19-bit still life syntheses

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
chris_c
Posts: 933
Joined: June 28th, 2014, 7:15 am

Re: 19-bit still life syntheses

Post by chris_c » November 18th, 2019, 3:51 pm

A hook flipping component in 6G. It solves at least one 19 bitter so maybe it is useful elsewhere:

Code: Select all

x = 19, y = 17, rule = B3/S23
4bo13bo$3bo12b2o$3b3o3bo7b2o$9bobo$2bo6b2o$obo$b2o11b2o$13b2o$15bo$6b
2o$6bobo$8bo5b2o$6bob2o3b2o$5bobo7bo$5bo2b4o$6bobo2bo$7bo!

User avatar
Goldtiger997
Posts: 560
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

Re: 19-bit still life syntheses

Post by Goldtiger997 » November 19th, 2019, 8:22 am

Unecessarily complex solution for xs19_64p7gci6zx121:

Code: Select all

x = 338, y = 38, rule = B3/S23
80bo$81b2o$80b2o223bo$303b2o$304b2o$286bo$287b2o$84bo201b2o$32bo52bo$
33bo49b3o194bo15bo$26bo4b3o14bo11bo220b2o12bo$27b2o17bobo9b2o220b2o13b
3o$26b2o19b2o3bo6b2o$51bo$51b3o46bobo72bobo$100b2o73b2o$95bobo3bo74bo
34bobo$28b2o66b2o76bo36b2o88bo$27bobo66bo76b2o37bo88bobo$b2o11bo14bo
11b2o39b2o38b2o5bo3b2o27b2o9bobo3b2o21b2o11bo26b2o38b2o17b2o19b2o11bob
o$o2bo9bo26bo2bo3bo32bo2bo36bo2bo4bobo2bobo24bo2bo2bo11b2o20bo2bo2bo3b
2o3bobo22bo2bo2bo33bo2bo2bo33bo2bo2bo8b2o$2obo9b3o24b2obo3bo32b2obob2o
bo31b2obob2o2bo3bo26b2obobobob2o9bo19b2obobobo3bo3b2o23b2obobobo32b2ob
obobo32b2obobobo8bo$2bo39bo4bo34bo2bob2o33bo2bob2o33bo2bob2obo31bo2bob
4o31bo2bob3o6bo25bo2bob3o32bo2bobo$2bobo37bobo37bobo37bobo37bobo37bobo
37bobo5bo4bo26bobo5bo31bobobo4bobo$3b2o6b2o30b2o38bo39bo7b2o30bo39bo5b
2o32bo5b2o4b3o25bo5bobo31bobo5b2o$11bobo117bobo74bo2bo78bo33bo7bo$11bo
51bo67bo77b2o123bo$62b2o61b3o38b2o44b3o38bo79b2o$62bobo62bo37bobo44bo
39b2o29bo49bobo$59bo66bo40bo45bo38bobo29bo$58b2o113b2o107b3o$58bobo
112bobo73b3o46b2o$173bo77bo28bo17bobo$53b3o194bo29b2o4bo11bo$53bo50b2o
173bobo3b2o$54bo25bo22b2o180bobo$80b2o23bo$79bobo!
It would be nice if someone could publish a list of the remaining xs19s sorted by appearances on catagolue so we have some sort of "hitlist" for 19-bitters to attempt next.

wildmyron
Posts: 1309
Joined: August 9th, 2013, 12:45 am

Re: 19-bit still life syntheses

Post by wildmyron » November 19th, 2019, 10:19 am

Goldtiger997 wrote:
November 19th, 2019, 8:22 am
It would be nice if someone could publish a list of the remaining xs19s sorted by appearances on catagolue so we have some sort of "hitlist" for 19-bitters to attempt next.
Current list of unsynthesized xs19s with at least one C1 soup:

Code: Select all

xs19_cahm4koz643 - 42
xs19_696o6iozw343 - 20
xs19_8kkb9aczx352 - 17
xs19_ca9e0mqz33 - 17
xs19_8kiajkczw343 - 16
xs19_c4jq2sgzx343 - 15
xs19_ciqjk4ozx641 - 15
xs19_354qik8z2552 - 13
xs19_8kkjhke13zx1 - 12
xs19_ca9e0dbz33 - 12
xs19_64k6picz0343 - 10
xs19_64pbaik8zx23 - 9
xs19_695mggkczw641 - 9
xs19_3lkaicz3452 - 8
xs19_35s25a8czx113 - 7
xs19_c4jq2kozx343 - 7
xs19_8kk6picz643 - 6
xs19_ca2bq2sgzx23 - 6
xs19_gs2ar9a4zw32 - 6
xs19_32qj8r9a4 - 5
xs19_8k9baik8zw123 - 4
xs19_amge1eozx311 - 4
xs19_caajkcz39c - 4
xs19_35s2kozx12453 - 3
xs19_4acg7piczw23 - 3
xs19_ok2t2koz0343 - 3
xs19_3pe0ok8z4a43 - 2
xs19_8k4r2pb8ozw1 - 2
xs19_ca2bq2kozx23 - 2
xs19_g8jd4koz1248c - 2
xs19_gs2pb8ozw346 - 2
xs19_jhe8gkcz1243 - 2
xs19_0ciabp46z321 - 1
xs19_0g886p3z320f9 - 1
xs19_0kc3pczc9521 - 1
xs19_2egdb88czx123 - 1
xs19_32qj8r54c - 1
xs19_32qj9q453 - 1
xs19_3586kicz3113 - 1
xs19_4a96kicz3213 - 1
xs19_69m88gzmq221 - 1
xs19_8kiqjkczw4a4 - 1
xs19_ca1bq2sgzx23 - 1
xs19_ca2jap3z311 - 1
xs19_caajkczbd - 1
xs19_cahe8gzbdw11 - 1
xs19_ci9m4kozx343 - 1
xs19_ciajk4ozw4701 - 1
xs19_cikmhbgzx641 - 1
xs19_g4cjaicz11074 - 1
xs19_gs2pd2kozx32 - 1
xs19_oe1u8zw1221e8 - 1
xs19_ojhke13z66 - 1
And here are the unsynthesized xs19s with no soups:

