Thread For Your Useless Discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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calcyman
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Re: Thread For Your Useless Discoveries

Post by calcyman » June 10th, 2017, 7:51 am

gmc_nxtman wrote:HF->H+Junk that totally has an input and output:
That eater2 successfully reacts 5 times before being inevitably consumed.
What do you do with ill crystallographers? Take them to the mono-clinic!

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Re: Thread For Your Useless Discoveries

Post by praosylen » June 10th, 2017, 10:28 am

gmc_nxtman wrote:HF->H+Junk that totally has an input and output:

Code: Select all

x = 18, y = 32, rule = B3/S23
14b2o$14bo$12bobo$8b2o2b2o$8b2o$2o$bo$bobo$2b2o2b2o5b2o$6b2o5b2o8$8bo$
7bobo$6bo3bo$6bo3bo$6bo3bo5b2o$7bobo2b2obobo$8bo3b2obo$16bo$12b2ob2o$
13bobo$2bo10bobo$bobo2b2o6bo$b2o3bobo$8bo$8b2o!
The block doesn't even end up in the right place. Sad.
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Re: Thread For Your Useless Discoveries

Post by drc » June 10th, 2017, 12:05 pm

The junk is really a dove in disguise

Code: Select all

#C [[ AUTOSTART STOP 90 ]]
x = 18, y = 32, rule = B3/S23
14b2o$14bo$12bobo$8b2o2b2o$8b2o$2o$bo$bobo$2b2o2b2o5b2o$6b2o5b2o8$8bo$
7bobo$6bo3bo$6bo3bo$6bo3bo5b2o$7bobo2b2obobo$8bo3b2obo$16bo$12b2ob2o$
13bobo$2bo10bobo$bobo2b2o6bo$b2o3bobo$8bo$8b2o!

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Re: Thread For Your Useless Discoveries

Post by praosylen » June 11th, 2017, 3:08 pm

Just for fun:

Code: Select all

x = 19, y = 22, rule = B3/S23
8bo$9bo6b2o$7b3ob2obo2bo$12bob3o$12bo$3b2o6b2ob3o$3bo6bo2bo2bo$5bo3bob
o2b2o$b4obobo2b3o$o5bobobo4b3o$b3obo2bob4obo2bo$3bobobobo3bobobo$3bobo
bo2bo2bo2bo$4bobobob4o$5bo2b2o$6b2o3b3o$3b3o2b3o2bo$2bo2bobo2bo$2b2obo
b2o$3bobo$bobobob2o$b2o3bobo!
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Re: Thread For Your Useless Discoveries

Post by Saka » June 11th, 2017, 8:10 pm

A for awesome wrote:Just for fun:

Code: Select all

x = 19, y = 22, rule = B3/S23
8bo$9bo6b2o$7b3ob2obo2bo$12bob3o$12bo$3b2o6b2ob3o$3bo6bo2bo2bo$5bo3bob
o2b2o$b4obobo2b3o$o5bobobo4b3o$b3obo2bob4obo2bo$3bobobobo3bobobo$3bobo
bo2bo2bo2bo$4bobobob4o$5bo2b2o$6b2o3b3o$3b3o2b3o2bo$2bo2bobo2bo$2b2obo
b2o$3bobo$bobobob2o$b2o3bobo!
I love this kind of pattern sooo much. How does one find these?

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Re: Thread For Your Useless Discoveries

Post by praosylen » June 11th, 2017, 10:15 pm

Saka wrote:
A for awesome wrote:Just for fun:

Code: Select all

x = 19, y = 22, rule = B3/S23
8bo$9bo6b2o$7b3ob2obo2bo$12bob3o$12bo$3b2o6b2ob3o$3bo6bo2bo2bo$5bo3bob
o2b2o$b4obobo2b3o$o5bobobo4b3o$b3obo2bob4obo2bo$3bobobobo3bobobo$3bobo
bo2bo2bo2bo$4bobobob4o$5bo2b2o$6b2o3b3o$3b3o2b3o2bo$2bo2bobo2bo$2b2obo
b2o$3bobo$bobobob2o$b2o3bobo!
I love this kind of pattern sooo much. How does one find these?
In that case, just by hand. There may be a way to do things like that with dr, but I don't know.
EDIT: Two random pointless R catalysts:

Code: Select all

x = 36, y = 15, rule = B3/S23
9bo17bo$9b2o16b2o$8b2o16b2o3$3b2o3b2ob2o9bo3b2ob2o$2bo2bo3bobo9bobo3bo
bo$o2b2o4bobobo8bo4bobobo$2obo4b2ob2obo11b2ob2obo$3bo2bo2bo4bo9bo2bo4b
o$3bobob2o2b3o10b2obo4bob2o$4bobo2b2o14bobob2obob2o$5bo2bo2bo13bobo2bo
bo$9b2o15bo2bo2bo$30b2o!
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Re: Thread For Your Useless Discoveries

Post by gmc_nxtman » June 13th, 2017, 1:20 am

Weird version of H-to-G#1 with a transparent beehive equivalent to the eater or block in the traditional version of it:

Code: Select all

x = 25, y = 26, rule = LifeHistory
2A$.A$.A.A$2.2A4$23.2A$23.2A2$2.A$2.A.A$2.3A$4.A9$4.2A5.A$4.A.A3.A.A$
5.A4.A.A$11.A!

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Re: Thread For Your Useless Discoveries

Post by BlinkerSpawn » June 13th, 2017, 9:08 am

Pointless reduction of the second pointless catalyst:

Code: Select all

x = 13, y = 14, rule = B3/S23
6bo$6b2o$5b2o3$bo3b2ob2o$obo3bobo$bo4bobobo$5b2ob2obo$3bo2bo4bo$3b2obo
4b2o$4bobob2obo$4bobobo2bo$5bo3b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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muzik
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Re: Thread For Your Useless Discoveries

Post by muzik » June 13th, 2017, 12:14 pm

Interesting behaviour in glider streams:

Code: Select all

x = 5296, y = 1202, rule = B3/S23
5281b4o$5280bo3bo$5284bo$5283bo3$5281bo$5282bo$5282bo$5281b2o$5280bo4$
5281b4o$5280bo3bo$5284bo$5283bo29$5292b4o$5291bo3bo$5295bo$5291bo2bo$
5271b2ob2o$5271bob5o4bo$5251b2o20b2o2bo3b2o8b2o$5250bo2bo15bo5b3o2bo9b
o2bo$5251b2o6bo8bo6bo5b5o4bo2bo$5258b3o7bo5bo7b4o3b2ob2o$5257b5o11bo
11bo4b2o$5256bobo12bo$5255b2o2bo6bo$5256bo3bo9bo$5256b3ob2o4b4o22b4o$
5256bob4o5bo23bo3bo$5256bob3o34bo$5256bobo32bo2bo$5256bo2bo$5256bo2bo$
5257b2o828$287b4o$286bo3bo$290bo$289bo3$287bo$288bo$288bo$287b2o$286bo
4$287b4o$286bo3bo$290bo$289bo29$298b4o$297bo3bo$301bo$297bo2bo$277b2ob
2o$277bob5o4bo$257b2o20b2o2bo3b2o8b2o$256bo2bo15bo5b3o2bo9bo2bo$257b2o
6bo8bo6bo5b5o4bo2bo$264b3o7bo5bo7b4o3b2ob2o$263b5o11bo11bo4b2o$262bobo
12bo$261b2o2bo6bo$262bo3bo9bo$262b3ob2o4b4o22b4o$262bob4o5bo23bo3bo$
262bob3o34bo$262bobo32bo2bo$262bo2bo$262bo2bo$263b2o196$53bo$52bobo$
52bobo$53bo2$58bo$57b9o$56bo3bo5bo$55b3o2b4o2bo$54b3obo2b2ob2o$55b2o2b
4o$56bo3b2o5$58bobo$60b2o$54b2o4bo$53bo6bo$59bo$50b2o5bo$50bo$51b2o3bo
$50b3o2bo$50b2ob2o$51bobo$51b3o3$bo8bo4bo37bo$o5bo2bo4bo37bobo$o6b3o4b
o36b2ob2o$o2bo10bo2bo36b2o$3o11b3o37b2o$54b3o4$55bo$53b4o$47bobo2bo3bo
4bobo$46bo5bo2bo4bo$46bo6b3o4bo$46bo2bo10bo2bo$46b3o11b3o!

Code: Select all

x = 7075, y = 1073, rule = B3/S23
7073bo$7074bo$7070bo3bo$7071b4o4$7070bo$7071b2o$7072bo$7072bo$7071bo3$
7073bo$7074bo$7070bo3bo$7071b4o7$7070bo$7071bo$7067bo3bo$7068b4o4$
7067bo$7068b2o$7069bo$7069bo$7068bo3$7070bo$7071bo$7067bo3bo$7068b4o
981$175bo$176bo$172bo3bo$173b4o4$172bo$173b2o$174bo$174bo$173bo3$175bo
$176bo$172bo3bo$173b4o7$172bo$173bo$169bo3bo$170b4o4$169bo$170b2o$171b
o$171bo$170bo3$172bo$173bo$169bo3bo$170b4o2$26bo4bo8bo$27bo4bo2bo5bo$
27bo4b3o6bo$2bo4bo8bo7bo2bo10bo2bo$3bo4bo2bo5bo7b3o11b3o$3bo4b3o6bo$o
2bo10bo2bo$b3o11b3o!

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muzik
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Re: Thread For Your Useless Discoveries

Post by muzik » June 14th, 2017, 1:20 pm

Pseudo-heisenburp:

Code: Select all

x = 68, y = 75, rule = B3/S23
64bo$63bo$63bo3bo$63b4o7$33bo$32bobo$31b2ob2o$31b2ob2o$30b3o$30b3o3bo
12b2o$30b3o4bo11b2o$31b2o5bo$31b3o$32b2o$33b2o$48b2o2$33bo14b3o6b2o$
32b3o13bobo6b2o$31bo3bo$35b2o13bo$34b2o13b2o3$44b2obo$44bo3bo$42bo4bo$
26bo15bo4bo$24b2ob2o15b2o$45bo$27b2o20b2o$28bo19bobo$22bo3bo23bo$26bo
3bo$3bo$2bobo$b2ob2o18bo$b2ob2o19b3o$3o$3o3bo12b2o$3o4bo11b2o4bo$b2o5b
o14bo2bo$b3o18bo3bo$2b2o$3b2o20b2o$18b2o2b4o2$3bo14b3o$2b3o13bobo$bo3b
o$5b2o13bo$4b2o13b2o$19b2o2$18b2o$18b3o$16b3o$16bo2$7b2o6b3o$7b2o6bo$
15b3o6$15b2o$15b2o!

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Scorbie
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Re: Thread For Your Useless Discoveries

Post by Scorbie » June 14th, 2017, 4:07 pm

Another long shot... probably not feasible:

Code: Select all

x = 32, y = 29, rule = LifeHistory
2.E$E.E$.2E3$18.A$16.3A$15.A$15.2A$2A$.A$.A.2A$2.A2.A23.D$3.2A24.D.D$
18.2A9.3D$18.2A11.D7$21.2A$20.A.A$20.A$18.3A$17.A$10.2A5.2A$10.2A!
Wait a minute... There's a slight chance that there is a drifter recovering this, using the output glider...

Code: Select all

x = 32, y = 29, rule = LifeHistory
2.E$E.E$.2E3$18.A$16.3A$15.A$15.2A$2A$.A$.A.2A$2.A2.A23.D$3.2A24.D.D$
18.2A9.3D$18.2A11.D7$21.2A.A$20.A.A.3A$20.A.A4.A$18.3A.5A$17.A3.A$10.
2A5.2A2.A.2A$10.2A10.A.A!

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gmc_nxtman
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Re: Thread For Your Useless Discoveries

Post by gmc_nxtman » June 16th, 2017, 12:44 pm

P-to-H that sadly doesn't fit with anything:

Code: Select all

x = 42, y = 24, rule = LifeHistory
26.A$26.3A$29.A$28.2A$28.4B$30.3B$20.4B5.5B$19.6B3.6B$18.7B2.7B$18.7B
.8B$17.19B$5.2B2.2B3.23B$3.D32B$.DBD32B$B3D9B2A13B3C5B$.D11B2A13BC.C
4B$3.25BC.C6B$8.B.3B.2B2.11B.5B2A.A$18.10B3.B2.B2AB3A$18.8B10.B4.A$
20.4B11.2A.3A$36.A.A$36.A.A$37.A!

