BobShemyakin wrote:I found 8-glider synthesis another quad-loaf with suppress the outer bi-loaves:
mniemiec wrote:Cute! I'm sure this could easily be adapted to a 7-glider three-loaf version.
This one is new, although the mechanism for welding loaves together has been known for a long time. Dave Buckingham synthesized the original quad-loaf from two loaves from 6 gliders. By using a loaf on one side, one can get an L-shaped tri-loaf (using your 4-glider bi-loaf or Buckingham's 3-glider one). One can also combine a loaf or bi-loaf with Dean Hickerson's tri-loaf to get yet another quad-loaf and a penta-loaf. Two tri-loafs can also be combined, by using a slightly more expensive blinker to make the butterfly predecessor from 5 gliders rather than 4 (it's also likely that a suitable 4-glider butterfly predecessor exists somewhere).
Code: Select all
x = 263, y = 178, rule = B3/S23
130bo$30bo97bobo$31boo96boo$30boo$126bo7bo$28bo5bo92boo5bobo$29bobboo
43bo48boo6boo31bo$27b3o3boo41bobo87bobo$21bo54bobbo86bobbo$22bo51boob
oo85booboo$20b3o50bobbo43bo42bobbo$74bobo44bo42bobo$23boo50boboo40b3o
43boboo$24boo50bobbo43boo41bobbo$23bo3boo48bobo42boo5bo37bobo$26boo50b
o45bobboo39bo$28bo99boo$$19boo$20boo$19bo18$133bo$131boo$132boo$36bo$
34boo88bo$35boo88boo37bo$124boo3bo33bobo$27bo99boo34bobbo$28boo47bo50b
oo34boobo$27boo3bo43bobo87bobo$21bo8boo44bobbo41bo8b3o33bobbo$22bo8boo
41booboobo41bo7bo33booboo$20b3o50bobbobbobo38b3o8bo31bobbo$33b3o38bobo
bbobbo81bobo$23boo8bo41bobooboo41boo40boboo$24boo8bo41bobbo44boo40bobb
o$23bo3boo48bobo43bo3boo38bobo$26boo50bo47boo40bo$28bo99bo$$19boo98boo
$20boo98boo$19bo99bo10$18bobo125bobo$19boo125boo$19bo127bo$$17bo26bobo
68bobo$15bobo26boo70boo$16boo27bo70bo25bobo$142boo$143bo7$19bo99bo$20b
o56bo42bo46bo$18b3o55bobo39b3o45bobo$22bo53bobbo42bo43bobbo$22bobo49b
ooboo43bobo39booboobo$22boo49bobbo45boo39bobbobbobo$74bobo87bobobbobbo
$27bo47boboo48bo37bobooboo$26bobo47bobbo46bobo37bobbo$11bo14bobbo47bob
o31bo14bobbo37bobo$9bobo15boo49boboo27bobo15boo39boboo$10boo67bobbo27b
oo57bobbo$32bo47bobo49bo37bobo$12b3o16bo49bo30b3o16bo39bo$14bo16b3o80b
o16b3o$13bo99bo$34boo98boo$34bobo97bobo8boo$34bo99bo10bobo$145bo3$22b
oo98boo$21bobo97bobo$23bo99bo$25b3o97b3o$25bo99bo$26bo99bo4$4b3o97b3o$
6bo99bo$5bo99bo3$237bo$237bobo$237boo$50bo99bo$50bobo97bobo$50boo98boo
64bo$217bo$215b3o$29bo99bo89bo$30bo99bo88bobo$28b3o97b3o88boo$32bo99bo
$32bobo97bobo$32boo98boo$208bo$206bobo$207boo$21bo99bo107bo$10bo8bobo
97bobo87b3o16bo$8bobo9boo98boo89bo16b3o20bo$9boo31bo99bo67bo39bobo$22b
3o16bo71bo8b3o16bo61bo27boo17bobbo$24bo16b3o30bo36bobo10bo16b3o20bo36b
obo10boo15bobo17boobo$15bo7bo49bobo36boo9bo39bobo36boo9bobbo14bo21bobo
$16bo27boo27bobbo67boo17bobbo47bobo36bobbo$14b3o10boo15bobo24booboobo
49boo15bobo17boobo47bo7boo29boobo$26bobbo14bo25bobbobbobo39bo7bobbo14b
o21bobo54boo31bobo$14b3o10bobo7bo33bobobbobbo39bo7bobo7bo28bobbo38boo
46bobbo$16bo7bo3bo7bo35bobooboobo36b3o8bo7bo27booboobo37boo13boo29boob
oo$15bo7bobo10b3o34bobbobbobo54b3o24bobbobbobo51boo28bobbo$8bo14bobbo
47bobobbobbo34b3o44bobobbobbo35boo44bobo$6bobo15boo10b3o36bobooboo37bo
7bo8b3o26bobooboo36boo7bo37boboo$7boo27bo39bobbo38bo7bobo7bo29bobbo46b
obo37bobbo$29bo7bo39bobo31bo14bobbo7bo29bobo31bo14bobbo9boo26bobo$9b3o
16bo49bo30bobo15boo39boboo27bobo15boo10bobo26boboo$11bo16b3o79boo57bo
bbo27boo27bo29bobbo$10bo31boo88bo9boo26bobo49bo37bobo$31boo9bobo67b3o
16bo10bobo26bo30b3o16bo39bo$31bobo8bo71bo16b3o8bo61bo16b3o$31bo81bo89b
o$134boo88boo$134bobo87bobo$134bo89bo$19boo$18bobo$20bo$22b3o97boo88b
oo$22bo98bobo87bobo$23bo99bo89bo$125b3o87b3o$125bo89bo$boo123bo89bo$ob
o$bbo$104boo88boo$103bobo87bobo$105bo89bo!