Code: Select all

xs19_03h4mik8z47011 - 0
xs19_03p68oz39c32 - 0
xs19_03p68ozcic32 - 0
xs19_03pc0ckz622611 - 0
xs19_08o69jz320f9 - 0
xs19_0c48c9jz641321 - 0
xs19_0c9jz4aa52ac - 0
xs19_0c9jz628n826 - 0
xs19_0c9jzca252ac - 0
xs19_0c9jzca25aa4 - 0
xs19_0c9jzcim926 - 0
xs19_0caajkcz3213 - 0
xs19_0cahe0dbz321 - 0
xs19_0cahe0mqz321 - 0
xs19_0db0gs26z3213 - 0
xs19_0dbgz628n826 - 0
xs19_0dbgzcim926 - 0
xs19_0gbdz638mic - 0
xs19_0gs2km93z1243 - 0
xs19_0gs2km96z1243 - 0
xs19_0j9a4oz320f9 - 0
xs19_0j9cz638mic - 0
xs19_0j9m4k8z34611 - 0
xs19_0m2cl3z1ad11 - 0
xs19_0o4iq453zdb - 0
xs19_0o4iqb8oz643 - 0
xs19_255q453z0bd - 0
xs19_255q8it246 - 0
xs19_25ao2t28czx121 - 0
xs19_25t2kozx12453 - 0
xs19_2eg6p5iczx121 - 0
xs19_31e80j9czw3121 - 0
xs19_31ekhjozx66 - 0
xs19_32138r9a4zx32 - 0
xs19_32138raa4zx32 - 0
xs19_32qk0og4czx343 - 0
xs19_32qk0oi6zx343 - 0
xs19_354cj9cz02521 - 0
xs19_354m9a4z6511 - 0
xs19_354q453z0bd - 0
xs19_354q552z0bd - 0
xs19_354qi4djo - 0
xs19_354qibp46 - 0
xs19_35s2di8czx121 - 0
xs19_35s2ib8ozx121 - 0
xs19_39c88gzx32cjo - 0
xs19_39m88gzmq221 - 0
xs19_3iakg4cz320146 - 0
xs19_3lkaik8z01243 - 0
xs19_3lkaik8zw343 - 0
xs19_3p68og4czw1226 - 0
xs19_3p68ozw122qm - 0
xs19_3pa32qkzw113 - 0
xs19_3pa4og4czw1226 - 0
xs19_3pa4ozw23c93 - 0
xs19_3pa4ozw23cic - 0
xs19_3pajkcz643 - 0
xs19_3pc0qmz0c93 - 0
xs19_3pc0qmz4a43 - 0
xs19_3pc0qmzwdb - 0
xs19_3pc0v18ozx121 - 0
xs19_3pm0ehla4 - 0
xs19_4a5la4z69611 - 0
xs19_4a9b8oz321e8 - 0
xs19_4a9bkk8z3213 - 0
xs19_4air94ozw6221 - 0
xs19_4ap5q826zw1221 - 0
xs19_4s39s0qmzw11 - 0
xs19_4s3pczw1221e8 - 0
xs19_628q5he8zw1221 - 0
xs19_62s82ticzx23 - 0
xs19_64138r9a4zx32 - 0
xs19_64138raa4zx32 - 0
xs19_642t2koz0c93 - 0
xs19_642t2koz3123 - 0
xs19_642t2koz6413 - 0
xs19_642t2kozwdb - 0
xs19_64k6he8z47011 - 0
xs19_65p6kk8z0643 - 0
xs19_6ao2dl2z32w11 - 0
xs19_6ao4pb8oz023 - 0
xs19_6ao4pb8ozw121 - 0
xs19_6io0kq23z1243 - 0
xs19_6io1f84cz065 - 0
xs19_6io1f84cz641 - 0
xs19_8e1qczbdw23 - 0
xs19_8e1u8zbdw23 - 0
xs19_8k9bi2sgzw123 - 0
xs19_8ka9dik8zw123 - 0
xs19_8ka9e0dbz023 - 0
xs19_8ka9e0mqz023 - 0
xs19_8ka9eg8ozw1243 - 0
xs19_8ka9la8czw1221 - 0
xs19_8kihu08ozx6221 - 0
xs19_8kihu0o8zx6221 - 0
xs19_8o6hqb8oz23 - 0
xs19_amgdb8ozx321 - 0
xs19_c4o7hz650343 - 0
xs19_c87picz39c - 0
xs19_c87piczbd - 0
xs19_c8adharzw32 - 0
xs19_c9bi2sgzw343 - 0
xs19_c9j08oz35871 - 0
xs19_c9jcj96z023 - 0
xs19_ca1bq2kozx23 - 0
xs19_ca1u8zbdw23 - 0
xs19_ci9mkicz0641 - 0
xs19_ci9mkiczw65 - 0
xs19_cidi4mp3zw1 - 0
xs19_cip6k4ozw4701 - 0
xs19_ciqj4cz6426 - 0
xs19_co2tik8z1226 - 0
xs19_g08o696z118k96 - 0
xs19_g628c93z11db - 0
xs19_g8kiqb8oz056 - 0
xs19_gbap5a4z11w23 - 0
xs19_giligzpk6421 - 0
xs19_gs2ib8ozx39c - 0
xs19_gs2ib8ozxbd - 0
xs19_kq2r94ozx321 - 0
xs19_o44ria4z0db - 0
xs19_o44ria4zc93 - 0
xs19_o80g6picz0c93 - 0
xs19_o80g6piczwdb - 0
xs19_o8b5o6iozx23 - 0
xs19_o8bl8goz4a43 - 0
xs19_oe1qczw1221e8 - 0
xs19_wo4iq453zc93 - 0
Edit: Last updated: 4 Dec 2019