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Re: Thread For Your Useless Discoveries

Post by dvgrn » June 16th, 2017, 2:03 pm

gmc_nxtman wrote:P-to-H that sadly doesn't fit with anything...
Don't give up on it too soon! It may be true that it doesn't fit with anything useful, but it certainly can be made to fit something:

Code: Select all

x = 92, y = 166, rule = LifeHistory
58.2A$57.A.A$51.2A4.A$49.A2.A2.2A.4A$49.2A.A.A.A.A2.A$52.A.ABABA2B$
52.A.AB2AB.B$53.AB.2B$56.3B$56.4B6.2A$54.3B2AB6.A$35.A18.3B2AB3.BA.A$
35.3A14.10B.B2A$6.2B30.A12.13B$4.5B28.2A11.14B$3.7B27.4B8.15B$3.8B28.
3B6.4B2.8B$2.9B18.4B5.5B4.4B5.6B$.10B17.6B3.6B3.4B4.9B$.A8B17.7B2.7B
2.4B5.2A4.4B$ABA8B16.7B.8B.4B7.A5.4B$ABA10B13.21B5.3A7.4B$BA14B2.2B3.
23B6.A10.4B$.11BD32B19.4B$.9BDBD32B20.4B$3.7B3D9B2A21B21.4B$3.7BD11B
2A20B23.4B$4.B2.39B22.4B.B$14.4B.3B.2B2.17B2A.A21.7B$15.3B9.15B.B2AB
3A20.6B7.2A$16.4B7.11B2C2B3.B4.A19.2B3C2B6.A$18.2A9.9B2C2B2.2A.3A20.
2BC4B3.BA.A$18.A14.9B3.A.A22.B3C4B2.B2A$19.3A11.10B2.A.A22.11B$21.A
11.B3D5BA3.A23.11B$33.2BD5BA.A26.11B$33.2B3D2B2.A28.11B$33.6B32.2B.7B
$33.6B31.11B$33.6B31.10B$33.5B30.12B$32.6B28.13B$33.6B26.17B$32.7B26.
18B$32.6B25.2AB.13B2A2B$32.6B24.A.AB3.4B.6B2AB$32.6B24.A8.B4.8B4.2A$
31.8B22.2A15.6B4.A$32.8B37.7B.BA.A$31.9B37.6B.2B2A$31.9B38.8B$31.10B
37.8B$31.5B2A3B36.8B$31.5B2A4B3.2A21.A8.7B$31.11B3.A22.3A6.6B$31.12BA
.A25.A4.7B$33.8B2.2A4.2A19.2A4.7B$27.2A4.7B9.A15.A4.4B.8B$28.A4.6B7.B
A.A15.3A4.11B$28.A.AB.6B3.3B.B2A19.A2.12B$29.2AB.14B20.2A2.12B$31.16B
20.B3.11B$32.14B19.3B4.7B$31.16B16.6B3.8B$31.18B11.10B2.9B$32.20B2.2B
3.23B$33.31B2A16B.B$34.7B.22B2A17B2A$34.6B2.41B2A$33.6B3.42B$33.4B6.
36B2.5B$33.2B2AB12.4B.13B5.5B6.2A$31.2AB.2A14.3B5.B.7B3.3B.2B7.A$30.A
.AB18.4B15.2A12.3A$30.A23.2A16.A14.A$29.2A23.A14.3A$55.3A11.A$57.A14$
55.2A$54.A.A$48.2A4.A$46.A2.A2.2A.4A$46.2A.A.A.A.A2.A$49.A.ABABAB$49.
A.AB2AB$36.A13.AB.2B$36.3A14.3B$7.2B30.A13.4B6.2A$5.5B28.2A11.3B2AB6.
A$4.7B27.4B9.3B2AB3.BA.A$4.8B28.3B6.10B.B2A$3.9B18.4B5.5B4.13B$2.10B
17.6B3.6B3.14B$2.A8B17.7B2.7B2.15B$.ABA8B16.7B.8B.4B2.8B$.ABA10B13.
21B5.6B$.BA14B2.2B3.23B4.9B$2.11BD32B5.2A4.4B$2.9BDBD32B6.A5.4B$4.7B
3D9B2A21B3.3A7.4B$4.7BD11B2A20B4.A10.4B$5.B2.39B14.4B$15.4B.3B.2B2.
17B2A.A13.4B$16.3B9.15B.B2AB3A12.4B$17.4B7.8B.2B2D2B3.B4.A12.4B$19.2A
9.4B4.B2D2B2.2A.3A14.4B$19.A16.7B3.A.A17.4B$20.3A11.10B2.A.A18.4B$22.
A11.9B4.A20.4B$34.9B26.4B$33.10B.B25.4B$33.11B2A25.4B$33.11B2A26.4B$
31.2AB.10B28.4B10.2A$30.A.AB2.9B29.4B9.A$30.A6.6B32.4B10.A$29.2A5.7B
26.2A5.4B5.5A$25.A10.8B26.A5.4B4.A$25.3A8.9B25.A.AB.7B2.B3A$28.A7.9B
26.2AB.7B3.2B.A$27.2A6.10B28.12B4A$27.5B2.13B26.7B2A3BAB2.2A$29.18B.
2B23.7B2A2B.B3A2.A$28.2A19B2A22.10B3.B.A.2A$28.2A17B.B2A21.8B8.A$29.B
.17B.B21.9B7.2A$31.16B23.4B2.3B$32.14B23.4B3.5B$33.8B2.4B21.4B7.2A$
34.7B3.4B19.4B8.A$31.11B3.4B10.A6.4B10.3A$30.12B4.4B7.3A5.4B13.A$30.
12B5.4B5.A7.4B$30.11B7.4B4.2A5.4B$30.B3C4B.4B6.9B4.4B$30.2BC4B4.2A7.
6B5.4B$30.2B3C2B4.A8.8B2.4B$30.6B6.3A3.15B$29.7B8.A3.14B$28.8B12.13B$
27.8B11.2AB.10B$27.8B10.A.AB3.B2A3B$25.2A2B.6B9.A6.B2A3B$24.A.AB.7B8.
2A6.4B$24.A28.3B$23.2A29.2B.BA$53.B2ABA.A$52.BABABA.A$50.A2.A.A.A.A.
2A$50.4A.2A2.A2.A$54.A4.2A$52.A.A$52.2A!
Actually this seems like a very nice simple adjustable stop-and-restart Herschel circuit -- lots of open space. The top example above has an open lane for the "restart" glider, so this thing could be used as a memory cell of sorts.

Offhand I don't see how to make it a safe toggle reaction, though (sigh). Are there any still lifes with known toggle-able factories, that could stand in for the block?

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BlinkerSpawn
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Re: Thread For Your Useless Discoveries

Post by BlinkerSpawn » June 16th, 2017, 3:15 pm

I made this but it can't even connect to itself. :?

Code: Select all

x = 68, y = 53, rule = LifeHistory
45.2A$44.A.A$38.2A4.A$36.A2.A2.2A.4A$36.2A.A.A.A.A2.A$39.A.ABABA2B$
39.A.AB2AB.B$40.AB.2B$43.3B$43.4B6.2A$41.3B2AB6.A$25.A15.3B2AB3.BA.A$
25.3A11.10B.B2A$28.A9.13B$27.2A8.14B$27.4B5.15B$29.3B3.4B2.8B$19.4B5.
5B.4B5.6B$18.6B3.10B4.9B$17.7B2.10B5.2A4.4B$17.7B.10B7.A5.4B10.A$16.
19B4.3A7.4B7.3A$4.2B2.2B3.23B3.A10.4B5.A$2.D32B16.4B4.2A$DBD24B3D5B
17.9B$3D9B2A12BD3BD4B16.8B$D11B2A12B2DB2D3B11.2A3.11B$2.34B10.A4.11B$
7.B.3B.2B2.11B.5B2A.A2.A5.A.AB.11B$17.10B3DB2.B2AB4A6.2AB.12B$17.8B2.
4B4.B13.14B$19.4B3.5B3.2A.4A8.15B$26.6B3.A.A2.A8.15B$16.6B2.8B3.A.A2.
A.AB6.14B$16.2BC14B3.A4.2AB.3B3.14B$16.3C13B11.22B$16.CBC4B.7B12.21B$
16.C15B12.20B2A$16.16B11.21BA.A$16.17B8.20B5.A$18.15B.2B2.20B.B6.2A$
19.22BD15B$19.8B.13BDBD4B.7B$17.8B3.2B2A9B3D4B2.6B$17.2A3.B5.2B2A11BD
4B3.6B$18.A10.18B6.4B$15.3A12.B.3B.4B12.B2A2B$15.A20.3B14.2A.B2A$34.
4B18.BA.A$34.2A23.A$35.A23.2A$32.3A$32.A!
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muzik
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Re: Thread For Your Useless Discoveries

Post by muzik » June 16th, 2017, 3:22 pm

This is a family of patterns that self-invert in one generation within their own bounding box. Are there any other examples of such patterns that do not follow this family and are not one of the four small ones listed at the bottom?

Code: Select all

x = 61, y = 61, rule = B3/S23
o2bo2bo3bo2bo4bo2bo5bo2bo6bo2bo7bo2bo8bo$b2o4b3o4b4o4b5o4b6o4b7o4b8o$b
2o4b3o4b4o4b5o4b6o4b7o4b8o$o2bo2bo3bo2bo4bo2bo5bo2bo6bo2bo7bo2bo8bo3$
6bo3bo2bo4bo2bo5bo2bo6bo2bo7bo2bo8bo$7b3o4b4o4b5o4b6o4b7o4b8o$7b3o4b4o
4b5o4b6o4b7o4b8o$7b3o4b4o4b5o4b6o4b7o4b8o$6bo3bo2bo4bo2bo5bo2bo6bo2bo
7bo2bo8bo3$13bo4bo2bo5bo2bo6bo2bo7bo2bo8bo$14b4o4b5o4b6o4b7o4b8o$14b4o
4b5o4b6o4b7o4b8o$14b4o4b5o4b6o4b7o4b8o$14b4o4b5o4b6o4b7o4b8o$13bo4bo2b
o5bo2bo6bo2bo7bo2bo8bo3$21bo5bo2bo6bo2bo7bo2bo8bo$22b5o4b6o4b7o4b8o$
22b5o4b6o4b7o4b8o$22b5o4b6o4b7o4b8o$22b5o4b6o4b7o4b8o$22b5o4b6o4b7o4b
8o$21bo5bo2bo6bo2bo7bo2bo8bo3$30bo6bo2bo7bo2bo8bo$31b6o4b7o4b8o$31b6o
4b7o4b8o$31b6o4b7o4b8o$31b6o4b7o4b8o$31b6o4b7o4b8o$31b6o4b7o4b8o$30bo
6bo2bo7bo2bo8bo3$40bo7bo2bo8bo$41b7o4b8o$41b7o4b8o$41b7o4b8o$41b7o4b8o
$41b7o4b8o$41b7o4b8o$41b7o4b8o$40bo7bo2bo8bo3$51bo8bo$43bobo6b8o$40bo
3bo7b8o$43bobo6b8o$52b8o$52b8o$37b2o3b2obo6b8o$36b4o5bo6b8o$36b4o2bo9b
8o$37b2o3bob2o5bo8bo!
Last edited by muzik on June 16th, 2017, 3:31 pm, edited 1 time in total.

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BlinkerSpawn
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Re: Thread For Your Useless Discoveries

Post by BlinkerSpawn » June 16th, 2017, 3:29 pm

There's this; I am quite certain there are no others.

Code: Select all

x = 4, y = 4, rule = 23/3
b2o$4o$4o$b2o!
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muzik
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Re: Thread For Your Useless Discoveries

Post by muzik » June 16th, 2017, 3:30 pm

Ah, forgot about that one. Funnily enough, that was the one that inspired me to make that post in the first place...



