## 19-bit still life syntheses

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

### Re: 19-bit still life syntheses

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!

Goldtiger997
Posts: 625
Joined: June 21st, 2016, 8:00 am

### Re: 19-bit still life syntheses

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: 1444
Joined: August 9th, 2013, 12:45 am

### Re: 19-bit still life syntheses

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 - 45
xs19_696o6iozw343 - 20
xs19_8kkb9aczx352 - 17
xs19_8kiajkczw343 - 16
xs19_c4jq2sgzx343 - 15
xs19_ciqjk4ozx641 - 15
xs19_8kkjhke13zx1 - 13
xs19_64k6picz0343 - 10
xs19_64pbaik8zx23 - 10
xs19_695mggkczw641 - 9
xs19_3lkaicz3452 - 8
xs19_35s25a8czx113 - 7
xs19_c4jq2kozx343 - 7
xs19_8kk6picz643 - 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_g8jd4koz1248c - 2
xs19_gs2pb8ozw346 - 2
xs19_0ciabp46z321 - 1
xs19_0kc3pczc9521 - 1
xs19_2egdb88czx123 - 1
xs19_32qj8r54c - 1
xs19_32qj9q453 - 1
xs19_3586kicz3113 - 1
xs19_4a96kicz3213 - 1
xs19_8kiqjkczw4a4 - 1
xs19_ca1bq2sgzx23 - 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
And here are the unsynthesized xs19s with no soups:

Code: Select all

xs19_03h4mik8z47011 - 0
xs19_03pc0ckz622611 - 0
xs19_0c48c9jz641321 - 0
xs19_0c9jz628n826 - 0
xs19_0c9jzcim926 - 0
xs19_0cahe0dbz321 - 0
xs19_0cahe0mqz321 - 0
xs19_0dbgz628n826 - 0
xs19_0dbgzcim926 - 0
xs19_0gbdz638mic - 0
xs19_0j9cz638mic - 0
xs19_0j9m4k8z34611 - 0
xs19_0o4iq453zdb - 0
xs19_0o4iqb8oz643 - 0
xs19_25ao2t28czx121 - 0
xs19_25t2kozx12453 - 0
xs19_2eg6p5iczx121 - 0
xs19_31e80j9czw3121 - 0
xs19_32138r9a4zx32 - 0
xs19_32138raa4zx32 - 0
xs19_32qk0og4czx343 - 0
xs19_32qk0oi6zx343 - 0
xs19_354cj9cz02521 - 0
xs19_354m9a4z6511 - 0
xs19_354qibp46 - 0
xs19_35s2di8czx121 - 0
xs19_35s2ib8ozx121 - 0
xs19_39c88gzx32cjo - 0
xs19_3iakg4cz320146 - 0
xs19_3lkaik8z01243 - 0
xs19_3lkaik8zw343 - 0
xs19_3p68og4czw1226 - 0
xs19_3p68ozw122qm - 0
xs19_3pajkcz643 - 0
xs19_3pc0qmz4a43 - 0
xs19_3pc0v18ozx121 - 0
xs19_3pm0ehla4 - 0
xs19_4a9b8oz321e8 - 0
xs19_4a9bkk8z3213 - 0
xs19_4air94ozw6221 - 0
xs19_4ap5q826zw1221 - 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_6io0kq23z1243 - 0
xs19_8e1qczbdw23 - 0
xs19_8e1u8zbdw23 - 0
xs19_8ka9dik8zw123 - 0
xs19_8ka9la8czw1221 - 0
xs19_8kihu08ozx6221 - 0
xs19_8kihu0o8zx6221 - 0
xs19_8o6hqb8oz23 - 0
xs19_amgdb8ozx321 - 0
xs19_c4o7hz650343 - 0
xs19_c9bi2sgzw343 - 0
xs19_c9j08oz35871 - 0
xs19_ca1bq2kozx23 - 0
xs19_ca1u8zbdw23 - 0
xs19_ci9mkicz0641 - 0
xs19_ci9mkiczw65 - 0
xs19_cip6k4ozw4701 - 0
xs19_co2tik8z1226 - 0
xs19_g08o696z118k96 - 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_o8bl8goz4a43 - 0
xs19_oe1qczw1221e8 - 0
xs19_wo4iq453zc93 - 0
Edit: Last updated: 16 Dec 2019

Total 125 unsynthesized, 43 with at least 1 soup, 82 without any.
Last edited by wildmyron on December 16th, 2019, 1:00 am, edited 7 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: 966
Joined: June 28th, 2014, 7:15 am

### Re: 19-bit still life syntheses

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.

