5.3A4.A.A81.2A$
50.A.A71.2A14.A2.2A.2A2.A211.A2.2A.2A2.A14.2A71.A.A$50.A72.2A16.3A3.3A
213.3A3.3A16.2A72.A$115.A9.A16.A5.A215.A5.A16.A9.A$114.2A50.A179.A50.
2A$114.A.A39.2A6.A2.A177.A2.A6.2A39.A.A$56.2A47.2A47.A.3A5.5A10.2A151.
2A10.5A5.3A.A47.2A47.2A$55.2A47.2A46.3A4.A4.3A.2A9.2A151.2A9.2A.3A4.A
4.3A46.2A47.2A$57.A48.A47.A.3A6.2A.A175.A.2A6.3A.A47.A48.A$156.2A8.2A
177.2A8.2A2$166.2A177.2A$61.3A72.A28.2A.A175.A.2A28.A72.3A$61.A73.2A15.
2A10.3A.2A9.2A151.2A9.2A.3A10.2A15.2A73.A$62.A72.A.A14.2A10.5A10.2A151.
2A10.5A10.2A14.A.A72.A$126.2A36.A2.A177.A2.A36.2A$125.2A39.A179.A39.2A
$68.A48.A9.A257.A9.A48.A$67.2A47.2A277.2A47.2A$67.A.A46.A.A275.A.A46.
A.A$166.2A5.2A163.2A5.2A$166.2A5.2A163.2A5.2A2$73.2A363.2A$73.A.A71.2A
215.2A71.A.A$73.A72.2A217.2A72.A$138.A9.A215.A9.A$137.2A235.2A$137.A.
A233.A.A$79.2A47.2A253.2A47.2A$78.2A47.2A255.2A47.2A$80.A48.A253.A48.
A4$84.3A72.A193.A72.3A$84.A73.2A193.2A73.A$85.A72.A.A4.3A5.3A161.3A5.
3A4.A.A72.A$149.2A14.A2.2A.2A2.A161.A2.2A.2A2.A14.2A$148.2A16.3A3.3A163.
3A3.3A16.2A$91.A48.A9.A16.A5.A165.A5.A16.A9.A48.A$90.2A47.2A50.A129.A
50.2A47.2A$90.A.A46.A.A39.2A6.A2.A127.A2.A6.2A39.A.A46.A.A$179.A.3A5.
5A10.2A101.2A10.5A5.3A.A$177.3A4.A4.3A.2A9.2A101.2A9.2A.3A4.A4.3A$179.
A.3A6.2A.A125.A.2A6.3A.A$96.2A83.2A8.2A127.2A8.2A83.2A$96.A.A315.A.A$
96.A94.2A127.2A94.A$161.A28.2A.A125.A.2A28.A$160.2A15.2A10.3A.2A9.2A101.
2A9.2A.3A10.2A15.2A$160.A.A14.2A10.5A10.2A101.2A10.5A10.2A14.A.A$102.
2A47.2A36.A2.A127.A2.A36.2A47.2A$101.2A47.2A39.A129.A39.2A47.2A$103.A
48.A207.A48.A3$191.2A5.2A113.2A5.2A$107.3A81.2A5.2A113.2A5.2A81.3A$107.
A297.A$108.A295.A$172.2A165.2A$171.2A167.2A$114.A48.A9.A165.A9.A48.A$
113.2A47.2A185.2A47.2A$113.A.A46.A.A183.A.A46.A.A4$119.2A271.2A$119.A
.A269.A.A$119.A273.A$184.A143.A$183.2A143.2A$183.A.A4.3A5.3A111.3A5.3A
4.A.A$125.2A47.2A14.A2.2A.2A2.A111.A2.2A.2A2.A14.2A47.2A$124.2A47.2A16.
3A3.3A113.3A3.3A16.2A47.2A$126.A48.A16.A5.A115.A5.A16.A48.A$216.A79.A
$206.2A6.A2.A77.A2.A6.2A$204.A.3A5.5A10.2A51.2A10.5A5.3A.A$130.3A69.3A
4.A4.3A.2A9.2A51.2A9.2A.3A4.A4.3A69.3A$130.A73.A.3A6.2A.A75.A.2A6.3A.