Total 181 unsynthesized, 53 with at least 1 soup, 128 without any.
Last edited by wildmyron on December 4th, 2019, 1:53 am, edited 5 times in total.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

chris_c
Posts: 933
Joined: June 28th, 2014, 7:15 am

Re: 19-bit still life syntheses

Post by chris_c » November 22nd, 2019, 8:06 am

I made a snake-to-eater component that solves 5 of the unsolved 19-bitters:

Code: Select all

x = 336, y = 38, rule = B3/S23
bo$2bo73bo227bo$3o74bo87bo139bo$75b3o88bo136b3o$164b3o$229bo$230bo$20b
o2b2o203b3o94b2o$8bo10bobo2bo70b2o88bo137bo2bo$6bobo9bo2bobo59bo10bobo
87bobo124bo10bob2o$7b2o9b2o2bo58bobo9bo2bob2o72bo10bobobo121bobo9bo2bo
$20b2o60b2o9b2o2bobo70bobo9bo2bobo61b2o59b2o9b2o2bo$20bo74b2o74b2o9b2o
2bo61bo2bo71b2o$11bobo7bo73bo88b2o50bo10bob2o72bo$12b2o6b2o64bobo7bo
87bo49bobo9bo2bo64bobo7bo$12bo74b2o6b2o78bobo7bo49b2o9b2o2bo64b2o6b2o$
87bo88b2o6b2o62b2o65bo$176bo71bo$239bobo7bo$240b2o6b2o$9b3o228bo$11bo
72b3o225b3o$10bo75bo86b3o138bo$18bo66bo89bo137bo$18b2o73bo80bo146bo$
17bobo11bo61b2o87bo54b3o81b2o$30b2o60bobo11bo75b2o55bo80bobo11bo$30bob
o72b2o74bobo11bo42bo94b2o$105bobo86b2o50bo86bobo$17b2o175bobo49b2o$9bo
8b2o72b2o151bobo11bo60b2o$9b2o6bo66bo8b2o86b2o75b2o52bo8b2o$8bobo73b2o
6bo80bo8b2o74bobo51b2o6bo$83bobo87b2o6bo129bobo$172bobo70b2o$237bo8b2o
$237b2o6bo$236bobo!
Does anyone know what's going on here? Is there prior art for snake-to-eater that just doesn't work in this specific configuration? I did need to find my own domino inserter to work here so it's quite possible.

User avatar
Kazyan
Posts: 904
Joined: February 6th, 2014, 11:02 pm

Re: 19-bit still life syntheses

Post by Kazyan » November 22nd, 2019, 12:52 pm

I doubt there's anything special going on--that's just a non-obvious useful transformation and you happened to be the first to get it. Or perhaps there really is a steric hindrance problem in existing work.

Here's a way to make certain corner beehive configurations:

Code: Select all

x = 298, y = 33, rule = B3/S23
137bo$138bo$136b3o$153bo39bo55bo3bo$154bo39b2o38bo15b2obobo$152b3o5bo
32b2o40b2o12b2o2b2o$148bo9b2o74b2o58bo$149b2o8b2o38bo92bobo$148b2o47b
2o55bobo36b2o$94bo90bo8bo3b2o54b2o$42bo11bo37bobo91b2o7b2o58bo39b2o$
40bobo9bobo38b2o41b2o47b2o7b2o99b2o$41b2o10b2o44bo34b2ob2o$44b2o51b2o
35b4o$b3o3bo5b2o28bobo2b2o5b2o32bo8b2o35b2o12bo40b2o40bo11b2o48bo$3bob
2o5bobo30bo2bobo3bobo31bobo10b2o45bobo3bo35bo3bo9bobo25b2o9bo2bo46bobo
$2bo3b2o4bo36b2o3bo33bobo2b2o6bobo44bobo2bobo31b2obo2bobo8b2o25bobo9bo
bo47bobo$11b2o40b2o34b2obobo6bo47b2obobo27bobo2bob2obobo5b2o3bo35b2obo
46b2obo$10bo41bo39bo42b2o15bo30b2o7bo7bobo5bo33bo49bo$bo8bo41bo39bo41b
obo15bo30bo8bo7bo6b2o33bo49bo$b2o5b2ob2o37b2ob2o35b2ob2o41bo13b2ob2o
35b2ob2o12bobo30b2ob2o45b2ob2o$obo6bo2bo38bo2bo36bo2bo56bo2bo36bo2bo
46bo2bo46bo2bo$9bobo39bobo37bobo46b2o9bobo37bobo47bobo47bobo$10bo41bo
39bo48b2o9bo39bo49bo49bo$140bo2$145b3o$145bo$146bo2$143b3o$145bo$144bo
!
EDIT: There are a few still lifes that this doesn't quite work with, but only because of the bun-unfolding step that I don't immediately see a workaround for. Large still lifes get in the way of themselves.

