Still Life Synthesis Thread

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
Chris857
Posts: 780
Joined: June 10th, 2020, 11:26 pm

Re: Still Life Synthesis Thread

Post by Chris857 »

MathAndCode wrote: October 17th, 2026, 6:05 am I feel like the one on the very right is probably improvable. Inserting that B-sequence seems like it should be possible with fewer than four gliders.
done

Code: Select all

x = 95, y = 105, rule = B3/S23
86bobo$86b2o$87bo2$8bo$9b2o$8b2o2$92bo$92bobo$11bo80b2o$obo6bobo$b2o7b
2o$bo26$55b2o$55b2o6$52b2o$52b2o40$15b2o$6bo7bobo$6b2o8bo$5bobo2$2o$b
2o7b3o$o11bo$11bo3$86b2o$86bobo$86bo$90b3o$4b2o84bo$3bobo85bo$5bo!
MathAndCode
Posts: 5284
Joined: August 31st, 2020, 5:58 pm

Re: Still Life Synthesis Thread

Post by MathAndCode »

MathAndCode wrote: October 20th, 2026, 10:32 pmI did my usual (improvement, staging, and finding fast components).

Code: Select all

x = 828, y = 503, rule = B3/S23
257bo$255b2o$256b2o6$51bo$51bobo$51b2o$362bo$360bobo$361b2o22$617bo$617b
obo$617b2o4$213bo$212bobo$212bobo$213bo$608bo$208b2o7b2o189b2o198bo$207b
o2bo5bo2bo187bo2bo197bo$208b2o7b2o161bo27b2o$381bo$213bo165b3o31bo191b
2o2b2ob2o$212bobo197bobo189bob4ob2obo$bo199bo10bobo186bo10bobo189bo9b
o$obo197bobo10bo186bobo10bo191b9o$obo197bobo197bobo208bo$bo199bo199bo
205b2o$607b2o$7b2o198b2o198b2o$7b2o198b2o198b2o15$378b3o$380bo$371b3o
5bo$373bo$372bo9$49b3o$49bo$50bo123$362bo$360bobo$361b2o10$451bo$450b
o$450b3o10$617bo$617bobo$617b2o8$608bo$408b2o198bo$407bo2bo197bo$380b
o27b2o$381bo$379b3o31bo191b2o2b2ob2o$412bobo189bob4ob2obo$401bo10bobo
189bo9bo$400bobo10bo191b9o$400bobo208bo$401bo205b2o$607bobo$407b2o199b
o$407b2o15$378b3o$380bo$371b3o5bo$373bo$372bo20$383b2o$382bobo$384bo112$
362bo$360bobo$361b2o13$449bo$448bo$448b3o7$452bo164bo$450b2o165bobo$451b
2o164b2o8$608bo$408b2o198bo$407bo2bo197bo$380bo27b2o$381bo$379b3o31bo
191b2o2b2ob2o191b2o2b2ob2o$412bobo189bob4ob2obo189bob4ob2obo$401bo10b
obo189bo9bo189bo9bo$400bobo10bo191b9o191b9o$400bobo208bo199bo$401bo205b
2o198b2o$607bobo197bobo$407b2o200bo199bo$407b2o199bo199bo$608b2o198b2o
8$615b2o198b2o$614bo2bo196bo2bo$614bo2bo196bo2bo$615b2o198b2o3$378b3o
$380bo$371b3o5bo$373bo$372bo3$825b2o$825bobo$825bo18$449b2o$449bobo$449b
o!
I had ideas for additional fast components.