Kazyan
Posts: 1001
Joined: February 6th, 2014, 11:02 pm

### Re: 19-bit still life syntheses

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
Coldlander, a novel, available in paperback and as an ebook.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

### Re: 19-bit still life syntheses

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!

Kazyan
Posts: 1001
Joined: February 6th, 2014, 11:02 pm

### Re: 19-bit still life syntheses

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!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

### Re: 19-bit still life syntheses

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!

Kazyan
Posts: 1001
Joined: February 6th, 2014, 11:02 pm

### Re: 19-bit still life syntheses

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!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

Extrementhusiast
Posts: 1849
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 19-bit still life syntheses

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!
I Like My Heisenburps! (and others)

Posts: 1971
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: 19-bit still life syntheses

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!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

### Re: 19-bit still life syntheses

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!

Kazyan
Posts: 1001
Joined: February 6th, 2014, 11:02 pm

### Re: 19-bit still life syntheses

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.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

### Re: 19-bit still life syntheses

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!

Extrementhusiast
Posts: 1849
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 19-bit still life syntheses

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!
I Like My Heisenburps! (and others)

Kazyan
Posts: 1001
Joined: February 6th, 2014, 11:02 pm

### Re: 19-bit still life syntheses

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!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

### Re: 19-bit still life syntheses

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.

Goldtiger997
Posts: 625
Joined: June 21st, 2016, 8:00 am

### Re: 19-bit still life syntheses

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!

Kazyan
Posts: 1001
Joined: February 6th, 2014, 11:02 pm

### Re: 19-bit still life syntheses

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!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

### Re: 19-bit still life syntheses

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
!

Extrementhusiast
Posts: 1849
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 19-bit still life syntheses

We're down to the final page.
I Like My Heisenburps! (and others)

Kazyan
Posts: 1001
Joined: February 6th, 2014, 11:02 pm

### Re: 19-bit still life syntheses

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!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

### Re: 19-bit still life syntheses

Kazyan wrote:
December 8th, 2019, 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.
Got it:

Code: Select all

x = 27, y = 29, rule = B3/S23
19bobo\$19b2o\$20bo\$16bo\$14bobo\$15b2o\$26bo\$5bo11bo6b2o\$6b2o8bo8b2o\$5b2o
9b3o6\$14bo\$4bo8bobo7bo\$4b2o6bo2bo6b2o\$3bobo5bob2o7bobo\$9b3obo\$8bo4bo\$
8b2o3b2o2\$3o\$2bo\$bo\$4b2o\$5b2o\$4bo!

Kazyan
Posts: 1001
Joined: February 6th, 2014, 11:02 pm

### Re: 19-bit still life syntheses

That higher-clearance insertion has now helped solve xs19_03p68oz39c32 and about eight relatives.

I've been trying to make a component sequence to do this other transformation, as well. So far, no luck, but it's getting closer:

Code: Select all

x = 128, y = 13, rule = B3/S23
85bo2bo\$89bo\$84b6o\$85bobo\$4bo5b2o32bo39bo2bo36b2o\$2b3o3b4o30b3o37b3o
37b3obo\$bo7b2o30bo5bo33bo5bo4bo28bo5bo\$bob4o34bob5o33bob5o2b5o26bob4o\$
2o2bo2bo32b2o2bo35b2o2bo4b3ob2o25b2o2bo\$2bo3b2o34bo3b2o34bo3b2o2b5o27b
o\$2b2o38b2o3bo34b2o3bo4bo29b2o\$46bo39b2o\$46b2o38b2o!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook.

Posts: 1971
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: 19-bit still life syntheses

Kazyan wrote:
December 12th, 2019, 1:37 pm
That higher-clearance insertion has now helped solve xs19_03p68oz39c32 and about eight relatives.

I've been trying to make a component sequence to do this other transformation, as well. So far, no luck, but it's getting closer:

Code: Select all

x = 128, y = 13, rule = B3/S23
85bo2bo\$89bo\$84b6o\$85bobo\$4bo5b2o32bo39bo2bo36b2o\$2b3o3b4o30b3o37b3o
37b3obo\$bo7b2o30bo5bo33bo5bo4bo28bo5bo\$bob4o34bob5o33bob5o2b5o26bob4o\$
2o2bo2bo32b2o2bo35b2o2bo4b3ob2o25b2o2bo\$2bo3b2o34bo3b2o34bo3b2o2b5o27b
o\$2b2o38b2o3bo34b2o3bo4bo29b2o\$46bo39b2o\$46b2o38b2o!
I can't tell if this is helpful or not:

Code: Select all

x = 10, y = 10, rule = B3/S23
8bo\$9bo\$4bo2bobo\$2b3obo\$bo4b3o\$bob2o\$2o2bo\$2bo4b2o\$2b2o2b4o\$6b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]