Code: Select all

x = 357, y = 93, rule = B3/S23
138bo$139bo$137b3o$7bo146bo39bo55bo3bo$5b2o148bo39b2o38bo15b2obobo$6b
2o145b3o5bo32b2o40b2o12b2o2b2o$149bo9b2o74b2o58bo$150b2o8b2o38bo92bobo
$bo147b2o47b2o55bobo36b2o$2bo92bo90bo8bo3b2o54b2o$3o40bo11bo37bobo91b
2o7b2o58bo39b2o$8bobo30bobo9bobo38b2o41b2o47b2o7b2o99b2o$8b2o32b2o10b
2o44bo34b2ob2o$9bo35b2o51b2o35b4o$14b2o28bobo2b2o5b2o32bo8b2o35b2o12bo
40b2o40bo11b2o48bo59bo$13bobo30bo2bobo3bobo31bobo10b2o45bobo3bo35bo3bo
9bobo25b2o9bo2bo46bobo57bobo$13bo36b2o3bo33bobo2b2o6bobo44bobo2bobo31b
2obo2bobo8b2o25bobo9bobo47bobo57bobo$12b2o40b2o34b2obobo6bo47b2obobo
27bobo2bob2obobo5b2o3bo35b2obo46b2obo56b2obo$11bo41bo39bo42b2o15bo30b
2o7bo7bobo5bo33bo49bo59bo$11bo41bo39bo41bobo15bo30bo8bo7bo6b2o33bo49bo
25bo4bo4bo23bo$9b2o40b2o38b2o44bo13b2o38b2o15bobo30b2o48b2o56bob2o$7bo
2bobo36bo2bobo34bo2bobo54bo2bobo34bo2bobo44bo2bobo44bo2bobo54b2obobo$
7b2o2b2o36b2o2b2o34b2o2b2o46b2o6b2o2b2o34b2o2b2o44b2o2b2o44b2o2b2o58b
2o$142b2o$141bo2$146b3o$146bo$147bo2$144b3o$146bo$145bo28$138bo$139bo$
137b3o$7bo146bo39bo55bo3bo$5b2o148bo39b2o38bo15b2obobo$6b2o145b3o5bo
32b2o40b2o12b2o2b2o$149bo9b2o74b2o58bo$150b2o8b2o38bo92bobo$bo147b2o
47b2o55bobo36b2o$2bo92bo90bo8bo3b2o54b2o$3o40bo11bo37bobo91b2o7b2o58bo
39b2o$8bobo30bobo9bobo38b2o41b2o47b2o7b2o99b2o$8b2o32b2o10b2o44bo34b2o
b2o$9bo35b2o51b2o35b4o$14b2o28bobo2b2o5b2o32bo8b2o35b2o12bo40b2o40bo
11b2o48bo$13bobo30bo2bobo3bobo31bobo10b2o45bobo3bo35bo3bo9bobo25b2o9bo
2bo46bobo$13bo36b2o3bo33bobo2b2o6bobo44bobo2bobo31b2obo2bobo8b2o25bobo
9bobo47bobo$12b2o40b2o34b2obobo6bo47b2obobo27bobo2bob2obobo5b2o3bo35b
2obo46b2obo$11bo41bo39bo42b2o15bo30b2o7bo7bobo5bo33bo49bo$11bo41bo39bo
41bobo15bo30bo8bo7bo6b2o33bo49bo$8b2ob2o37b2ob2o35b2ob2o42bo12b2ob2o
35b2ob2o13bobo29b2ob2o45b2ob2o$8bo2bo38bo2bo36bo2bo56bo2bo36bo2bo46bo
2bo46bo2bo$9bobo39bobo37bobo47b2o8bobo37bobo47bobo47bobo$10bo41bo39bo
49b2o8bo39bo49bo49bo$141bo2$146b3o$146bo$147bo2$144b3o$146bo$145bo!
Tanner Jacobi

chris_c
Posts: 933
Joined: June 28th, 2014, 7:15 am

Re: 19-bit still life syntheses

Post by chris_c » November 22nd, 2019, 2:19 pm

Kazyan wrote:
November 22nd, 2019, 12:52 pm
Here's a way to make certain corner beehive configurations:
...
EDIT: There are a few still lifes that this doesn't quite work with, but only because of the bun-unfolding step that I don't immediately see a workaround for. Large still lifes get in the way of themselves.
Reduced and improved thanks to spark_search:

Code: Select all

x = 26, y = 19, rule = B3/S23
20bo$21bo$19b3o3bo$8bo6bo7b2o$9b2o5b2o6b2o$8b2o5b2o5$8bo6bo$9bo4bobo3b
o$7b3o4bobo2bobo$bo13b2obobo$2bo4bo10bo$3o4b2o9bo$6bobo7b2o$14bo2bobo$
14b2o2b2o!
EDIT: A cheaper way of adding the bun:

Code: Select all

x = 22, y = 22, rule = B3/S23
11bo$12b2o$11b2o3$bobo$2b2o$2bo3$2bo$obo17b2o$b2o16bobo$19bo$5b3o10b2o
$7bo9bo$6bo10bo$14b2ob2o$14bo2bo$b3o11bobo$3bo12bo$2bo!
EDIT2: A nice component that follows on from Kazyan's loaf/hive adder:

Code: Select all

x = 37, y = 34, rule = B3/S23
35bo$34bo$34b3o3$13bobo$14b2o$14bo6$4bo$2bobo$3b2o$9bobo$10b2o$10bo2$
13b3o$15bo7b2o$14bo7bo2bo$22bobo$20b2obo$21bo$21bobo$22b2o4$bo$b2o$obo
!
EDIT3: xs19_65ligka4zw56 a bit out of my normal style:

Code: Select all

x = 216, y = 27, rule = B3/S23
143bo$9bobo131bobo$9b2o66bo65b2o$10bo64b2o137bo$76b2o59bo75bo$4bo130bo
bo75b3o$5b2o129b2o$4b2o72b2o$79bo63b2o65b2o$78bo65bo65b2o$6bo59bo10bo
65bo$6b2o53b3o3b2o5bobo3bo57b2o2bo64b2o$5bobo55bo2b2o6b2o3bobo56bo2bo
3bo60bo2bo2bo$11bo50bo17bo58b2o3bobo59b3o2bobo$10bobo64b3o55bo9bo66bo$
11bo64bo56bobo6b3o63b4o$bo6b3o66bo56b2o5bo66bo$b2o4bo54bo13b2o64bo66bo
$obo5bo53b2o77b2o65b2o$7b2o52bobo70bo$68b3o64bo$68bo64b3o$69bo2$136b2o
$135bobo$137bo!

User avatar
Kazyan
Posts: 904
Joined: February 6th, 2014, 11:02 pm

Re: 19-bit still life syntheses

Post by Kazyan » November 24th, 2019, 2:47 pm

There are still a number of still lifes with an at-beehive, simply because other parts of the still life get in the way of the existing at-beehive adders. This can get to an at-loaf, based on Extrementhusiast's adder, but I'm having trouble downgrading it back into a beehive.

Code: Select all

x = 112, y = 43, rule = B3/S23
109bo$108bo$10bo5bo91b3o$11bo3bo$9b3o3b3o3$3b2o7b2o29b2o48b2o$3bobo6bo
bo28bobo47bobo$6bo5bo33bo49bo$2o2b2obo32b2o2b2obo42b2o2b2obo$o2bo3bo
32bo2bo3bo42bo2bo3bo$2b2o3b2o33b2o3bobo42b2o3bob2o$48b2o4bo43bobo$53bo
$53b3o2$49b3o$51bo57b3o$50bo58bo$45b3o62bo$47bo$46bo49b2o8b2o$92b2o2bo
bo7bobo$91bobo2bo9bo$93bo3$81b2o12b2o$80bobo11bobo$82bo13bo5$81b2o$80b
obo$82bo3$81b2o$80bobo$82bo!
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Re: 19-bit still life syntheses

Post by chris_c » November 24th, 2019, 7:00 pm

Kazyan wrote:
November 24th, 2019, 2:47 pm
There are still a number of still lifes with an at-beehive, simply because other parts of the still life get in the way of the existing at-beehive adders. This can get to an at-loaf, based on Extrementhusiast's adder, but I'm having trouble downgrading it back into a beehive.
Involving any gliders coming from the north-west was definitely a last resort but the end result is pretty good I think:

Code: Select all

x = 23, y = 14, rule = B3/S23
14bo$14bobo$14b2o$7bobo$8b2o$8bo$3b2o11bo$3bobo9bo$6bo8b3o2b3o$2o2b2ob
o12bo$o2bo2bobo12bo$2b2o2bo2bo6b2o$7b2o6b2o$17bo!
It was found via this JLS predecessor and then spark_search:

Code: Select all

x = 15, y = 9, rule = B3/S23
10bo$3b2o5b2o$3bobo4bo$6bo7bo$2o2b2obo5b2o$o2bo2bobo4bo$2b2o2bo2bo3b2o
$7b2o4b2o$13bo!

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Kazyan
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Re: 19-bit still life syntheses

Post by Kazyan » November 25th, 2019, 12:19 am

The takes care of three at-beehive still lifes! ...there are still more, because the motif is annoying and everything gets in the way of construction. Oh well.