Something that looks weirdish:

Code: Select all

x = 27, y = 52, rule = B3/S23
2b3o2$o5bo$o5bo$o5bo2$2b3o2$6b3o2$4bo5bo$4bo5bo$4bo5bo2$6b3o2$10b3o2$
8bo5bo$8bo5bo$8bo5bo2$10b3o2$14b3o2$12bo5bo$12bo5bo$12bo5bo2$14b3o2$
18b3o2$16bo5bo$16bo5bo$16bo5bo2$18b3o2$22b3o2$20bo5bo$20bo5bo$20bo5bo
2$22b3o5$22b5o!

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Re: Thread For Your Useless Discoveries

Post by praosylen » June 16th, 2017, 3:43 pm

muzik wrote:This is a family of patterns that self-invert in one generation within their own bounding box. Are there any other examples of such patterns that do not follow this family and are not one of the four small ones listed at the bottom?

Code: Select all

rle
The only other one I can find is the domino. By the way, these patterns must all be still lives in bounded B01245678/S0145678 with an always-off boundary.
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Re: Thread For Your Useless Discoveries

Post by dvgrn » June 16th, 2017, 3:52 pm

BlinkerSpawn wrote:I made this but it can't even connect to itself...
Never say "can't" on the Useless Discoveries thread. It just needs a little extra support --

Code: Select all

x = 261, y = 185, rule = LifeHistory
55.2A$54.A.A$48.2A4.A$46.A2.A2.2A.4A75.2A$46.2A.A.A.A.A2.A74.A.A$49.A
.ABABAB70.2A4.A$49.A.AB2AB69.A2.A2.2A.4A$50.AB.2B70.2A.A.A.A.A2.A$53.
3B72.A.ABABAB$53.3AB6.2A63.A.AB2AB$51.BA3BA6.A65.AB.2B$51.BA3BA3.BA.A
60.A7.3B$49.B2A5B2A.B2A59.3A7.4B6.2A$48.BA4BA4BAB60.A8.3B2AB6.A$47.2B
A3BABA3BAB59.A.A7.3B2AB3.BA.A$46.3BAB2ABA4BAB58.BA.A5.10B.B2A$45.4B2.
5B3A59.3BA5.13B$44.4B5.6B57.4B6.14B$43.4B4.9B54.6B5.15B$42.4B5.2A4.4B
52.7B4.4B2.8B$41.4B7.A5.4B44.B.4B.8B2.4B5.6B$40.4B5.3A7.4B42.2AB.17B
4.9B$39.4B6.A10.4B41.2A18B5.2A4.4B$38.4B19.4B41.2B.16B6.A5.4B$37.4B
21.4B43.16B3.3A7.4B$36.4B23.4B43.15B3.A10.4B$35.4B25.4B43.12B.B2A.A
11.4B$34.4B27.4B42.11B2.BA.A.2A10.4B$33.4B29.4B42.10B5.A2.A11.3BD$32.
4B31.4B41.6B2A2B5.2A14.3BD$31.4B33.4B40.6B2A3B21.3DB$30.4B35.4B39.10B
23.4B$29.4B37.4B34.A.2AB.8B24.4B$28.4B39.4B31.3AB2AB3.7B24.4B$27.4B
41.4B29.A4.B6.6B25.4B$26.4B43.4B29.3A.2A4.6B7.2B18.4B$25.4B45.4B30.2A
2.A4.5B5.5B18.4B$24.4B47.4B32.A.A.8B3.7B18.4B$9.A13.4B49.4B27.A.2A.A.
A8B3.7B19.4B$9.3A10.4B51.4B26.2A.A.BA2B.6B2.7B21.4B$12.A8.4B53.4B28.A
2.2B2.2B3D10B22.4B$11.2A7.4B55.4B27.2A.B3.2BD11B24.4B$11.5B3.4B57.4B
24.2A2.A.A2.B3D10B25.4B$13.3B2.4B59.4B22.A2.A2.2A2.14B26.4B$3.2A7.9B
61.4B22.2A7.14B27.4B$3.A8.8B63.4B30.14B28.4B$2A.A.B3.10B65.4B30.14B
28.4B$A2.3AB.2B2A7B66.4B32.10B30.4B$.2A2.BA3B2A7B67.4B30.10B4.2A26.4B
$3.4A12B68.4B21.B3.B.10B6.A28.4B$3.A.2B3.7B.B2A67.4B19.19B.BA.A29.4B$
4.3AB2.7B.BA.A67.4B16.B.19B.B2A31.4B$7.A4.4B5.A68.4B14.2A22B34.4B$2.
5A5.4B5.2A68.4B13.2A22B35.4B$2.A10.4B75.4B13.23B36.4B$4.A9.4B75.4B12.
23B37.4B$3.2A10.4B75.4B13.22B37.4B$16.4B75.4B13.11B2.8B38.4B$17.4B75.
4B10.13B3.5B41.4B$18.4B75.4B9.2AB.8B4.3B44.4B$19.4B75.4B9.A2.8B5.B46.
4B$20.4B75.4B5.3A3.8B53.4B$21.4B75.4B4.A6.6B45.2A8.4B$22.4B75.4B4.2A
4.6B44.A.A9.4B$23.4B75.4B4.A4.6B38.2A4.A12.4B$24.4B75.4B3.A.A2.7B35.A
2.A2.2A.4A9.4B$25.4B75.4B3.2A3.6B35.2A.A.A.A.A2.A10.4B$26.4B75.4B6.6B
39.A.ABABA2B12.4B$27.4B75.4B6.5B39.A.AB2AB.B13.4B$28.4B62.A12.4B5.6B
39.AB.2B17.4B$29.4B61.3A5.2A4.4B4.6B42.3B17.4B$30.4B63.A4.A6.4B3.6B
42.4B6.2A9.4B$31.4B44.2A15.A2.BA.A.4B2.4B2.2B3D2B2.A36.3B2AB6.A11.4B$
32.4B44.A14.A.2BA.A.4B4.4B.2BD5BA.A19.A15.3B2AB3.BA.A12.4B$33.4B43.A.
AB11.2A.2BA.4B6.3B.B3D5BA20.3A11.10B.B2A14.4B$34.4B43.2AB.2A12.6B11.
10B23.A9.13B17.4B$35.4B44.2B2AB12.4B.3B.B4.11B23.2A8.14B18.4B$36.4B
43.4B6.18B4.6B2CB24.4B5.15B19.4B$37.4B42.6B3.4BD11B2A2B4.5B2C27.3B3.
4B2.8B22.3BA$38.4B42.6B2.4B3D9B2A2B3.8B17.4B5.5B.4B5.6B23.B2AB$39.4B
41.7B.4BDBD13B.10B16.6B3.10B4.9B23.ABAB$40.4B39.15BD24B15.7B2.10B5.2A
4.4B23.4B$41.4B27.2A6.B.20B2.2B.17B14.7B.10B7.A5.4B10.A12.4B$42.4B27.
A5.20B8.18B12.19B4.3A7.4B7.3A13.4B$43.4B26.A.A21B11.19B2.2B3.23B3.A
10.4B5.A17.4B$44.4B26.2A20B12.15BC32B16.4B4.2A17.4B$45.4B27.21B12.7B.
4BCBC24B3D5B17.9B18.4B$46.4B25.22B11.13B3C9B2A12BD3BD4B16.8B21.4B$47.
4B24.14B3.3B.B2A4.A3.14BC11B2A12B2DB2D3B11.2A3.11B20.4B$48.4B24.14B6.
BA.A2.A.A3.8B2.39B10.A4.11B20.4B$49.4B23.15B8.A2.A.A3.6B11.8B.2B2.17B
2A.A2.A5.A.AB.11B21.4B$50.4B22.15B8.4A.2A3.5B3.4B5.7B5.10B3DB2.B2AB4A
6.2AB.12B21.4B$51.4B22.14B13.B4.4B2.8B4.7B4.8B2.4B4.B13.14B22.4B$52.
4B21.12B.B2A6.4AB2AB2.B3D10B5.7B5.4B3.5B3.2A.4A8.15B22.4B$53.4B21.11B
.BA.A5.A2.A.2A17B2.2B.8B11.6B3.A.A2.A8.15B23.4B$54.4B20.11B4.A10.39B
2.8B3.A.A2.A.AB6.14B24.4B$55.4B20.11B3.2A11.3B2DB2D12B2A11BD14B3.A4.
2AB.3B3.14B24.4B$56.4B21.8B16.4BD3BD12B2A9B3D13B11.22B25.4B$57.4B18.
9B17.5B3D24BDBD4B.7B12.21B27.4B$58.4B17.2A4.4B16.32BD15B12.20B2A26.4B
$59.4B17.A5.4B10.A3.23B3.2B2.19B11.21BA.A26.4B$60.4B13.3A7.4B7.3A4.
19B12.18B8.20B5.A27.4B$61.4B12.A10.4B5.A7.10B.7B14.17B.2B2.20B.B6.2A
27.4B$62.4B23.4B4.2A5.10B2.7B15.24BD15B39.4B$63.4B23.9B4.10B3.6B16.
10B.13BDBD4B.7B41.4B$64.4B23.6B5.4B.5B5.4B17.8B3.2B2A9B3D4B2.6B42.4B$
65.4B22.8B2.4B3.3B27.2D5B4.2B2A11BD4B3.6B42.4B$66.4B19.15B5.4B24.B2D
6B4.18B6.4B43.4B$67.4B18.14B8.2A23.11B4.B.3B.4B12.B2A2B44.4B$68.4B17.
13B9.A23.10B11.6B12.2A.B2A43.4B$69.4B14.2AB.10B11.3A20.A5B3DB.3B6.4B.
A2B.2A11.BA.A43.4B$70.4B12.A.AB3.B2A3B15.A19.A.A5BD2B.4B4.4B.A.A2B.A
14.A44.4B$71.4B11.A6.B2A3B36.A2.2B3D2B2.4B2.4B.A.AB2.A15.2A44.4B$72.
4B9.2A6.4B42.6B3.4B6.A4.A63.4B$73.4B17.3B42.6B4.4B4.2A5.3A61.4B$74.4B
17.2B.BA39.6B5.4B12.A62.4B$75.4B13.B.B2ABA.A39.5B6.4B75.4B$76.4B12.2B
ABABA.A39.6B6.4B75.4B$77.4B10.A2.A.A.A.A.2A35.6B3.2A3.4B75.4B$78.4B9.
4A.2A2.A2.A35.7B2.A.A3.4B75.4B$79.4B12.A4.2A38.6B4.A4.4B75.4B$80.4B9.
A.A44.6B4.2A4.4B75.4B$81.4B8.2A45.6B6.A4.4B75.4B$82.4B53.8B3.3A5.4B
75.4B$83.4B46.B5.8B2.A9.4B75.4B$84.4B44.3B4.8B.B2A9.4B75.4B$85.4B41.
5B3.13B10.4B75.4B$86.4B38.8B2.11B13.4B75.4B$87.4B37.22B13.4B75.4B10.
2A$88.4B37.23B12.4B75.4B9.A$89.4B36.23B13.4B75.4B10.A$90.4B35.22B2A
13.4B68.2A5.4B5.5A$91.4B34.22B2A14.4B68.A5.4B4.A$92.4B31.2AB.19B.B16.
4B67.A.AB.7B2.B3A$93.4B29.A.AB.19B19.4B67.2AB.7B3.2B.A$94.4B28.A6.10B
.B3.B21.4B68.12B4A$95.4B26.2A4.10B30.4B67.7B2A3BAB2.2A$96.4B30.10B32.
4B66.7B2A2B.B3A2.A$97.4B28.14B30.4B65.10B3.B.A.2A$98.4B28.14B30.4B63.
8B8.A$99.4B27.14B7.2A22.4B61.9B7.2A$100.4B26.14B2.2A2.A2.A22.4B59.4B
2.3B$101.4B25.10B3DB2.A.A2.2A24.4B57.4B3.5B$102.4B24.11BD2B3.B.2A27.
4B55.4B7.2A$103.4B22.10B3D2B2.2B2.A28.4B53.4B8.A$104.4B21.7B2.6B.2BAB
.A.2A26.4B51.4B10.3A$105.4B19.7B3.8BA.A.2A.A27.4B49.4B13.A$106.4B18.
7B3.8B.A.A32.4B47.4B$107.4B18.5B5.5B4.A2.2A30.4B45.4B$108.4B18.2B7.B
3A2B4.2A.3A29.4B43.4B$109.4B25.BA2BAB6.B4.A29.4B41.4B$110.4B24.BA3BAB
3.B2AB3A31.4B39.4B$111.4B24.B4A3B.B2A.A34.4B37.4B$112.4B23.3BA6B39.4B
35.4B$113.B3D21.11B40.4B33.4B$114.D3B14.2A5.10B41.4B31.4B$115.D3B11.A
2.A5.10B42.4B29.4B$116.4B10.2A.A.AB2.11B42.4B27.4B$117.4B11.A.2AB.12B
43.4B25.4B$118.4B10.A3.15B43.4B23.4B$119.4B7.3A3.16B43.4B21.4B$120.4B
5.A6.16B.2B41.4B19.4B$121.4B4.2A5.18B2A41.4B10.A6.4B$122.9B4.17B.B2A
42.4B7.3A5.4B$123.6B5.4B2.8B.4B.B44.4B5.A7.4B$123.8B2.4B4.7B52.4B4.2A
5.4B$121.15B5.6B54.9B4.4B$121.14B6.4B57.6B5.4B$121.13B5.A3B59.8B2.4B$
119.2AB.10B5.A.AB58.15B$118.A.AB3.B2A3B7.A.A59.14B$118.A6.B2A3B8.A60.
13B$117.2A6.4B7.3A59.2AB.10B$126.3B7.A60.A.AB3.B2A3B$127.2B.BA65.A6.B
2A3B$126.B2ABA.A63.2A6.4B$125.BABABA.A72.3B$123.A2.A.A.A.A.2A70.2B.BA
$123.4A.2A2.A2.A69.B2ABA.A$127.A4.2A70.BABABA.A$125.A.A74.A2.A.A.A.A.
2A$125.2A75.4A.2A2.A2.A$206.A4.2A$204.A.A$204.2A!