Code: Select all

x = 59, y = 102, rule = B3/S23
7b2o$6bo2bo$5bo3bo$3bobo$3bobo6bo$4b5o2bobo$8bo2bobo$2o3b4o3bo$3o5bo$
b2o2bo2b2o$5bo2bo2$9bo5bo$9bo3bo$9bo3bo$13bo$13bo$13b2o22$50b2o$49bo2b
o$48bo3bo$46bobo$46bobo6bo$47b5o2bobo$51bo2bobo$43b2o3b4o3bo$43b3o5bo
$44b2o2bo2b2o$48bo2bo2$52bo$52bo$52bo3b2o$55b3o$54bo$55bo$57bo$54b2ob
2o$57bo$57b2o20$13b2o$12bo2bo$11bo3bo$9bobo$9bobo6bo$10b5o2bobo$14bo2b
obo$6b2o3b4o3bo$6b3o5bo$7b2o2bo2b2o$11bo2bo2$15bo$15bo$6bo8bo3b2o$5b2o
2b2o7b3o$10b2o5bo$8bobo7bo5bo$9bo14b3o$7bo8b5o4bo$15bo5b2o3b2o$14bo2b
obo!
I found some more fast components.

Code: Select all

x = 820, y = 303, rule = B3/S23
257bo$255b2o$256b2o6$51bo$51bobo$51b2o$362bo$360bobo$361b2o7$452bo$451b
o$451b3o4bo$456b2o$457b2o11$617bo$617bobo$617b2o4$213bo$212bobo$212bo
bo$213bo$608bo$208b2o7b2o189b2o198bo$207bo2bo5bo2bo187bo2bo197bo$208b
2o7b2o161bo27b2o$381bo$213bo165b3o31bo191b2o2b2ob2o191b2o2b2ob2o$212b
obo197bobo189bob4ob2obo189bob4ob2obo$bo199bo10bobo186bo10bobo189bo9bo
189bo9bo$obo197bobo10bo186bobo10bo191b9o191b9o$obo197bobo197bobo208bo
199bo$bo199bo199bo205b2o198b2o$607bobo197bobo$7b2o198b2o198b2o199bo3b
2o194bo3b2o$7b2o198b2o198b2o200b4obo194b4obo$614bo199bo$611b3o197b3o$
611bo199bo$618bo199bo$617bobo197bobo$616bo2bo196bo2bo$617b2o198b2o7$804b
3o$378b3o425bo$380bo424bo$371b3o5bo$373bo$372bo9$49b3o$49bo$50bo11$450b
3o$450bo$451bo110$362bo$360bobo$361b2o11$454bo$453bo$453b3o9$617bo$617b
obo$617b2o8$608bo$408b2o198bo$407bo2bo197bo$380bo27b2o$381bo$379b3o31b
o191b2o2b2ob2o$412bobo189bob4ob2obo$401bo10bobo189bo9bo$400bobo10bo191b
9o$400bobo208bo$401bo205b2o$607bobo$407b2o199bobo$407b2o200bo15$378b3o
$380bo$371b3o5bo$373bo$372bo16$452b3o$452bo$453bo5$455b2o$454b2o$456b
o!
Also, that three-glider collision that makes a half middleweight spark might be useful for other syntheses.

Code: Select all

x = 5, y = 19, rule = B3/S23
2bo$bo$b3o7$3o$o$bo5$3b2o$2b2o$4bo!
I am tentatively considering myself back.
User avatar
KtT
Posts: 623
Joined: December 17th, 2022, 9:29 am

Re: Still Life Synthesis Thread

Post by KtT »

Quadri-Snark in 62G:

Code: Select all

x = 1227, y = 80, rule = B3/S23
1183bo$1184bo$1182b3o40bo$1224bo$1224b3o$1185bo$1186b2o$713bo460bobo8b
2o$712bo392bo69b2o$712b3o388bobo69bo$717bobo384b2o35bo$717b2o421bo$718b
o421b3o$661bo$662b2o$661b2o$668bo$666bobo115bobo102bo$667b2o115b2o104b
o$785bo102b3o$502bo248bo$503bo248bo67bobo$265bo235b3o246b3o68b2o$264b
o556bo$4bo222bo36b3o107bobo163bo$5b2o221bo146b2o163bobo$4b2o82bo137b3o
146bo164b2o$86bobo281bo203bo455bobo$87b2o279bobo204b2o387bobo64b2o$369b
2o203b2o378bobo8b2o64bo$955b2o8bo68bo$88bo866bo79b2o$89bo944b2o$87b3o
342bo$433bo768b2o$431b3o769bo$623bobo147b2o72b2o64b2o68b2o4b2o59b2o4b
2o64b2o4b2o72bo5b2o$623b2o3bobo143bo73bo65bo68b2o5bo59b2o5bo64b2o5bo72b
2o5bo$299bo324bo3b2o144bob2o70bob2o62bob2o72bob2o63bob2o68bob2o76bob2o
$297bobo329bo141b2obo2bo67b2obo2bo59b2obo2bo65b2o2b2obo2bo56b2o2b2obo
2bo61b2o2b2obo2bo69b2o2b2obo2bo$298b2o471b2ob2o68bobob2o62bob2o67b2o3b
ob2o58b2o3bob2o63b2o3bob2o71b2o3bob2o$845bo66bo75bo66bo71bo79bo$911b2o
74b2o65b2o70b2o78b2o$600b2o96b2o78b2o72b2o64b2o74b2o65b2o70b2o78b2o$600b
obo95bobo77bobo71bobo63bobo73bobo64bobo69bobo77bobo$320bobo70bobo58bo
69bo77bo97bo79bo73bo65bo75bo66bo41b2o28bo79bo$110b2ob2o68b2ob2o64b2ob
2o63b2obob2o66b2obob2o53bobob2o64bobob2o73bob2o94bob2o76bob2o70bob2o62b
ob2o72bob2o63bob2o37bobo28bob2o76bob2o$111bobo70bobo66bobo67bobo70bob
o54bobobo65bobobo71b2obobo92b2obobo74b2obobo68b2obobo60b2obobo70b2obo
bo61b2obobo40bo18b2o5b2obobo67b2o5b2obobo$111bobo67bo2bobo62b2o2bobo64b
2obobo67b2obobo53b2obobo64b2obobo71b2obobo92b2obobo74b2obobo68b2obobo
60b2obobo70b2obobo61b2obobo59b2o5b2obobo67b2o5b2obobo$110b2ob2o65bobo
bob2o60bo2bobob2o62bobobob2o67bobob2o53bobob2o66bob2o73bob2o94bob2o76b
ob2o70bob2o62bob2o72bob2o63bob2o68bob2o76bob2o$111bo2bo66bo2bo2bo61b2o
2bo2bo63bo2bo2bo67bobo2bo53bobo2bo63b4o2bo70b4o2bo91b4o2bo73b4o2bo67b
4o2bo59b4o2bo69b4o2bo44b2o14b4o2bo31b2o16b2o14b4o2bo57b2o14b4o2bo$111b
obo70bobo66bobo67bobo67b2obobo53b2obobo64bo3b2o71bo3b2o92bo3b2o74bo3b
2o68bo3b2o60bo3b2o70bo3b2o44bobo14bo3b2o31bobo15bobo14bo3b2o57bobo14b
o3b2o$112bo72bo68bo69bo72bo58bo66b3o74b3o96b2o78b2o72b2o64b2o74b2o46b
o18b2o35bo15bo18b2o59bo18b2o$525bo76bo97bo79bo73bo65bo75bo45b2o19bo50b
2o19bo58b2o19bo$698bo79bo73bo65bo75bo66bo71bo40b3o36bo$698b2o78b2o72b
2o64b2o74b2o65b2o70b2o41bo36b2o$1175bo$751bo136b3o$502b3o246b2o137bo$
504bo166b3o76bobo136bo283b2o$230bo272bo169bo143b2o355b2o$230b2o440bo145b
2o353bo$2b3o224bobo585bo5b3o$4bo367b2o451bo$3bo155b2o212b2o449bo$158b
obo211bo587b3o$bo158bo801bo$b2o570b3o385bo$obo191b2o379bo$52b2o68bo70b
2o140b2o237bo35b2o423bo$51b2o68b2o72bo139bobo272bobo422b2o$53bo30b3o34b
obo211bo132b3o139bo423bobo$5bo80bo39b2o304bo35bo$5b2o78bo39b2o305b2o35b
o$4bobo120bo303bobo145b2o$578bobo$580bo$625bo$624b2o$624bobo!
Tremi-Snark in 41G:

Code: Select all

x = 178, y = 51, rule = B3/S23
4bo$2bobo$3b2o4$141bobo$75bobo64b2o$65bobo8b2o64bo$66b2o8bo68bo$66bo79b
2o$145b2o6$99bo66bo$97b3o64b3o$96bo66bo$96b2o65b2o2$29b2o74b2o65b2o$29b
obo73bobo64bobo$31bo75bo66bo$31bob2o72bob2o63bob2o$28b2obobo70b2obobo
61b2obobo$28b2obobo70b2obobo61b2obobo$31bob2o72bob2o63bob2o$28b4o2bo69b
4o2bo44b2o14b4o2bo$28bo3b2o70bo3b2o44bobo14bo3b2o$30b2o74b2o46bo18b2o
$31bo75bo45b2o19bo$29bo75bo66bo$29b2o74b2o65b2o3$bo$b2o$obo5$71b3o$73b
o$72bo2$146bo$146b2o$145bobo!
WhiteHawk
Posts: 1488
Joined: July 10th, 2024, 5:34 pm

Re: Still Life Synthesis Thread

Post by WhiteHawk »

KtT wrote: October 22nd, 2026, 11:01 am Quadri-Snark in 62G:
I guess that actually is the carrier-based quadri-snark in 62, the snake quadri-snark is 56 gliders
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
Chris857
Posts: 780
Joined: June 10th, 2020, 11:26 pm

Re: Still Life Synthesis Thread

Post by Chris857 »

Base reaction was posted to discord, but xs32_gg0gs2dhm4koz12268b43 in 14G

Code: Select all

x = 364, y = 104, rule = B3/S23
239bobo$239b2o$240bo14$146bo$147bo$145b3o6$o214bobo$b2o212b2o$2o214bo
4$3bo69bo$bobo67b2o$2b2o68b2o2$26bo149bo$25bobo147bobo$25bobo147bobo$
26bo149bo3$31bo149bo136bo$30bobo147bobo136bo$30bobo147bobo134b3o$31bo
149bo$340b2o$340bobo$342bo$340bob2o$338b3o3bo$337bo3b2obo7b3o$326b3o7b
ob2o3bo$336bo3b3o$337b2obo$338bo$338bobo$339b2o2$361b3o$361bo$362bo$183b
o$182bobo$182bobo$183bo3$188bo$187bobo$187bobo$188bo8$148bo$148b2o$147b
obo6$217b3o$217bo$218bo14$124bo$124b2o$123bobo!
MathAndCode
Posts: 5284
Joined: August 31st, 2020, 5:58 pm

Re: Still Life Synthesis Thread

Post by MathAndCode »

The syringe weld can be cheapened by one glider by making a hook with a glider and a blinker instead of with a glider and an LWSS.