Here's a still life that required a bunch of scaffolding, but is probably reducible:

Code: Select all

x = 129, y = 40, rule = B3/S23
71bo$70bo$70b3o2$42bo$43bo$41b3o$38bo$36bobo$37b2o5$113bo$44bo12bo56bo
$45b2o5bo3bo55b3o$44b2o7b2ob3o$52b2o56bo$108bobo$9bo2bo46bo2bo42bo3b2o
5b2obo2bo$9b4o46b4o42b2o9b2ob4o$104bobo$b2o8b2o48b2o47b2o9b2o$obo5b2o
2bo45b2o2bo47bobo5b2o2bo$2bo2bobobobo45bobobo42b2o5bo5bobobo$5b2o3bo
37bobo5bo3bo42bobo10bo3bo$49b2o4bo49bo4bo4bo8bo$b2o46bo4bo54bobo2bo8bo
$2b2o50b2o54b2o2b2o7b3o$bo3b3o41b3o54b3o10b2o$5bo29b3o11bo56bo2bo9bobo
$6bo30bo12bo55bo12bo6b2o$36bo69bo19bobo$b3o103bobo16bo$3bo$2bo$125b2o$
125bobo$125bo!
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Extrementhusiast
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Re: 19-bit still life syntheses

Post by Extrementhusiast » November 25th, 2019, 2:20 am

chris_c wrote:
November 24th, 2019, 7:00 pm
Kazyan wrote:
November 24th, 2019, 2:47 pm
There are still a number of still lifes with an at-beehive, simply because other parts of the still life get in the way of the existing at-beehive adders. This can get to an at-loaf, based on Extrementhusiast's adder, but I'm having trouble downgrading it back into a beehive.
Involving any gliders coming from the north-west was definitely a last resort but the end result is pretty good I think:

Code: Select all

RLE
A slightly more expensive method from the other side:

Code: Select all

x = 23, y = 24, rule = B3/S23
15bo$14bo$14b3o2$13bo$14bo$12b3o2$19bo$17b2o$18b2o$4bo$5b2o$4b2o3$19b
2o$15b2o2bo$14bo2bobo2bo$15bobo2b3o$6b2o8bob2o$2o5b2o8bo2bo$b2o3bo11bo
bo$o18bo!
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Re: 19-bit still life syntheses

Post by BlinkerSpawn » November 25th, 2019, 4:29 pm

Extrementhusiast wrote:
November 25th, 2019, 2:20 am
A slightly more expensive method from the other side:

Code: Select all

x = 23, y = 24, rule = B3/S23
15bo$14bo$14b3o2$13bo$14bo$12b3o2$19bo$17b2o$18b2o$4bo$5b2o$4b2o3$19b
2o$15b2o2bo$14bo2bobo2bo$15bobo2b3o$6b2o8bob2o$2o5b2o8bo2bo$b2o3bo11bo
bo$o18bo!
One fewer glider and much more clearance:

Code: Select all

x = 23, y = 20, rule = B3/S23
20bo$19bo$19b3o2$9bo$10b2o$9b2o$4bo$5b2o$4b2o3$19b2o$15b2o2bo$14bo2bob
o2bo$15bobo2b3o$6b2o8bob2o$2o5b2o8bo2bo$b2o3bo11bobo$o18bo!
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Re: 19-bit still life syntheses

Post by chris_c » November 27th, 2019, 10:50 am

Integral to block on long hook converter solves xs19_31ekhjozx66:

Code: Select all

x = 39, y = 48, rule = B3/S23
2bo$obo$b2o6$12bo$13b2o$12b2o2$33bobo$33b2o$19bo14bo$14bo3bo$15bo2b3o$
13b3o3$35bo$33b2o$34b2o5$19b2o$14b2o2bobo$14bo3bo$16bobo$15b3o$14bo$
14b2o$31bo$30b2o$30bobo3b2o$36bobo$36bo$30bo$15b2o12b2o$14bobo12bobo$
16bo3$33bo$32b2o$32bobo!
There's a soup for the block in the other location, but isn't there also a converter to switch from one to the other?

Also a hook to boat converter that applies in a specific cramped situation:

Code: Select all

x = 22, y = 29, rule = B3/S23
12bo$13bo$11b3o2$20bo$2bo6bo9bo$obo7bo8b3o$b2o5b3o6$9bo$8bobo$7bobo5b
2o$8bo5bobo$14bo$10b2ob2o$10bo4b2o$11b3o2bo$13b2o$b2o$obo$2bo2$4bo$3b
2o$3bobo!

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Re: 19-bit still life syntheses

Post by Kazyan » November 30th, 2019, 4:21 pm

Difficult; needs reduction:

Code: Select all

x = 46, y = 44, rule = B3/S23
29bo$29bobo$16bo12b2o$11bo5b2o$12b2o2b2o$11b2o21bo$34bobo$34b2o2$o2bo
21bo$4bo19bobo$o3bo19bo2bo$b4o13bo6b2o$17bobo$18b2o2b2o$22b2o$18b2o15b
o$19bo2b2o11bobo$19bobo2bo10b2o$20bob2o8b2o$9b2o11bo8bo2bo$8bobo11bobo
7b2o$10bo10b2ob3o$27bo$26b2o$17bo4b2o$16bobo2bobo13bo$15bo2bo2b2o4b2o
7b2o6bo$16b2o9bobo6bobo4b2o$8b2o18bo14bobo$7bobo$9bo3$16b2o$10b2o5b2o
13b2o$9bobo4bo14b2o$11bo21bo4$37b2o$36b2o$38bo!
AGreason has confirmed that transfer.py can make the central still life.
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Re: 19-bit still life syntheses

Post by chris_c » December 1st, 2019, 3:01 pm

Kazyan wrote:
November 30th, 2019, 4:21 pm
Difficult; needs reduction:

Code: Select all

x = 46, y = 44, rule = B3/S23
29bo$29bobo$16bo12b2o$11bo5b2o$12b2o2b2o$11b2o21bo$34bobo$34b2o2$o2bo
21bo$4bo19bobo$o3bo19bo2bo$b4o13bo6b2o$17bobo$18b2o2b2o$22b2o$18b2o15b
o$19bo2b2o11bobo$19bobo2bo10b2o$20bob2o8b2o$9b2o11bo8bo2bo$8bobo11bobo
7b2o$10bo10b2ob3o$27bo$26b2o$17bo4b2o$16bobo2bobo13bo$15bo2bo2b2o4b2o
7b2o6bo$16b2o9bobo6bobo4b2o$8b2o18bo14bobo$7bobo$9bo3$16b2o$10b2o5b2o
13b2o$9bobo4bo14b2o$11bo21bo4$37b2o$36b2o$38bo!
AGreason has confirmed that transfer.py can make the central still life.
Some improvement at the bottom:

Code: Select all

x = 46, y = 41, rule = B3/S23
29bo$29bobo$16bo12b2o$11bo5b2o$12b2o2b2o$11b2o21bo$34bobo$34b2o2$o2bo
21bo$4bo19bobo$o3bo19bo2bo$b4o13bo6b2o$17bobo$18b2o2b2o$22b2o$18b2o15b
o$19bo2b2o11bobo$19bobo2bo10b2o$20bob2o8b2o$9b2o11bo8bo2bo$8bobo11bobo
7b2o$10bo10b2ob3o$27bo$26b2o2$37bo$36b2o6bo$36bobo4b2o$43bobo2$16bo9bo
$16b2o7b2o$15bobo7bobo2$23bo$23b2o$22bobo$9b3o$11bo$10bo!
EDIT: more optimisation:

Code: Select all

x = 46, y = 52, rule = B3/S23
bo$2bo$3o8$13bobo9bo9bo$14b2o7bobo7b2o$14bo9b2o8b2o$10bo$11b2o16bo$10b
2o18bo$28b3o5$23bo10bo$22bobo7bobo10bo$23b2o2b2o4b2o8b2o$27b2o15b2o$
23b2o$24bo2b2o$24bobo2bo$25bob2o$27bo$27bobo$26b2ob3o$11b3o18bo$13bo
17b2o$12bo4$44b2o$43b2o$45bo3$18b2o13b2o$19b2o11b2o$18bo15bo2$25b2o$
26b2o$12b2o11bo$11bobo$13bo!

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Extrementhusiast
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Re: 19-bit still life syntheses

Post by Extrementhusiast » December 1st, 2019, 7:39 pm

chris_c wrote:
December 1st, 2019, 3:01 pm
Kazyan wrote:
November 30th, 2019, 4:21 pm
Difficult; needs reduction:

Code: Select all

RLE
AGreason has confirmed that transfer.py can make the central still life.
Some improvement at the bottom:

Code: Select all

RLE
EDIT: more optimisation:

Code: Select all

RLE
A spark search for something like this would simplify the top greatly:

Code: Select all

x = 11, y = 14, rule = B3/S23
2bob2o$4ob2o$2b2obo$4b2o$2o$obo$2bo2b2o$2bobo2bo$3bob2o$5bo$5bobo$4b2o
b3o$10bo$9b2o!
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Kazyan
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Re: 19-bit still life syntheses

Post by Kazyan » December 2nd, 2019, 1:32 am

Idea for a route to some difficult hat motifs, from comparatively easier bookend motifs:

Code: Select all

x = 127, y = 13, rule = B3/S23
2o18b2o18b2o18b2o18b2o18b2o18b2o$o2b2o15bo2b2o15bo2b2o15bo2b2o15bo2b2o
10b3o2bo2b2o15bo2b2o$b2o2bo3bo11b2o2bo15b2o2bo15b2o2bo15b2o2bo15b2o2bo
15b2o2bo$3bo2bo2bo13bo2bo16bo2bo16bo2bo16bo2bo9bo6bo2bo16bo2bo$b2ob2o
2bo12b2ob2o15b2ob2o15b2ob2o15b2ob2o11b2o2b2ob2o15b2ob2o$2bo5bo13bo19bo
3b2o14bobo17bobo11b2o4bobo17bobo$obo3bo2bo12bob2o16bob2o2b2o12bobo12b
2o3bobo3b2o10bobobobo15bobo$2o3b3o13b2ob2o15b2ob2o15b2ob2o10b4ob2ob2ob
4o9b2o3b2o16bo$5bobo68b2o11b2o$2bo5bo74bo20bo4bo$9bo72b3o13b3o3b2ob2o$
80b2o3b2o13bo2bobo2b2o$83bo15bo!
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Re: 19-bit still life syntheses

Post by chris_c » December 2nd, 2019, 7:38 am

Extrementhusiast wrote:
December 1st, 2019, 7:39 pm
A spark search for something like this would simplify the top greatly:

Code: Select all

x = 11, y = 14, rule = B3/S23
2bob2o$4ob2o$2b2obo$4b2o$2o$obo$2bo2b2o$2bobo2bo$3bob2o$5bo$5bobo$4b2o
b3o$10bo$9b2o!
Great. So if someone can construct the base still life this looks pretty good:

Code: Select all

x = 35, y = 48, rule = B3/S23
26bo$24b2o$25b2o$9bo$7bobo$8b2o3$24bo$23bo$9bo13b3o$10bo3bobo$8b3o4b2o
$15bo4$11bo$o10bobo$b2o8b2o$2o20b2o$21bobo$17b2o2bo$16bo2bobo$17b2obo$
18bo$16bobo$14b3ob2o$13bo$13b2o5$2o$b2o$o3$11b2o13b2o$12b2o11b2o$11bo
15bo2$19b2o$18b2o$20bo11b2o$32bobo$32bo!
EDIT: Thanks Goldtiger. I was looking for something like in your first step but couldn't find it.
Last edited by chris_c on December 2nd, 2019, 8:48 am, edited 1 time in total.