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muzik
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Location: Scotland

Re: Thread For Your Useless Discoveries

Post by muzik » June 16th, 2017, 3:55 pm

A for awesome wrote:By the way, these patterns must all be still lives in bounded B01245678/S0145678 with an always-off boundary.
When I try that, the patterns just tend to die off without showing any stilllifeesque behaviour.

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muzik
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Location: Scotland

Re: Thread For Your Useless Discoveries

Post by muzik » June 16th, 2017, 4:23 pm

After a bit more investigation, the rule B/S014578 appears to support all patterns of the aforementioned description as still lifes, and after playing back a few random fills it appears that the only patterns that appear in the junk also fit the description (excluding the duoplet). Could someone maybe pop it into apgsearch for a bit to see if anything of interest shows up?

Code: Select all

x = 315, y = 165, rule = B/S014578
190b3o5bo3bobo2bo2bobob3obo2bo4bob2obob5o2bobobo3bobo6b2o2b4o2bobob3ob
obob2o2bobo2bobo5b2obo2bobo2b2ob4o$190b3obo3bo2bob4o2b3obobo4b2o4b2ob
2obo3bob2o2b5o2b2ob3obo5b2o2b2obob3obobo3b2o2bo4b3obo3bobob3o5bobo$
191b2obo2b2obo3bo4b3obo4bo2b2o5bo2bo2b2o3b3o2b2o5bob3obob3o2b2o3b5o2b
5obo9bo2b7o3bob2obo$192b3o2b5o5b2o2b2ob2obo2bobo2bobob3obobobo5bo2bob
3ob2o3b4ob5o3bo3b4o2b5o3bo2b3obob2obo3bo3bo4b2o$190b2o3bo2bo8b5o2b4o3b
o2bo3bobo8b5o2bo2b3ob3obo2bob5o2bo2b2ob3obobo4b2o2bo2b4o3b3o2b2ob2o3bo
$191b2o2bob2obo2b2o2b4obo4b5o4b2ob4obo5bo4bobob2ob2obob2o4b3obob3ob3o
2b3ob5obo3bobob3o3b3o2b3o$190bobob2o3b2o3b3ob2o5b2ob3obo3b2ob4obo2b6o
9b2obo2bobob2o6bo4bob2o4bob3ob12obo5bobo$190bo2bo3b4o5b4obob4obob5o3bo
b2o3b3obob2ob4ob2obob2ob2o3b3ob7o2bo2bob2ob3obo4bob3ob2o3bobo2bobobobo
$190bobob2ob2ob7o2bob2obob3o2bo3b2o2bobo2bobo2b3o3bobobobo2bo5b2o8b6o
6bo4bobo2bobo2bob2o7b3o2bo$207bo2bobo2b2obobob4ob4o5b2ob4o2bo4bo2bo2b
4o2bo2b4o2b2ob2obo2bobob6obo4bo9bobo2bo$190b4o2bo2bobobo3b2o3b2o6bobo
2b2ob5o2b2o3bob3obo4b2o2bobob2o2b6o3b2ob2o3bob6obo4b3obo2b2o2bo3bo2bo$
190b2obo2bo5bob3obo2bo3b2obob3o2b2ob2ob5ob3obobo3bobo3bo2bo3b2ob2ob2ob
ob3o3bobo2b2ob3o2bobobo2b2o3b2obob2ob2o$190bobobo3b2ob2o2bob2o2b3o6bo
2b2o3bobo2bo2bob4o3bo4b5o5bo2b2o3b2obobo3bo2b4ob6obobobobo4b3obob2o2b
2o$194bobo2bo6bo6bob2o2bo4b3obo3b2obob3o3bo2b3obo3bo2b3o3b2obo4b2o3b2o
bob6o3bobo2bob3ob2o2bo2bo2bo2bo$190b3o3bobo2bobo2b2o3b4obo2b3o2b2ob3o
2bob3ob5o4bo2bob2obo6bo2b2obob9o2b3o5bo2bobobobo4bo2b2o2b3obo$190b3obo
5b2o3b2obobo2bo4bo2bo4bobob2ob2o5bo2bo3b5obo2bobobo2b3ob4o4bo2b4o2bo2b
2o3b2obo3bob2o2bob2obob3o$190bo2b3o4bo2bob2obob3o5b3ob2obob2o3b3obo8bo
b3obo2bo2b3o3b5obo4b3o2b2o2bob2obobobobob5o2bo2b2obo3b2o$191bobob3obob
3obo2bobo2bob3o2bob4ob5ob2obo4b3o2b2obo2b3o3bo3b6o2bo2b2ob2o2b3ob7ob4o
2b5obob3ob4o$190bob5ob3obo2bobo2b2obob2ob3o2bo4bo2b2o4bo8b2o2b2o2bob2o
bobo4bob4ob6ob2o2b3o2bobo6bob2ob3o2b3o2b2o$191b4o2b2ob2obobob3o2b2ob6o
bo5bob3o2b5o2b2o2bobobobo2b2o2b2o3bo2bob8o2b5ob4o2bo2b2ob3o3bobobobob
2obo$190bob3obo3b3ob3o3b4ob5ob3ob2o3bobo2bo5bo3bo5b4o2bobobobob16o3bo
2bo2b2ob4obo2b5o3b3obo$190bo4b2o2b3ob2obobo2b2ob2o2bo2b5obo2b2o6bob2ob
obo5b2o6b2ob5obo3bo2b4o3b4ob4o3bobob2ob2obob3o2b3o$192b2o2b4obobo3b4ob
o4bob4o4b4o3bo2bo2bo2b2o2b2ob3o3bobo2b2obobo4b7ob4o2b6o3bo2b3ob3ob3ob
2ob3o$190b4o4bo4b3ob3ob2obobobob2o2bo2b3o2b2ob2o2bobo3bob2obobo3b3o4b
2obob5obobob2o4bob2obobobo4b2ob2ob5o2bo2bo$192bo2b2obob2obo4bo3bo4bo3b
ob2o2b2o3b2ob2o2b6ob7o3b3ob2o2b2ob4ob3o2bobobobo4b3obo2b2ob2o3b2o3b2o
3bo$190bo2b4o2b2ob5o2b3o3b2obob2ob5obo2bo3bo2bob4o2b3ob5o4bo3b4obo4b2o
bo2b2ob3o2b4o2b2obobobobo2b3obobo$191b2o3b2o4b2o2b8ob3o3b3ob2o2bo4b2ob
o2bo4b3o3b2ob5obo4bo2bob2o2bo3b6obo2bo3bo3b6o2bo2b2obo3bo$195bob2ob2o
2b2ob7o3bob2ob2o3bo4b2o2b3o3bo2bob3ob2obo4bob2obo2b2ob4ob4o4bo4bo6b6o
3bo4bo2bobo$191bobo2bobobo2b2obo4b3obo3bob2ob3obo3b4o4bob3ob3o2bo4b2o
2b6obo4b2ob8o2b4o2bob2o3bo2b2o3b2obo2b2o$194b4o3b3obob5o2b2obob5ob4o3b
ob3ob2o4bob2ob2ob3ob2o2bobobob4o5b3o2bo2bob4ob6o3bo6b2o2bo$190bo2b2o2b
4ob3o2bobob3ob2ob2o3bobob5o2b3obo4bob3o3bo3bo2bob2o4b4obo3bobo2b2o3bo
3b4ob2o4bobo2bo2bob3o$191bo9bobo2bob2ob3obo4b3ob4ob2o3bob2o2b2obobobob
2o2bo4bo5bobo2bobo2b4obobo3bobo2b2obo5bo5bo2b2o2bo$190bo2b6ob2o2b2obo
3bo2bob2ob3obo3b4o2b2obob2ob2o4b3ob2obo2b7o5b2o3b7ob4obob2ob2o2bo3b2ob
2obob2ob2o$190b2o2bobo2bob2obob2obob2o4b8o3b2ob3obo3b2o2bo4bobobo4b4o
3b2o4b2ob5ob4o2b2o2b3o2bob2o3bo3bob2obo2bo$191bobobo2bob2ob3ob3o3bob2o
b3ob2o3b5o5bobobo2b6obobo2bobo10bobobob2o3b2ob2o3b2o2bobo2bobob2o2bo2b
4o2bo$194bo2b4o2b2o2bo3bo2bob2o2b2obob3o2bo2b4o4b6ob2o3bo4b5ob3o2bo5bo
5bo2bo2b3ob3o3b2o8bo3bob2o$191b2obobobo3b4o3bo2bob4o2bobobo4b4obobo2b
2o4b3obobobo2bob2o5b3o3bob2o6b2ob8ob2ob3obo6bobob2obo$191b2ob2ob6ob5o
5b4obob2obobo4bob2o2bo4bo2bo2b2o2b9ob3o2b2ob3o6b2o5bo5b2o6bo10bo2bo$3b
o2bo2bob6obo3bo4bo66bo2bo2bo3bo2bo4bo2bo5bo2bo6bo2bo7bo2bo8bo35b2o2b6o
b2obob2o2bo2b6ob2obo2bobob5ob2ob2obobo2bob5o6bo3bo2bobo2b2o2b2o3bo2bo
4bob2obo2b2o2b5ob5obo$2o2bo2bo4b2ob2ob4o2bo2bo67b2o4b3o4b4o4b5o4b6o4b
7o4b8o36bob3o4bo2b2o3bobo3bobo2bo6b3o2bo2bo3bobobo5bo2bo4b2o3bo2b2o2b
2o2b4obo2bob3ob2obobo2b2o2b2ob2o5b2o2bobo$2bo2bobobobo2b2obo2bo2b2obo
68b2o4b3o4b4o4b5o4b6o4b7o4b8o37bobob2obob4ob2ob6o2bob2o2bob2obo3b3ob6o
4b2obo2b3o4bobo2b3o3bo3b2ob2obo2bo3bob2o4bob2ob2o2bobo2b2o3b2o$obobo2b
o2b4o3bo6b2obo66bo2bo2bo3bo2bo4bo2bo5bo2bo6bo2bo7bo2bo8bo36bo3b2ob2o2b
3o2b2ob4obo4bobo3bo2bob4o3b3ob3ob4o4bobo3b2o6bobob2o2bo2bob10o2bobobob
ob2obobo2bobo$2ob3o2bo2bo2bo2bobobo2bobo164bobo2b2o2bo4b3o2b2o2b2o4b2o
b3obo2bo5b4ob3o3b2obo4b3o2bo4bob6obo2b2o2b2o2b2ob3obo5b3o4b4o2b4o$2o2b
o6bobo2b4ob2obob2o163bo2bobob3o9bo2b3ob2o5b7obo3bo2b4o4bob2o2b2o2bo2bo
2b2ob2obo3bob3obo4b3ob2ob2o2bo2bobo2b2ob2o3bob2o$obo2b3ob3o4bob2obob2o
2bo72bo3bo2bo4bo2bo5bo2bo6bo2bo7bo2bo8bo35bo2b2o5b3o3bobo3b2o2bo5b7o2b
o2bo2bobo2bob5o3b2ob3o3b2o2b4obo3b4ob5o6bobob3obobobob4ob2o2bo$ob3ob2o
2bobo2b5obobobo75b3o4b4o4b5o4b6o4b7o4b8o39b2o2bo3b2obo2b2o2bo2b2o2bob
3o3bobob2o2b3o2b4ob3ob5o2b4o2bo3b2o3b3obo4bobobobo11b4ob2obo3b2ob3o$b
2o2b2o2b2o2b2o2bo2bob3o2bo16bo2b2ob4o2b2o6bo2bo3b3o2bob3obo18b3o4b4o4b
5o4b6o4b7o4b8o38bo12b3o2bo3b4obobobob3o2bo2bob2o3bo2b3ob3o3b3o3b2obobo
b3ob2obo3bob2ob3o4bo2bobob6obo7b3o$obob4obobo2b2o2bobobob2o17b2o2bobo
4bob4obob4obo2b2ob2o2b3o20b3o4b4o4b5o4b6o4b7o4b8o37b2obobo3b2o5b3o3b2o
2bobo3bobob2ob3o2b2o5b2o4b2o4b3o2b2o2bob2o5b2o2b2ob3o2b3ob2obob2o3bo6b
o2bo2bobo$o2bob3o2b3o2bo4b2ob2o2bo15bo3b3ob5o4b4o2b2o2b8o2bo19bo3bo2bo
4bo2bo5bo2bo6bo2bo7bo2bo8bo38bob7o3bo2b5o2bo10b4o2b4obobo2b3obo2b3ob2o
6bobob3obobo3b3o6b3ob2obobobo2b3ob3o2b2o2bo2bo$3bo4bobo2bo3b3obobob3o
15b3o2b8obo2b2o5bob2o3bob2o3bo108bob2o2b4o3b2obo2b7obobo3bobo2bob6o8bo
b2o3b10obo6b2ob2o2b3o4bo2b3ob3ob3ob2obo2bo5bobo$bo3bob2o2b5o4b2ob3obo