Extrementhusiast wrote:Also, Niemiec had made a comment that rerunning the expert system produced slightly different results. What were those different results? (In other words, which SLs should have been taken off the list, and which ones should have been put on?)
I am sorry this has taken so long. I have not had as much free time as I would have liked recently to devote to Life, so I am still catching up (for example, I have not yet assimilated your last update to the 17-bit still lifes (i.e. huge RLE with improvements to many), nor Bob Shemyakin's 6-glider still-lifes, nor even looked at any of the 18-bit still-life syntheses).
There are six irregularities in the hard 18-bit still-life list:
The following two objects had automatic solutions, so they should never have been on the list:
1) 18#146 (aka 18.817) is solvable from 33 gliders (based on 15.506 from 18)
2) 18#510 (aka 18.6770) is solvable from 33 gliders (based on 14.231 from 12)
The following object was on the list twice (I am not sure why):
3) 18#485 (aka 18.6644) is solvable from 12 gliders (based on 16.815 from 6)
4) 18#486 is the same object as 18#485
The following objects were not on the original list, but are on the list now. I am not sure why this is the case, but they can both be synthesized, so their omission from the original list is moot:
5) 18.6645 is trivially derived from 18.6644 with 2 extra gliders
6) 18.6652 is solvable from 24 gliders based on intermediary 18.6672 from 22 (based on 17#178 aka 17.1161 from 19)
The specific eater-head-to-hook converter I used above in 18.6644 and 18.6672 is fairly obvious, but was not on my converter list, so it may be new; it also solves around 0.05% of remaining unsolved larger still-lifes from 21-24 bits.
Code: Select all
x = 198, y = 116, rule = B3/S23
ooboo18boo15booboo10booboo15booboo15booboo$bobo18bobo16bobo12bobo17bob
o17bobo$bo3bo15bobbobo13bo3bo10bo3bo15bo3bo15bo3b3o$bb3oboboo10bo3boob
o13b3o12b3o17b3obbo14b3obbo$4boboobo10boo5bo16b3o12b3o17b3o17bo$24b3o
16bobbo11bobbo16bo19bo$24bo18boo13boo18boo18boo11$32bo$31bo$31b3o4$75b
obo$75boo$76bo$68bo$66bobo55bo$67boo10bo43bo$79bobobbo38b3o$ooboo35boo
boo15booboo14boobboo5booboo15booboo25booboo$bobo37bobo17bobo19bobo5bob
o17bobo27bobo$bo3bo35bo3bo15bo3bo25bo3bo3boo10bo3bo3boo20bo3bo$bb3obo
4boobboo25b3oboboo12b3oboboo22b3obobobo11b3obobobo5bo15b3oboboo$4bobo
5boobobo26boboboo14boboboo5boo17boboo16boboo8bobo15boboobo$5bo5bo3bo
29bo19bo8boo50boo$76bo46boo$122boo$124bo$$61bo9boo$61boo7boo$60bobo9bo
$$66bo$66boo$65bobo$72b3o$72bo$73bo101bo$174bo$174b3o3$172bo$172bobo$
61bobo108boo$61boo5bo$62bo5bobo$68boo$13boo8bobo7boo18boo8boo18boo5boo
11boo5boo21boo5boo21boo5boo4bo16boo$12bobo8boo7bobo17bobo8bobo16bobo5b
obo9bobo5bobo19bobo5bobo19bobo5bobo3bobo13bobo$11bobboboo6bo6bobboboo
13bobboboo5bo17bobboboo3bobo7bobboboo3bobo17bobboboo3bobo17bobboboo3bo
bobboo13bobbobo$10bo3boobo12bo3boobo12bo3boobo22bo3boobo4bo7bo3boobo4b
o17bo3boobo4bo17bo3boobo4bo17bo3boobo$10boo18boo18boo28boo18boo28boo
28boo28boo5bo$34b3o17b3o27b3o17b3o27b3o27b3o10bo16b3o$34bobbo16bobbo
26bobbo16bobbo26bobbo26bobbo8boo16bo$36boo18boo28boo18boo28boo3boo23b
oo3boo3bobo$141bobo27bobo$10boo8b3o119bo29bo$11boo7bo$10bo10bo143bo7b
oo$6bo115bo42boo6bobo$6boo7boo104bo42bobo6bo$5bobo7bobo103b3o$15bo101b
3o55bo$110b3o4bo56b3o$13boo97bo5bo55boboo$12bobo96bo63b3o$14bo160b3o$
175b3o$175boo7$13bo$14bo$12b3o$26bo$27bo$25b3o$29bo$29bobo$29boo$167bo
bo$168boo$168bo$40booboo15booboo15booboo35booboo8bobo4booboo15booboo6b
o8booboo$20booboo16bobo17bobo17bobo37bobobbo6boo6bobobbo14bobobbo3boo
9bobo$12boo6bo3bo15bo3bo15bo3bo15bo3bo35bo3b3o7bo5bo3b3o13bo3b3o3bobo
7bo3b3o$11bobo7b3o17b3o17b3o17b3obbo34b3o17b3o17b3o17b3obbo$13bo10b3o
7bo9b3o17b3o3bobo11b3o37bo19bo19bo19bo$23bobbo6boo8bobbo16bobbo3boo11b
o39boo18bo19bo19bo$23boo8bobo7boo18boo6bo11boo58boo18boo18boo$9b3o56bo
$11bo56boo$10bo56bobo$129boo$129bobo$129bo$125b3o$127bo$126bo!