A73.A$131.A74.2A8.2A77.2A8.2A74.A2$216.2A77.2A$137.A48.A28.2A.A75.A.2A
28.A48.A$136.2A47.2A15.2A10.3A.2A9.2A51.2A9.2A.3A10.2A15.2A47.2A$136.
A.A46.A.A14.2A10.5A10.2A51.2A10.5A10.2A14.A.A46.A.A$214.A2.A77.A2.A$216.
A79.A2$142.2A225.2A$142.A.A223.A.A$142.A73.2A5.2A63.2A5.2A73.A$216.2A
5.2A63.2A5.2A3$148.2A47.2A115.2A47.2A$147.2A47.2A117.2A47.2A$149.A48.
A115.A48.A4$153.3A201.3A$153.A205.A$154.A203.A3$160.A48.A93.A48.A$159.
2A47.2A93.2A47.2A$159.A.A46.A.A4.3A5.3A61.3A5.3A4.A.A46.A.A$215.A2.2A
.2A2.A61.A2.2A.2A2.A$216.3A3.3A63.3A3.3A$217.A5.A65.A5.A$165.2A74.A29.
A74.2A$165.A.A63.2A6.A2.A27.A2.A6.2A63.A.A$165.A63.A.3A5.5A10.2A.2A10.
5A5.3A.A63.A$227.3A4.A4.3A.2A9.2A.2A9.2A.3A4.A4.3A$229.A.3A6.2A.A25.A
.2A6.3A.A$231.2A8.2A27.2A8.2A$171.2A167.2A$170.2A69.2A27.2A69.2A$172.
A67.2A.A25.A.2A67.A$227.2A10.3A.2A9.2A.2A9.2A.3A10.2A$227.2A10.5A10.2A
.2A10.5A10.2A$205.2A5.2A25.A2.A27.A2.A25.2A5.2A$176.3A26.2A5.2A27.A29.
A27.2A5.2A26.3A$176.A24.A15.A77.A15.A24.A$177.A22.A.A13.A.A75.A.A13.A
.A22.A$200.2A15.2A75.2A15.2A2$183.A145.A$182.2A145.2A$182.A.A143.A.A2$
207.A3.A89.A3.A$207.A3.A89.A3.A$188.2A133.2A$188.A.A131.A.A$188.A15.2A
.A3.A.2A83.2A.A3.A.2A15.A$205.3A3.3A85.3A3.3A$206.A5.A87.A5.A2$194.2A
121.2A$193.2A123.2A$195.A121.A4$199.3A10.2A85.2A10.3A$199.A12.2A85.2A
12.A$200.A22.2A63.2A22.A$223.A65.A$215.3A2.2A.A65.A.2A2.3A$206.A15.A67.
A15.A$205.2A6.A85.A6.2A$196.2A7.A.A5.A4.A75.A4.A5.A.A7.2A$196.2A15.A5.
2A71.2A5.A15.2A2$215.3A77.3A2$221.2A67.2A$221.2A2.2A59.2A2.2A$225.2A59.
2A2$196.3A3.3A9.3A3.3A67.3A3.3A9.3A3.3A$195.A2.A3.A2.A8.A2.A.A2.A67.A
2.A.A2.A8.A2.A3.A2.A$195.2A.A3.A.2A7.A3.A.A3.A65.A3.A.A3.A7.2A.A3.A.2A
$214.A2.A.A2.A67.A2.A.A2.A$216.A3.A71.A3.A$214.2A5.2A67.2A5.2A$213.3A
5.3A65.3A5.3A$213.3A5.3A65.3A5.3A11$196.2A5.2A5.2A13.2A59.2A13.2A5.2A
5.2A$196.2A5.2A5.2A2.2A5.2A2.2A59.2A2.2A5.2A2.2A5.2A5.2A$214.2A5.2A67.
2A5.2A!

(The last twin bees shuttle is destroyed at generation 14,415.)