15b2ob5ob3o4bo2bob4obo2bob2obo3bo109b2o3bo2b2o2bob2o4b9obob3o2bob2ob3o
2b2ob2o3bo2b2o4b2o3b3o3bo4b2obo4bo2bo2bobob2o2bob7o4b2o2b5o$obo7bo3bob
o2bobobo2b2o15b2ob6o3bo5bo4b2o2bobo2bob2obobo24bo4bo2bo5bo2bo6bo2bo7bo
2bo8bo36b2o2b2o4bo4bo3b2obob2o2b2o3bob3o2bobob3o3bo6b4o3b2ob2o2b2ob2ob
2o3b2obo8b2obobo4bo4b8ob2ob3o$ob3o7bo2bo3b4o4bo16b2o2bobobo2bob2o2b2o
2bob8ob3o2bo26b4o4b5o4b6o4b7o4b8o36b5o4bobo2b3o4b3ob3obo3b2obo2bobobob
2obob5o2b2o3b3o2bob2o3bobob2ob2obobo3bo5b2ob2obob2obo5b3ob4ob2o$2ob5o
2b2ob2obo5b3o2bo16b6o5bo4b3ob5o3bobo2bob2obo25b4o4b5o4b6o4b7o4b8o36bo
4bobo3b2o2bobob2o4b2obo3b2o3b2obo2bo5bo3b4o2bob3o5bo2bo3b6ob2o2bo2b2ob
obo3bo2bob2ob2o4b3o6bo$o3bo3b2obo2bo2b2o2b5obo17b2obo2bo2b5ob6ob2o4bob
2obobobo25b4o4b5o4b6o4b7o4b8o36bo3bo5bob3obobobo2b6ob4ob3ob3obobobo4bo
b3o2b3obob2obob3o2b2ob2o3b3obob2o2bo3bo3bo3b3o2b2obo2bob4ob2o$3obo3bob
o2bob4o3b2o3bo17bo3bo4bo2b2obob4obo2b2obobo3bobo26b4o4b5o4b6o4b7o4b8o
36bo2bo2bobobob2obo2b2o3bob3obo2bo2bob2obo4bob5o3bo2bobobo2bobo10bob2o
2bo2bo2b4obo3bobobobo2b2obo2b2ob5o2bo$2b2obobobob5o2bob2o3bo18bo2b3obo
b3o2bo4b2ob2o3b4obo30bo4bo2bo5bo2bo6bo2bo7bo2bo8bo35b2o4bob4o2b2o2b3o
2b6o6b2obo4bob2obobo4bob3o2bo2b5o6b7ob2ob2o3bob5obo2bob2o4bobo2b2o2bo
2bo$obo4bobo2b5o2bo5b2o16b2ob4o2bo3b9obobob3o2bo2b5o107bo2bo2bo2b3o2bo
bo2b7ob2o2bo3bob8o2bobo2b2o3bo2bo2b3obobo3bo3bob2obobo2bob2ob2obo3b2o
2b2ob2o2bo2b4o4bo$2o3bob2o2bo11bobobo16bob3obob3ob2obo2b2obo2b4o3bo2bo
b2o108bo2b2obo2bo3b3o2b2o2b2o4bo2b5o2bob2ob4o4bob3o2bo3bo2b3ob4obob6o
4b2o4bobo5bob4ob5ob2o3b3obo$2bobobobobobobo2bo2b2o5bo16bo2b2o3b4ob2o3b
5o3bo3bobob3o34bo5bo2bo6bo2bo7bo2bo8bo35bo5bo2b3o4bob2o2bob3o3b5obo2bo
b4ob4o7b3o2bobob6o2bo2bob2ob2ob3o2b2o3b3obo2b2o7b5o5b2o$2obo4bo4bo6bob
o20bo3b2ob4obo3b3o2b2obo4b2o2bo2b2o35b5o4b6o4b7o4b8o36b4obo5b2obo3b2o
2bo3b2o3bob2o2b2o5b2o2b4o2b4o4b3ob2ob3o2b2ob2o3b3obo4bo3b4ob4obo2b2ob
5o2bob3obo$bo4b2o2b3o3bob2obobo2bo16b2o2b2o3b2o2bob3o2b2ob4obo3bob3obo
34b5o4b6o4b7o4b8o37bobo5b3ob2obo3b2o4b2obobob5ob3o2b2obob4o2b3o2b2obo
3b2ob2obo4b3ob4o3b2ob2ob5ob2o3bob7ob3o2bo$bo2b2ob2o3bo2bo2bob3ob4o16b
2o3bo3bobob3obo2b4o2b2o2bo2bo2bo35b5o4b6o4b7o4b8o36bo3b2o5bo2bob2o2bo
4b3o2bobo2bo2bob3obobo3bobo2b3obo2bo2bo2b2o2b3obobob2obobo2b3o3bo2bo6b
o12bo3bobo$b2obobo4bo3bo6b3o2bo17bo3b3o2bo2bo5bo3b2o2bobo3bo38b5o4b6o
4b7o4b8o36b8o6b3ob2o3b4obobobobo4b3o2bo2b2ob4o3bo3bo3b3ob2o3bo2b2o2bob
2obobo5b2o4b2o2b6ob3o2bo2b2o$obobo2b10obobobobo2bo16bobob2o2b2o3b3ob3o
2bob2o4bob2obo36b5o4b6o4b7o4b8o38bob3o5bo4bob6obo2bob3obo3b2o2bo3b2obo
b4ob2o3b2obo2bobob2obo3b6o2bob2ob2o2b3ob2o3b2obo3bob3o5bo$b2obob2o4b2o
bo3b5ob3o16b2obo2b2ob3o2b5o3b2o2b2o4bo2bo2bo32bo5bo2bo6bo2bo7bo2bo8bo
37b2obo2bo2bob3obo2b4o4b3o5bob3o3b2o4bo2bobo2b2obobo9b4ob2o4b2o6b3o2bo
bobo2b2o3b4ob2obo2bo3bo$o2b2obob2o2bo3b2ob3o3bo17bo2bo2bo2b2o2bobo6bob
ob2o6b2ob2o109bob5obob2o2b2o4bo3b3ob2o4bo3bo3b2o2b2obob2o2b3obo3b2ob4o
bo2b8o2bob6ob2obo5b2o2b2ob2o3b3o4b2o$2bob2o3b2o4b2obo2b4ob2o15b9obobo
3b3o2bobobo2bob3ob5o108bob2ob4o3b6o5bo3bo2bob2ob3obobob3o2b3ob3obob5o
2b2o4bob2o4b2o2bo2b2ob3ob7o2b2obobo6bob3o3bobo$2o2bobo6b4obo2b5o17bob
4o2bo2bo3bobo2b2obobo3b4o2bo2b2o41bo6bo2bo7bo2bo8bo35bob2ob2o2b2o2bo3b
ob5o4bo2b2ob2ob4o2b2o4b2ob7o2bo2b5o2b3obo2b2ob4obobo2bob3ob4o9b2o2b2ob
3ob2o$bob2obobobobob3o2b2obob2o17bob4obo2bo7bob2o2bo3bobobobo3bo43b6o
4b7o4b8o37b2o2b3o2bo2bob3o3bobob3o2b2ob4o6b2o2b5o6b2o2bob2ob2o3b3o3bo
2bobob8o4b2o3bob2o3bo5b2ob2o3b2o$b2o2bobobo3bob4obobo2bo17bo6bo3b2o3bo
bo4b2obo2bo2bo3b3o43b6o4b7o4b8o36bob2ob2ob9ob2o2bob2obobo2b3o2bo2bo2b
4o2bobob3ob8ob2obobobob2o2b3obo2b3o3bo4bo3b5ob2o2b2ob2ob2ob3o$2bob4o2b
8ob2o2bo2b2o15b5ob2o5bo2bob3o2b3ob4obobo2b2o43b6o4b7o4b8o36b3obobobobo
bo2bob3o3bo2b3ob2o2b3obo4b2ob3o2bobobo4bo3b3ob2obo3bob3ob5ob3o2b2o8bo
2bobo2b4o5b2o2b2o$obo4bob5o3b2o2bo2bo19b2ob3obo3b2ob2ob4o3b2o5b2o2b2ob
o42b6o4b7o4b8o37bob3ob3o2b3obo6b2obobo4b6ob2o4bo3bo2bob3o4b2o6b3o5bob
2obob2o2bo2bob4obo2bo2b3obobo3b2o2bob2o$2obo4bo3b2ob2o2b2o2bob2o16b2ob
o3b2o6b3o4bo6bob6o45b6o4b7o4b8o36bobo2bob3o3bo5bo2bo3bobob2o3b3o4bob4o
4bobo2bo3b3obobob4obo4bo4b3o3b2o2b2o5b3o2b4o3bo2bo3bo3bo$bobobo3b4obo
2b3ob2obo2bo20bo4b2obob3o4bo5b3ob4ob3o42b6o4b7o4b8o36bo2bobob2o4b2o4b
3ob2o6bob2o6b2ob3o2b3o3bob2o3bo3b2o2b4obo3bo2b2ob3o4bob3o2bob3o2bo3bob
obobo3b2ob2o$o2b2obob2obo3bo7bobobo15bobo2b3o2bo2b2o3b2o2b2ob2o3bobob
2o2b2o41bo6bo2bo7bo2bo8bo40bob2ob2ob2o2bo7b2obo3bo2bo3b5o2b3o2b2o2bo2b
o2bobo4bobo2bo2bo2bob4ob3ob2ob2ob2obo4bob2obo2b4obob2o2bo$b2o2bob2o2b
5obobob2ob2o20b10o3bo2bob2o2bo2bo2bo3b4o109bo4b4o3bob2ob3o2bo3b3obo2bo
3bo4bo3b2o3bob5o2b3o2bo2bo3b2obo2b3o2b2obobo3b3o2bobo4b2o2b3ob6o2bobo$
o4b2o3bo3bobo2bob2ob2o17bobob2o2b2o5bob2o2bobob3o2bob3obo2bo107bo2b2ob
2o2bobo2bobobob7o5b2ob4obo3bob3ob2o5bo3bo2bobobo2bobob2o3b3ob3ob2o2b3o
b6o3bo2bo3b2obobo$ob2o2bob7obobob2o3bo19b3obo2bo2b2obobo2bob2o3bo5b2ob
2obo11bo3b2o3b3ob3obob2o19bo7bo2bo8bo35b2obob2o3b2o3bo2b2ob2obo2bo2bo
2b5o2bobo2bob2o3bo2b2ob2obo2b2ob2o3bob3ob2ob2obobo2b3o2b2o3b3obob2o3b
4o2bob2o2b2o$o4bo6bo2b2ob2obob2o18b4o3b2o3bo4b4obobobo3bo2bobob2o13bo
2b4o2bobob2ob2o22b7o4b8o37b2ob3obobobo2b5obo3bo3b4ob2o3bob3o2bo2b4obo
2bo2bob4ob3o2b2o2bo3bob3o3b3o2b4o2b6o3b2o6bobob2o2bo$3ob2obo4b2o3bobo
4bo2bo16b2o6bo3bo4bobobo3bob2o2bob2obo16b6obobo2bo3bo21b7o4b8o36bo2bob
o2bo2bo2bobo3b2obobobob3ob2o3bob2o6b4o7bo4bobobo2bo4b3ob3obob2ob11o2b
2obobob4ob2ob2ob4o$ob2obob3o2bob4obob2ob2obo16b2obobobob3ob3ob3o3b3ob
2o4bo2bobo11bo3bobo2b7o2bobo20b7o4b8o38bo2bobo5bob2o2bo2bo2b3ob4o2bob
3obob6ob2obo4bo3b2o2b2ob2ob2ob4o2b3obo2bobob9o2bob4ob2o2bo5b3o$2bo5b2o
3bo2b2o2b6o17b2obo3b2o2b4o3b3ob4obob2o3b2ob2o14b5o3bobobob2o23b7o4b8o
36b2ob3obobob4ob2ob2o5b2ob2obobob2obobo2bo2b4obob2obob2ob2o2b2o2b3o5bo
2bo2b3ob6obo2bob2o6b3o2bo6b2o2bo$o5b3o2bo4bobo2b4o2bo15bo2bo2bo2b3ob8o
b3ob2o2b3obobo2bo11bob2o2bo3b2o2b5obo20b7o4b8o36b3obo2b2obob2o2bo4bobo
2bo2bo2bob4o4bo2bo2b2obo2b2obo3b2o2b3o3b5o2bo2bo2b2ob4obo2b2o2bo2bo3b
2o2b2o2bobobo3bo$2bo2bob3obob3obo2bob3o18bob2ob2ob3obobo2b3o3b2o6bobob
obobo11bo3bo3bob2o4b3obo20b7o4b8o36b5obobob3obobo4bobo2b4o3bobob3obo2b
2obo2b3ob8o3bob4ob3obobobo2bo3b5o4bobo3b2o3bo3bob3o5bob2o$ob5ob2ob2obo
b3ob4ob2o16b4o5bo2bo2b3o3bob3o3b2o2b3ob2o12bobobo2bob2o4b2obobo20b7o4b
8o44b3ob4o3bo3b3obo3b3o2b2ob2obobo2b2ob4o3b5ob3obo2bo4bo2bo2b3obo8b2o
2b5ob3ob5obo3bobob2o$2bobo4bo3bob3o5bob3o16bo4b2obobo2b3ob2ob2o2bobo2b
o3b3o18b3o3bobo4b2obo19bo7bo2bo8bo37b2ob6o2bo3b5ob3o2b3ob3o3bo7bo5bo2b
3o4b2o2bo4bo4bo2b2obo2bo2bobob5o7bo7bob5ob2o$b2ob2ob3obob2o4b7obo16b2o
11b3o3b2obob2obob6o2b2o12b2obo2bob2o4bob2o77b3ob2o6bo3b2o3b2obo2b2o3bo
3bo5bobo6bo6b3ob2ob5o3b3ob2o4b3ob5o6bobobo2b2ob3o2bo4b2ob3o$3o2bo2b3ob
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2b3ob3obo2b6ob3ob2ob3o2bo2b4o3bo2bobo2bobob4obo5bo3bobo2bo2bob2obob5ob
2o3bo4bo2b3ob2obo$bo4b3o5bobobobobob2obo16b4obo2b2ob3o6bo4bobo2bo2bo2b
2o16b4ob2o3bob2o33bo8bo36bobobob2ob3o2b2o3b2obob3ob2obob2obo4bob2o8bo