Code: Select all

x = 1324, y = 60, rule = B3/S23
1137bo$1135b2o$1136b2o2$1096bo$1097b2o$1096b2o2$1086bobo3bo$1087b2o4b
2o42bo$1087bo4b2o41b2o$1136b2o4$1141bo$1142b2o$1141b2o$142bo$142bobo683b
o328bo$142b2o684bobo324b2o$828b2o189bo136b2o$710bo105bo200bobo$708bob
o103bobo96bobo102b2o$709b2o104b2o97b2o$914bo$626bo$409bo214b2o$410b2o
206bo6b2o294b2o$132bo276b2o205bobo98b2o201bo2bo$130b2o485b2o3bo93bobo
202b2o$obo128b2o174bo98b2o213bo94b2o$b2o102bo202b2o95bobo213b3o396bo99b
o93b2obo96b2obo$bo102bobo200b2o98bo311b2o98b2o98b2o98bobo97bobob3o88b
2ob3o94b2ob3o$103bo2bo94b2o517bo99bo99bo99bo99bo30b3o66bo99bo$104b2o95b
2o10b2ob2o95b2ob2o95b2ob2o96b2obo9bo86b2obo96b2ob3o94b2ob3o94b2ob3o94b
2ob3o94b2ob3o31bo62b2ob3o94b2ob3o$110bo103bob2o88bo7bob2o82bo13bob2o95b
o2b2o9bobo83bo2b2o95bo2b2o95bo2b2o95bo2b2o95bo2b2o95bo2b2o34bo60bo2b2o
95bo2b2o$5b2o103bo103bo91b2o6bo85b2o10bobo97bobo12b2o83bobo9b2o86bobo
97bobo97bobo97bobo97bobo97bobo97bobo$6b2o102bo101b2ob2obo86bobo4b2ob2o
bo80bobo9bobob2obo92bobob2obo92bobob2obo5bobo84bobob2obo92bobob2obo92b
obob2obo92bobob2obo92bobob2obo92bobob2obo92bobob2obo$5bo205bobobob2o92b
obobob2o92bobobob2o92bobobob2o93bo2bob2o5bo87bo2bob2o93bo2bob2o93bo2b
ob2o93bo2bob2o93bo2bob2o93bo2bob2o85bo7bo2bob2o$212bo99bo99bo99bo102b
o99bo99bo99bo99bo99bo99bo89bo9bo6bo$614b2o98b2o98b2o98b2o98b2o18bo79b
2o98b2o6bobo78b3o8b2o5bo$1033b2o187b2o92b2o3b3o$102b2o929bobo187bo83b
3o6bobo$101bobo1203bo9bo$103bo1204bo4b2o$213b2o1098bobo$213bobo1005bo
91bo6bo$213bo1007bobo95b2o$1207b2o12b2o96bobo$1208b2o$1207bo10b2o$1217b
obo$503b2o584b2o128bo$502bobo585b2o55b2o$504bo584bo56b2o$1148bo$522bo
$521b2o$521bobo!
There is also a version that uses a glider and a pond instead of a glider and a blinker.

Code: Select all

x = 1324, y = 60, rule = B3/S23
1137bo$1135b2o$1136b2o2$1096bo$1097b2o$1096b2o2$1086bobo3bo$1087b2o4b
2o42bo$1087bo4b2o41b2o$1136b2o4$1141bo$1142b2o$1141b2o$142bo$142bobo683b
o328bo$142b2o684bobo324b2o$828b2o189bo136b2o$710bo105bo200bobo$708bob
o103bobo96bobo102b2o$709b2o104b2o97b2o$914bo$626bo$409bo214b2o$410b2o
206bo6b2o294b2o$132bo276b2o205bobo98b2o201bo2bo$130b2o485b2o3bo93bobo
202b2o$obo128b2o174bo98b2o213bo94b2o$b2o102bo202b2o95bobo213b3o396bo99b
o93b2obo96b2obo$bo102bobo200b2o98bo311b2o98b2o98b2o98bobo97bobo3b2o87b
2ob3o94b2ob3o$103bo2bo94b2o517bo99bo99bo99bo99bo3bo2bo23b3o66bo99bo$104b
2o95b2o10b2ob2o95b2ob2o95b2ob2o96b2obo9bo86b2obo96b2ob3o94b2ob3o94b2o
b3o94b2ob3o94b2ob3o4bo2bo23bo62b2ob3o94b2ob3o$110bo103bob2o88bo7bob2o
82bo13bob2o95bo2b2o9bobo83bo2b2o95bo2b2o95bo2b2o95bo2b2o95bo2b2o95bo2b
2o7b2o25bo60bo2b2o95bo2b2o$5b2o103bo103bo91b2o6bo85b2o10bobo97bobo12b
2o83bobo9b2o86bobo97bobo97bobo97bobo97bobo97bobo97bobo$6b2o102bo101b2o
b2obo86bobo4b2ob2obo80bobo9bobob2obo92bobob2obo92bobob2obo5bobo84bobo
b2obo92bobob2obo92bobob2obo92bobob2obo92bobob2obo92bobob2obo92bobob2o
bo$5bo205bobobob2o92bobobob2o92bobobob2o92bobobob2o93bo2bob2o5bo87bo2b
ob2o93bo2bob2o93bo2bob2o93bo2bob2o93bo2bob2o93bo2bob2o85bo7bo2bob2o$212b
o99bo99bo99bo102bo99bo99bo99bo99bo99bo99bo89bo9bo6bo$614b2o98b2o98b2o
98b2o98b2o18bo79b2o98b2o6bobo78b3o8b2o5bo$1033b2o187b2o92b2o3b3o$102b
2o929bobo187bo83b3o6bobo$101bobo1203bo9bo$103bo1204bo4b2o$213b2o1098b
obo$213bobo1005bo91bo6bo$213bo1007bobo95b2o$1207b2o12b2o96bobo$1208b2o
$1149b2o56bo10b2o$1148b2o67bobo$503b2o584b2o59bo68bo$502bobo585b2o$504b
o584bo2$522bo$521b2o$521bobo!
For reference, here is the synthesis that Catagolue had. (It's also less staged than my version.)