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Re: 19-bit still life syntheses

Post by Goldtiger997 » December 2nd, 2019, 7:56 am

chris_c wrote:
December 2nd, 2019, 7:38 am
Great. So if someone can construct the base still life this looks pretty good:

Code: Select all

x = 35, y = 48, rule = B3/S23
26bo$24b2o$25b2o$9bo$7bobo$8b2o3$24bo$23bo$9bo13b3o$10bo3bobo$8b3o4b2o
$15bo4$11bo$o10bobo$b2o8b2o$2o20b2o$21bobo$17b2o2bo$16bo2bobo$17b2obo$
18bo$16bobo$14b3ob2o$13bo$13b2o5$2o$b2o$o3$11b2o13b2o$12b2o11b2o$11bo
15bo2$19b2o$18b2o$20bo11b2o$32bobo$32bo!
It can be done like this where the left-hand 20-bitter already has a synthesis on Catagolue:

Code: Select all

x = 122, y = 48, rule = B3/S23
113bo$111b2o$112b2o$96bo$94bobo$95b2o3$111bo$110bo$96bo13b3o$18bo78bo
3bobo$18bobo74b3o4b2o$9bo8b2o82bo$8bo$8b3o$6bo$4bobo91bo$5b2o9bobo68bo
10bobo$16b2o70b2o8b2o$17bo69b2o20b2o$58b2o48bobo$4b2o48b2o2bo45b2o2bo$
3bo2bobo44bo2bobo44bo2bobo$4b2ob2o45b2obo5bo40b2obo$5bo8bo40bo6bo42bo$
3bobo7bo39bobo6b3o38bobo$b3ob2o6b3o35b3ob2o44b3ob2o$o49bo10b2o3b2o32bo
$2o17b2o29b2o8bobo3bobo31b2o$19bobo40bo3bo$19bo$13b2o$13bobo$13bo5b2o
66b2o$19bobo66b2o$19bo67bo3$98b2o13b2o$99b2o11b2o$98bo15bo2$106b2o$
105b2o$107bo11b2o$119bobo$119bo!

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Kazyan
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Re: 19-bit still life syntheses

Post by Kazyan » December 3rd, 2019, 7:34 pm

A couple of ideas:

Code: Select all

x = 53, y = 40, rule = LifeHistory
39.A$40.A$20.5A9.3A.3A6.2A$18.6A12.A6.2A2.3A$20.3A2.A9.A6.A2.A2.2A$3.
2A17.3A17.3CA$2A2.A15.2A18.2C2.D$.A.A17.A.A3.A13.C.C5.4A$A2.4A13.A2.
3A14.C2.3CD2.A$.2A3.A14.2A3.A14.2C3.C2.A$3.A.A17.A.A17.C.C5.A$3.2A18.
2A18.2C6.A14$2.2A$2.A$3.A$2.2A$A2.A.A$2A2.A.A3.A$6.A3.A$2D3.A4.A$3.D
2.3A$3.D4.A$2.D2$7.3A$7.A$8.A!
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Re: 19-bit still life syntheses

Post by chris_c » December 3rd, 2019, 10:22 pm

This one turned out nicely:

Code: Select all

x = 23, y = 23, rule = B3/S23
17bobo$17b2o$18bo$11bo$5bo3bobo$6bo3b2o$4b3o13bobo$20b2o$21bo4$11b2o$
11bobo$obo9bo6b2o$b2o10b3o4bo$bo14bo2bo$15bo2bo$16b2o2$12b3o$12bo$13bo
!

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Re: 19-bit still life syntheses

Post by Extrementhusiast » December 4th, 2019, 1:49 am

We're down to the final page.
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Kazyan
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Re: 19-bit still life syntheses

Post by Kazyan » Today, 3:37 am

Idea for these two xs19s, though I'm a bit at a loss as to how to insert the top red spark without interfering with the left red spark. It doesn't look too hard; I just can't figure out a way with correct clearance.

Code: Select all

x = 149, y = 31, rule = LifeHistory
88.A$88.A.A$88.2A2$137.A$86.A49.A$81.A4.A.A42.A4.3A$79.A.A4.2A41.A.A$
80.2A44.A3.2A$124.A.A$125.2A$118.2A$68.A.A46.A2.A$68.2A47.A2.A12.2A$
69.A48.2A12.A.A$133.A$14.2D18.2A33.2A49.A$68.A.A49.2A21.A$7.2D3.4D11.
2A3.4A34.A12.2A34.A.A11.2A7.2A$6.3D17.3A53.A.A47.A.A7.A.A$6.2D4.A13.
2A4.A49.A49.A$11.A.A17.A.A46.2A.A46.2A.A$10.A2.A15.2A2.A45.A3.A45.A3.
A13.2A$9.A.2A15.A2.2A45.A2.2A45.A2.2A13.2A$7.3A.A16.2A.A46.2A.A46.2A.
A16.A$.2A3.A4.A19.A49.A49.A$A.A3.2A3.2A18.2A48.2A48.2A$2.A$5.A$5.2A$
4.A.A!
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