2bo4bobobobob4o5b2o4b2o2b2ob2ob6obo5bob2o3b2o7bo$ob2ob4o2b2o2b2obobobo
b2o20bo2bob3o2b3o2b2obobo2b2obob2o4b3o11b2o2bobo2b3o4bo3bo22bobo6b8o
36bo3bobo4b2ob2o2b2o2b3o7bobobo3bo5bo2bobobob2ob2obob4o3bob2ob2o2b2o2b
3obob2obo2bobob2o2b3o2bob2ob2o4b2o2bo$2obo2bo2b3ob2obob2obo3b2o18bobo
2bob2o2bo3bo2b2obo3bo3b2o2bo2b2o11b2obo3b2obob3o3bobo16bo2bo3bo7b8o37b
3ob5ob4o2bob3obo2bo2bo2b2o2b2o5bob5obobo2b2o4b2o3b2ob3o4b5o4bobobobo3b
5o3bobob5o2bo3bobo2bo$b3obo5bo3bobobo2bo2bobo16b2obobob5ob3ob2ob3o3b2o
b2obobo15b3o3bo3bobo4b3o17bo5bobo6b8o37bo4bo2bobobobo2bob3o2b2o2bo2bo
3bobo5bo3bobobob2obobobob4obo4bo8bobobo2b2obo6bo3b3ob6obobo2bo2bo$obo
3b2o3b4ob3o3b6o16b3obo2b2obob4o3bo3b4o2bo2b2o3bo12bo2b2ob3obob2obobo
34b8o37b3o6b3obo2b2obobobob2obobo2b3o3b2obobo3bobob4o3b2o3b5obo3bo2bo
3b2o7bob2o2bo6b2ob2obo2b2ob2o4bobo$3o2b2o4b2obobo2b2o2b4o20bobobobob2o
3bob2o2bob3ob3o2b3obo12b2o3bob2obob2o4bo33b8o36bob4ob2o3bob2ob2o2b5ob
4ob2o4b3o2bo3b2o2b5o2b2o2b4ob3o3b5ob2o4b3o2bo2b2o3b2o3b2obo3b3ob2ob3ob
3o$3b2o2b4ob3o5b2ob2o18bob4obob2o6bob2obo3b3o2b2obobobo14b2o2bo5bo2bob
3o17b2o3b2obo6b8o37b8o6b3o3b2ob5obob2o2bob2o3b3ob2o4b2ob4o2bob7o2b3ob
2ob2o2b4o2b3ob2o4b5obo3bo3bobob2o2b2o$4o2bobobo3bo2bo2b6o17bo2b3o2b4o
2b4obo2b2o3bo2bo4bobo14b2o2bo3bob5o2bobo15b4o5bo6b8o37bob2ob2o3bo2bobo
2bobobobob4o2bobobo4b2o3b2obob2o2bo4b4o3bo2bo2b2ob3obobo3b3ob2o3bo2b3o
4b2o2b2ob2obo2b2obo$3o3b6o4bo2bo2b2ob2o16b6ob2o2bo2b3obo2b2obobobobo3b
2o3bo12b3o4bob3o4b3o16b4o2bo9b8o36bo3bo2b2ob3o2b3obobob3o4b2o3b5obo3b
4obobob2o8b2o4b3obo2bob2obo2bo2bo2b2o3bo2b6o2b2o3b2o2bob5obo$b2o3bobo
2b4obo2bobo3b2o16bob2o2bo3b4ob5o2bo2bo2bo2bob3obobo12bobobo4b2o25b2o3b
ob2o5bo8bo36b5ob5obob3o2bobobo2b4ob3ob2o8b3o2bob3o2bo2b2obo2bo3bob3o2b
5obo6bo2b3ob2ob3ob2o2bob2obo5b2obo$2b6ob3o2bobob2obob2obo18bob3o2b3o3b
5o3b2ob2o3bobobobobo107bo3b4o2bobobobo4bo2b4o2bo2bo2bo2b2o2b3ob3o5bo3b
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20b2ob2o2b2ob2o2bobo3bobo2b6o2bob2o107bobo2b2ob4o3bobobo10b4ob10obo2bo
4bo2b2ob2o4bo5b3ob2o2bo2b2o3b3obobo6bo2b2o3bo2b5o5bo$b5obob7obo2b2obo
19bob2obo4bo3b3o3b2o3b4ob2ob2o3bo108bo6bob2obobobo2b2o3b2obobo2bo2b2o
3bobobo3b5ob3ob4obo2b2ob2o2b5ob3ob2ob2o2b3ob3ob3o2bo2b3o2b4ob2o2b2ob2o
$o5bo2b3o3bo4b2obo167b2obo2b3ob2obo2b2o3bo2b3ob5o3bobo3bo2b3o5b2o2bob
3ob2ob2obo2bobobo3b4o4b6ob3obo2bo3bobob3o6b5o$o4bobob4ob2o2bobobo2bo
165bo2bobo2b5o4bobobobo2b2ob2o7b2o2bo7bob2obo2b5o7b2o2bob3ob2obo4b2o2b
obo2bo3bo6b3obob6o2bo$o2bobobob4obob6ob2o2bo164bobo4bob2o3bob2o2bo2bo
5b2ob6ob2o2bob5ob2obo3bo2b3ob3obo2bo2b2obo2b3o2bob2ob3o3bobo8b2o2b3ob
2obob2o$2obo2b2o8bo2b2ob2obo165bobobo2b3ob2o2bobo3bo2bo2b3ob2obobob5ob
obob3obo2b2ob5ob2o6bo3bo5bo2b4o2bobob2obo3b6o2b2ob7o2b2o$2b2o5bob2o3b
4o2bo4bo30b3o2b6obo3bob3obob2o2bobo2bo5b2obobobobo2b2o6bob3obob2obobob
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6b2o2bo8b3obobobobob2ob3o4bob3obobob2o2bobob4obob3o3bo$o4b8o4b2o4b2ob
2o30b3ob2ob2obo2bobo2bo5b3ob6obobo2bobo2bobo4b2ob2o6b4o2b5o2bob4o2b4ob
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b2o4b4o6bob3o3bo3bobob3ob2obobobo3bob3o4bo2b2obobo$bob2obob3obo3b2ob3o
b2obo32b2o3bo2bob2o4b5ob5o2b5ob2obo5b2ob2ob3o2b2o2b2obo2bo3bo2b2o4bobo
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2o4b3o2bo2b2o3bobobob2o2bo2bo2b2o7bob3o$bobobob3obo5bo2bo4b3o30b4obob
2o2b13o3b6o2b6obo2bobo2b3ob2obobo5b2o5bo4bo2bob2ob2o2bo3b2o2bo3bo5bo2b
2o20b3o2bob2o5bo3bob7o4bob5ob4o3b2ob4obob4o2b3o3bo2bo4b2obob4obob2ob4o
2bob3obob4o5b4o3bo$3o5b5obob4ob4o2bo36bob3ob3o2bo6bo2bo4b2obo2b3ob2obo
8b2obo3b4o3b2o2bob2ob2ob8obobo2b3obob7obob3o22b3obob8ob2o2b3o4bo2bo3bo
2b2obo2bo4bobobob2o4b2obo3b4o2b2o2b5o2b5obob2o5bob6obobob5ob2o$b4o3bo
5bob3o2b6o32b3ob2ob6o3b2o2b4ob2o6b3o2bo2bo3b2obo6b3obo4bobo3b3obo5bo4b
ob2o4b2ob5o2bo6bo20b2o2bo3b2o3bobo2b2o2bo5b2obo7b2o4bo3bo5b2o5b2o6b2ob
o6b2o2bo2bobobo3bob4o3b2o2bobo4bo2b2obob2o$2bobo2bob2o2b2ob5o6bo30bobo
b3o4b2ob4obobo2bo4b2ob2o2bo2b2obob2o2b2obob4o4bo2bobobo2bo3bobob3obo2b
6ob6ob5o4bob2o20bo3b3o2bo2b2obobob3o2b5o2b2o2b2obo4bob2o2b2obo3b2ob2o
4bob3ob2o2b4ob2obo3bo4bobo2bob6o2b2obo4bo2b2o2b2o$4bobob2ob3o2b3ob2obo
2b2o30b6o3b2obobobo3b3ob4o2b3ob3obo3bobo2b4ob2o6bo4b4ob2o5b2o2bob2obo
7bo2bobob7o2b3o24b2ob2obo2b4o2b4o4bob2ob2o7bobo2b2o2b3ob6o3b2o4b2o3bo
4bo3bo2bo2bo2bo2b3o2b2o2bo2bo5b2ob7o$obo4bob2obobob2o6bo2bo30b3o2b2ob
3ob4obo4b3o3b2o2bobob3ob2o3b2ob2o2b3o2b2ob3ob2ob5obo5b2o2b3obobo3bo3bo
b2obo2b8o20b8o3bo3bob8ob2o2b2ob2ob2o3bobo2bo3bo4bo3b2ob2o4b5ob2obo3b4o
2bo4bobobo3b3o2bobo3b3ob3o2b2o$2bob2ob2o2b2ob3o3b2o4b2o31b4obo5bo2bo2b
ob3ob3obo2bobo2b4o3bo3bobob3o5b2o8bob2o2bob5obob2ob4ob3o3b4obob2ob2obo
19bob3o3b2o2b2o2bob2ob4o2bob2ob4o3bo2b2obobo10b4ob2obob5ob3o2b2o2b2o3b
3o2b4o3b2obo3bo5bob2ob3ob2o$4obo3bo3bo3b2obo4bobo32b2ob4ob2obob3obobo
4bo3bo2b2ob5o2b2o2bo2bo4b2obo2b6o2b3obobo2b3obo2b4ob2ob3o3b2obo2b3o24b
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3bob2o2b6o2bo3b3o2b2obo2b2o$5o3b2ob3o2bob2o2b2ob2o31bobobo6b2obo2bo3bo
b2ob2o3bo3bo4b3o2b2o4b4obobob3o2b2ob3o2b2ob3ob3o2b3o3bo4bob3o6bob4o19b
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3b2obo3b6ob6obo2b2obob3obo$3o4b3o3b2ob2obo2bob2obo31b2ob2ob3o2bo4b4ob
2o4b6o4bo5bo2b2o5bo3b6obo2bob3o2bobob3ob2ob2ob2obob3obobob3ob5obo19bo
2bo5bobo2b4ob2o2bobo3bob2obo2bob2obo2bobobob4o4bo3bo2bobo6b2ob4o2bo3bo
2bo9b2obobo2bob2ob3ob4o2bo$bo2bob2o3bo2bob2o2bobo2b2o31b4obo3bob4o2bo
4b5o3bo3bobo2b2o2bobo5b2ob2obobobob2obob2o2b3ob2o2bobo3bob3ob4o4bob2ob
2ob3obo21bo2bo4b3o3b2ob3o3bobo2b2o2bo2bo2b2o3b2ob3o2b9o2bo3bob2ob2o2b
2o3bo2b2o3bobob2obo5bo2bob2ob2o2bo2b3ob2o$3bob2ob2ob2o3bob4o2b2obo31b
5obobobo3bo2b3obobobo3b3o2bobob4ob5ob2o2b3obobo2bobob2o4bo5bo3b4o3bo2b
3o4b5o4b2o21b2o2bo3bo2b3o3b2o7b2o2bo2b2ob3o3bo4bob4o2bo2bob3obob3ob2ob
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3bo4bobo2b3ob2obob6o8b2ob5ob5ob2o8b2o2b4o2b2ob2o2bo2bob2o2b3ob2o2b3o
24b3obob2o3b5o2bo2b3o4b4o2b3obobob2o3b2o3b2ob3o2bo2bob3ob4ob2o2b3o2b4o
3bobobob2o2b2o4bo2bobo$3b2o2bo3bob2o4bobo2bo2bo30bo8bo3b2obo2bo5b2o8bo
b3o4bob5obo5bobobobobo3b3obo5b6o6bo2bo4b2obo6b2o20b3obo2bo2b2o2b4obo3b
o2bobo4bo3b2ob2o2bobo2b2obo2bo2b5o3b2o2bo2bobo7bo3bo3bobo2b2o2bobo3bob
2obo2b2ob2o3b2o$3bob2o2b2ob2o3b4o2bob3o31bo2b3o2b4obo3b3obo2bo2bo2b3o
3bob2o3b3obob4ob2o2b2o2b2o2b3ob3o5b3ob4ob2obob2o3b2obobob3o2bobo21bob
3ob4o2b2ob3o2bo2b3o4b4o2b2o5bob2obob4o3b2o3bobobobo3bo3b2o4bob2o5b2obo
2b5ob2o4bob2obo4b2obo$o2b3obobob3o2bobobob2o3bo30bob6ob3obo5b2ob2o2bo
3b2o4bo2b2ob3o3bo2bobo5b3o2b3ob2ob3o2b2obo2bob5o10bobob8o21bo2b3ob3obo
4bo2bo2bobobo3bo2b2obo2bo6b2o2bo2bo2b2obob2obo3b2o3bobob5ob3o9bob3o6bo
2bob3obo3bo2bo$2ob2o3bob2o6b2o3bob2o31bobobo2b2o2bo2b2ob3ob2o3bobo5b2o
4bo3b2o2bo5bobob2o2bo2b2obob5o3bo2b4o2bo3b2ob2o3bo2b4ob4o21b2o3b2o5b5o
bo2bob4ob2o3bob5o2bo3bo5b2o4b2ob2ob5o4bobobo3b3ob3ob3obo2bobo3b3obo3b
4o2b5ob3o$59b2ob3o2bo2bo3b5ob4o2b5ob2o3b3o2bo3b2obobobo3b2obobobo4bobo