Code: Select all

x = 586, y = 59, rule = B3/S23
452bo$450b2o$451b2o2$411bo$412b2o$411b2o2$401bobo3bo$402b2o4b2o42bo$402b
o4b2o41b2o$451b2o4$456bo$457b2o$456b2o2$472bo$470b2o$471b2o$101bo$101b
obo265bo$101b2o258bo6bo$359bobo6b3o111bo$285bo33bo40b2o3bo114bobo$188b
o94b2o32bobo46bo114b2o$189b2o86bo6b2o32b2o44b3o$188b2o85bobo44b2o160b
o$276b2o3bo39bobo160bobo$136bo48b2o93bo40b2o161b2o$68bo68b2o45bobo93b
3o152bo44b2o42b2obo48b2obo$2bo64bobo21bo44b2o48bo137b2o38b2o68bobo42b
2o43b2ob3o46b2ob3o$obo63bo2bo19b2o234bo39bo69bo30b3o12bo48bo51bo$b2o2b
3o59b2o21b2o50b2ob2o45b2ob2o35b2obo37b2obo42b2ob3o34b2ob3o64b2ob3o31b
o57b2ob3o46b2ob3o$7bo65bo61bo7bob2o32bo13bob2o34bo2b2o36bo2b2o41bo2b2o
35bo2b2o65bo2b2o34bo55bo2b2o47bo2b2o$6bo66bo61b2o6bo35b2o10bobo36bobo
38bobo9b2o32bobo37bobo67bobo92bobo49bobo$73bo60bobo4b2ob2obo30bobo9bo
bob2obo31bobob2obo33bobob2obo5bobo30bobob2obo32bobob2obo62bobob2obo87b
obob2obo44bobob2obo$69b2o69bobobob2o42bobobob2o31bobobob2o34bo2bob2o5b
o33bo2bob2o33bo2bob2o63bo2bob2o88bo2bob2o37bo7bo2bob2o$68bobo70bo49bo
38bo43bo45bo39bo69bo94bo41bo9bo6bo$70bo202b2o44b2o38b2o68b2o93b2o6bob
o30b3o8b2o5bo$532b2o44b2o3b3o$237bo295bo35b3o6bobo$237bobo329bo9bo$229b
2o6b2o331bo4b2o$228bobo344bobo$230bo300bo43bo6bo$531bobo47b2o$232bo284b
2o12b2o48bobo$231b2o285b2o$231bobo283bo10b2o$527bobo$404b2o54bo68bo$405b
2o52b2o$404bo54bobo$39b2o$38bobo$40bo!


Edit: The step that I changed has a potential variant, which leaves an extra tail (on the hat motif).

Code: Select all

x = 22, y = 22, rule = B3/S23
10bo$9bobo$9bo2$10bo3bo$9bo6bo$9b2o$11bo4bo$o6b2o3b4o$b2o2bo2b2o$2o4b
o3bo$7b3o$3bo5bo3bo3bobo$3b2o7bobo2bo$2bobo8bo3bo3bo$7b2ob3o4bo$6bo2b
2o7bob2o$5bobo$4bobob2obo8bo$5bo2bob2o$8bo$7b2o!
However, I'm not sure how feasible getting the region in would be since dodging the remaining LWSS still is necessary (unless, of course, someone finds a workaround for that).
I am tentatively considering myself back.
Post Reply