bobobobob2ob2ob2ob2o5bo2b3o4b3o20b3ob4ob2obo2b2o3b3ob3ob2ob3obo3bo4b4o
2bob3o2b2o2b3o3b2o2b2obo4b4ob2o2bo2b4ob4ob2ob2o2b2ob8o2b2o$60bo2bo4bo
2bob3obob3o2bobo2bob2o3bobob7obo2bobob5o2bobobobobobo2b2obo2b3o2bobo3b
3o2b2ob2obob2ob2o21b2o3bobobob2o2bo3bo2b2obo2b3ob2obo5bo3b3ob5ob4o2bob
o2bob3ob3o3b2ob3o2b5ob6o6bobo3b2o2b7obo$58b2o2b3o3b4ob6o3bobob4ob2obo
2b2obob3o2bob2obob4o2bobob2ob3obo2b4o2b5o3b2obo3b3o3b5o2b3o19b2ob2o2b
2o3bobob4ob4obob2ob3o2b2o2b3o5b2o2b2o4bob2o3b4o4b2o5bobobo2b2o3bo2b2o
4b3o2b2ob2o5bob3o3bo$58bo5bobob5obobo2bo4bob2obo4b2o5b3obo3bo2b3ob2o3b
o3b2o4bo9bo3b3o2bo2bo5bob4o3bobo23bob3obobo2b2o3bobo3b6o4bob3obob2ob2o
2b3o3bo2b2o3bobo7bo2b2o3b2o2bo5bob2o2bo2bo5bob2o2bobob2ob4o$58b2o4bo2b
3o2b2obo4bobo2bo2bobo2b6obo2b3o2b3ob3obo2b3obobob5ob3o2b4obob7ob3ob2o
2b3obo2bo21bob2o2bobo3bob3ob3o8bobobo4bo2bob3o5bo2bo2b4obo4bo2b3o6bo4b
3obobo2b2obo2b2o4bob3o3b2o2bo4b3o$58b4o3bo2b2o3bo2bob4obo5bo2b2obo4bo
2b3obobo4b2ob2o4b3o2bo5b2ob2o4b2ob2ob5obo2bo4b2o2b4o22bob3o5bobobobo4b
obobob2obo3b2ob2obob2o3bob2ob3o3b3o3bo3b3o2bo4bobo4bob4obo2b2ob2o6b3ob
3o5bo2bo$65b6ob7o2b3o3b2obo3bobobo5b3o2b2obob2o5b2o7bobo2b6o2bobo2b2o
2bobob2ob4o2bob2obo19b2o2b3ob2o2bo6bobo2bob2o2bo2b3ob2obo3b2obobo3b3ob
o5bobobob2o2bobobo2b4o2bob2obo4b4o2b4obo2b4obobob3o$60b2o2bob2o6b2ob5o
2b2o3b3ob4o3b2o2bob2o2b2ob2o2b2o6b2ob2o2b2o2b2obo4bobo4bob4ob5o2bo2bob
o20b3obob3ob2obobo5bobobob2ob3ob2ob2ob2o2bo2b2o2b3o2b4ob3o2b3obo2b2ob
3o2b3ob2ob4ob2ob3obob5obo2b2o2b2o2bo$58b8obo4b2o2b2o2bobob6obo2b5obo3b
ob2ob3obob4ob2o2b2o3bo2b5obo2bob2o2bo2bo2bo2b5ob2o3bo2bo19b2o2b2obobo
2b2ob3o3b2o3b2ob2obo2b2obo2b2o2b3o2b2obobobo3bobo2bobo2b5o9bo2bob2o3b
5obobo7b4obo5b3o$60bob2ob3ob9o5bobo2b4ob2ob3ob3obo2b2obob4o5b2ob3o2b2o
6bob2o3bob2o4bob2ob2ob3o2b6o20bo4b3o4b2obo2b3ob2o2bo2b2obo2bobobobobo
2b8obob4o2b4o2b3ob2o2b2obo3bo3b2ob4o2b2ob3obobo2b2ob2obo4b3o$58b4obob
7obobob4o2bobobo2b2obob2ob2ob2o2b3o2b2obo2bob2o3b2obo3b2o4b2obo6b2obob
4obob2o7b3o22bo2b2o2b3o4bo2b4o2b3ob3ob2ob2obo3bo2b2obo3b2obobob3o4b2ob
4o2bo2b2o2bo5b2o2bob2o4bob2ob2ob2ob3ob3o$60bo3bo3b3obobo2bob2obob2o4bo
b2ob3o5bo2bobo2bo4bob3obo3bob2obo3b2ob4ob4obobo4b2obo2bobob6o20bo4b2o
2bobo3b3obobob6obo2bo2bo3b2o7b2obo2bo4b2ob2obo2b2o2bo2bo2bob3o2bo2bo2b
obo4bo3b2obobo2b5obo2b2obo$58bo2b2o2bo2b2obo5bob3obo3b3o2bo4b3ob2obo2b
o2bobobobob2o6bo2bo2bo3bo3b3o5bob2ob4ob3o3bob2ob2o19bob2obo4b3ob2obo3b
3obob2o2b4obob2obo8bo5b2o3b4o7b2obo3bo2bo6bob3obo4b2o2b2obo4bob3o2bo2b
3o$58bob2ob2ob2obo3b3ob3o4bo3b2o7bobo2b2o6b3o3bo2bob2o3bobo2b5ob3ob2o
2bobobo3bobobo2bo4bo4bo19bo4bob4ob6ob4o4b2ob3o3b3o2b2o2b3o2bobo3bob2ob
o2b2o2bob3obo2b2o4bobobo2bo3bob3o2bo3bobobo7bobo2bobo$58b3o3b2obob2ob
3obo2bo2bo7bo5bobob3ob2obo2b2o2b3o2b2o2b2o2b2obob2obobo4bo2b2obo3bo2b
3o3bo2bobob3o20b2ob3o4bo3bob3o5bo4bobobobob4o2bobobobo2b2obo4bobo3b2o
4bobo3bobob2o2bo3bo3bob2ob2o4bobob2o4bob2obo$58bo3b4obo2bo2b2obo6b4o2b
3o2b2o6b2ob2o2b4o3bo2bob2ob6o2b2o2b2obob2o3b3obo2b2o2bobob2obo3bobo19b
3o3bobob2o2b3o4b2o3b2o6bobo2b2ob3o3b3obob2o2b6o3b2o2bo2b5o3bo4b3o3bo2b
4ob2ob2obo3bo7bo2bo$58bobo2b4ob5obobo3b2o2b2obob5o2b3obobob2o6bob2o2b
5ob2o4b4o5b4obo2b2o4bobo4b3o4bobo22bobobo2b2obo3b3ob9o5bobobo6bobo3bo
3bobobobobob8ob2o3bo9b5o4b2ob2ob4ob6o6bobo$61bobobobob2o3b2o3bo3bo2bob
ob2o2b3obobo2b3ob2ob2ob2o3b3o3b2obo3b3o4bo2b4o4bobob3obobo2b3ob4o20bob
o3b2o2bob3o3b2obo2bo2b2o7bo3bobo3bo2b2o2b2o2bo2bob2obobo3bo3b5o2bob4o
4b6ob4o2b2o2bobobob5obob2o$61b2o2b3obo2b2obobob5o2b2obo4bo4bo2b2obobob
o2bo5bo2b5obobo2bo2b4obo2b2o5bo2b4o3bob2o3bo22b5o2bo2bo2b2o4b5o4bob5ob
3obobo4bobo3b2o6bo3bo5b3obobobobob5ob2o3b2o3bo2bo2b7o5b4ob2o$58bobob2o
3bo2bob2o6bobob2obob2ob2o2b3o2bobo2b2o3bo2bob4obob4o2b2o2b3obo2bo2bob
2obo4b2ob2o2b3obobo2b2o19b2obobo2bo2b2obo2b2o2bobob2o2bo4bo2b2ob2o9bo
3bo2bobobobo2b3o2b2o7b3o2b2ob2obo5b3o3b7o2b6o2b2o$59b2obob5obob2o2b2o
3bo5b3obo2bobo2b2obo3b2o2b2o2b3o2bob5obob5o2bo2bo3b2obobobob5o2b2o2bo
4bobo19b2o2bob2ob4ob2ob2obo2b3o2bo2b2o2bo3bobob3o2bo2bob2ob6obo2b2o2bo
b2ob2o2b2o3bob3o2bobobob4o2bo2b2obob2o3b2obobob2o$58b3o2bo3bo2b2o2b6o
2b4o2b3obo2b5obobob2obo2bo2b2o2b3o2bo4b3o5bo2bo2b2obobob2o4bo2bob2o2b
2ob4o19b2o3b4o6b3obo6b2ob2ob2ob2o3b2ob3obobob2ob2obo3bo3b5obob2o3bob2o
2bo2b2ob2obob4o2bob2ob3obo2bob3obobob2o$58b3obo2b3o2bobo3b3obo2b5ob2ob
ob7ob2obo4b2ob2o2bob2o6b7o2b3ob2o2bobo3b5obo2b3o2b6o21bo2b6obob2ob3obo
4b3o3bob2obobo4bobobo2b3obo3bobobob3obo2bo3bob2obo5b2obobo2b4obo4b2obo
4bo2b3ob3obo$58b2o2bo2bobo3b2o2bobo3b3obob5ob2obobo2bobo2b2o2b2obobo2b
o6b3o6bo2bobobo2b2o2b3o2b4ob3ob4o3b2o23bo4b2obo5b2o4bo2b7o4bo2bo2b2o2b
5ob6o2bob2obob3obobobobo3bob10obobo2b4o4bo2b4o2b4o2bo$58b2ob5obo2b3o2b
3obo4b2ob4ob2o4b3o2bobob2obo2b3ob2o3b3o3bo2bo2bo2bo3b3o3bo2bob3obo2bob
o4bobobo19b6ob5o7bob2o2b3ob2o2b2o3bo4b4obob9obob2obo2bobo2bob4obo2b2o
5bobob3o2b2obobo6bo2bob2obo3b2o$60bo3b2o2b2o2b2ob2ob2ob2obo2bo5bob2ob
3o2b4o6b3ob4obo2b2obobobo4b2o7bobo2b2ob2ob5o2bo2bobo20b4ob6ob2obobob2o
bobo3b4o3b3ob3o5b4o4bo3b5o2bo4bobo2b2o6b2ob3o5b2o2bobo2b5o4bob3o2b2ob
2o$59b2ob5ob3o2bo2b3o2bob2ob3obo3bob2ob2o2bobob3o3bobo4b2o2bobo6b3o2bo
6b2ob2o6b4ob2o3bo2bo22b3o2b2o5bob2obo6bo4b4ob2obob2o2bobobob2o2b2ob2o
4b2o4b2obobobob2ob2o4bobo3b4o3bo3b3o3b3ob4o4bo$58b3ob4o5b2o4bo3bobo2bo
bob3o3bob2o2bo2b4o3b2o2b2o2b2obo3bo5b5ob2obob2o2bob3ob2obobo3bo2bobobo
22b3obo2bo7bo3b2ob2ob2o3b2o2b2o2b3o2b5obo4bo3bo4b3ob2obo5b2o6b3o2b3ob
2o2b2o2b5ob3obo2bobobo2bo$65b2o4bobo2bo4bobo2b7o2b2o2b9o2bo9b7obo2bobo
bo2bo2b2o2bo2bobo2b2o2bo3bobo2bobo21b2o3bob2o3b2obo2b2obo7bo3bo2bobo7b
o2bo2b2o2b2obo8b2obo2bo2b7obob2o2bob2o3bo3bo2bobo4bo5bobo2bo$58bob2o2b
ob2obo2bobob6o3b3o2bobob5o2b3ob3o4bobo5b3o2bo3b2o3b2o2bo2b2ob2o2bo3bob
2o2b2ob2o2bo3bo21b2obo2bobo3b3obobo5b5ob5obobo4b2ob2ob7obobo3bo7b2obo
7b2obo3b3o3bob2obo3b2o5bo7b2o2bo$58b6obob2o3b2o2b4obo3b4ob2ob2o3b3o2b
3obobo2bo2b2obo3bo3bo3b2obo3bob2o2b3o5b5obo2bob2o3bo22b6ob2o2bobo6bo3b
3o3bob3ob3o3b2ob2o2b2obo3b4ob3ob2o3b4o4bob2ob4obobo4b2ob2o2b5o3b3o2bob
o3b3o$59b2ob3obo6bo3b2obob2obo2bo5b3ob3ob2obob2ob2o3bobob8ob2o2b3o2bo
4b2ob2o2bo3bob5ob2ob2o3b2o19b5o3b4ob2o2bobobobob4ob4ob4ob5o3b2o2bo2bob
o3b8obob2obo3bob3ob4ob2ob2obo2b3o2b2ob2ob2obob2ob3obo$60b5o2b3obob3ob
3obo2bo2bobo2bo2b4obo2b2o5bob2ob3o2bob4obo3bobob7ob3o2bob4o5b3o2b3o24b
ob4obobo2b2o3b5o3bob2ob2ob3obo6b2ob2ob3o2b5o5bobob3o2bo3b2obo3bo2bo3b
3ob7ob8o2b2o$192b2obob2o3b3o4b2o2bo6b2o2b3obo4b2o3b2ob2obo3bob5o3b2o2b
5o3b6o5bo2bobobo2bo5bobob3o2bobo4bo$191bo4b5o4b3o2bob3o2b2ob3o2b2o3bob
3ob3obo3b3o6bobobob2ob3o4b3obobobobobobobobo2bo2bo3bo3b2ob2o3b3o$190b
2o2bo2b2o2b4obo2b3o4bo2bob2ob5o2bo3bo3bo2bo5b4ob2o2b2o4bob3ob2obobob4o
3b3obob2obobo2b2ob3ob2obobo2b2o$191bobo3b4obobob2obo6b7ob2o2bob5o2b3ob
2ob4o5b2o4b7obo5bo2bobobobob4ob2o4bo2bob2ob2o2bobobo$190b2obo2bobo2bob
2ob4ob2obo5b3ob5obob3obob2obo2bo2bo3bo2b2obo4b3o2bobobobo2bo3bobo4b2o
2bob2o3bo9b4ob2o$190bobobo4bob2obo2b2obo3b2o3b2o3bo7b2obobobo2b3o2b3ob
o3bo2bo2bobo2b2ob2o2b2ob2ob3o3bob2o2b2o2bo7bo3bo3b4o!

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praosylen
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Re: Thread For Your Useless Discoveries

Post by praosylen » June 16th, 2017, 4:40 pm

muzik wrote:
A for awesome wrote:By the way, these patterns must all be still lives in bounded B01245678/S0145678 with an always-off boundary.
When I try that, the patterns just tend to die off without showing any stilllifeesque behaviour.
That's because Golly is simulating a different rule in that case: B56/S5. As far as I know, Golly cannot simulate B01245678/S0145678 correctly.
former username: A for Awesome
praosylen#5847 (Discord)

The only decision I made was made
of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...

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muzik
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Re: Thread For Your Useless Discoveries

Post by muzik » June 16th, 2017, 4:59 pm

Turns out that the rule that I came up with is less of a self-inverters only and more of a "patterns whose initial cells die out instantly, but may still give birth to new cells", since these showed up via manual soul searching:

Code: Select all

x = 37, y = 16, rule = B/S014578
21bob3ob3o$21bo2bob2obo3b2o$22bob2ob2o6bo$21bob5obobob2o$21bo2bob2obob
o3b2o$21bob3o5bo3bo$22bobo3bob2obob2o$22b2ob8obobo$21b11o$8b2o12bob3ob
2ob5o$7b4o11b2obo3bob6o$2b2o3b4o3b2o5bo4bob3obo$b4o3b2o3b4o9b2o3bo4bo$
5o2b4o2b4o5b5o2b2obobo$4o3b4o2b4o4b2o2b4obo2bo2bo$b2o5b2o4b2o5bob3o3bo
3bo2bo!
Such behaviour is clear to see:

Code: Select all

x = 28, y = 7, rule = B3/S23
8b2o$7b4o$2b2o3b4o3b2o3bo$b4o3b2o3b4o3b2o$5o2b4o2b4o3b4o$4o3b4o2b4o4bo
5bo$b2o5b2o4b2o4bo5bo!
Anyways, someone get apgsearch to run this rule (I won't have access to a computer for a good while) and see if anything new appears.

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gmc_nxtman
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Re: Thread For Your Useless Discoveries

Post by gmc_nxtman » June 16th, 2017, 7:00 pm

dvgrn wrote:Don't give up on it too soon! It may be true that it doesn't fit with anything useful, but it certainly can be made to fit something:

Code: Select all

...
Actually this seems like a very nice simple adjustable stop-and-restart Herschel circuit -- lots of open space.
Yeah, it's more likely to be made into something like that than a standard conduit.

Moving the beehive causes the beehive to become transparent instead of the block:

Code: Select all

x = 26, y = 7, rule = LifeHistory
6.2A$A.A2.A2.A7.A.A$.2A3.2A9.2A4.2C$.A15.A4.C2.C$23.2C$2.2C14.2A$2.2C
14.2A!

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muzik
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Location: Scotland

Re: Thread For Your Useless Discoveries

Post by muzik » June 17th, 2017, 7:32 pm

Possible method to hassle a butterfly:

Code: Select all

x = 13, y = 13, rule = B3/S23
9bo$9bo$9bo$10b3o2$5b3o$5b3o$6bo2$3o$3bo$3bo$3bo!

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