Smallest still lifes with specific islands

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Ian07
Posts: 555
Joined: September 22nd, 2018, 8:48 am

Smallest still lifes with specific islands

Post by Ian07 » January 27th, 2020, 3:04 pm

Islands are taken from the bs23 census. EDIT: Since I can't be bothered to format stuff here on the forums, I'm going to be posting all of my future updates to this in a table here: User:Ian07/Still life islands (so please be sure to check the table before posting)

Although the table is in my user space, other users are welcome to edit it. Alternatively, post additions/improvements here.

xs3_13: xs6_39c

Code: Select all

x = 4, y = 3, rule = LifeHistory
2.2C$A2.C$2A!
xs4_27: xs16_39s0qmz32

Code: Select all

x = 6, y = 7, rule = LifeHistory
2A$A$2.C.2A$.2C.A$2.C2.A$A3.2A$2A!
xs4_36: xs10_0cp3z32

Code: Select all

x = 4, y = 7, rule = LifeHistory
2.2A$3.A$.C$.2C$2.C$A$2A!
xs6_9f: xs10_32qr

Code: Select all

x = 5, y = 4, rule = LifeHistory
2C.2A$.C.2A$.C$2C!
xs6_2bc: xs29_628q6gu178cz032w346

Code: Select all

x = 11, y = 8, rule = LifeHistory
6.2A$.2A2.A.A$.A3.A$3.C.2A$2.2C2.A2.2A$A3.C.A.A.A$2A.2C.A.A$7.2A!
xs6_1bc: xs27_32qj9czw622r996

Code: Select all

x = 10, y = 9, rule = LifeHistory
6.2A$5.A2.A$5.A2.A$2.2C.2A.2A$A2.C2.A$2A2.C.A$.A.2C.2A$.A$2A!
xs6_35c: xs19_j5c1f871z11

Code: Select all

x = 8, y = 6, rule = LifeHistory
2C.2A.2A$C3.A.A$.2C.A.A$2.C.2A$A$2A!
xs6_1f8: xs20_69e0o8zx230eic

Code: Select all

x = 9, y = 10, rule = LifeHistory
7.A$6.A.A$6.A.A$3.2C.2A$4.C$4.C$.2A.2C$A.A$A.A$.A!
xs6_13c4: xs17_0cp3c4goz321

Code: Select all

x = 8, y = 7, rule = LifeHistory
2.2C$3.C$.A2.2C$.2A.C2.A$2.A3.2A$A.A$2A!
xs6_134c: xs12_641j4czx11

Code: Select all

x = 6, y = 6, rule = LifeHistory
2.2C$A2.C$2A2.2C$5.C$3.A$3.2A!
xs6_13c8: xs22_3pe0o8zw230ejo

Code: Select all

x = 8, y = 10, rule = LifeHistory
6.2A$5.A.A$5.A$2.2C.2A$3.C2.A$.A2.C$.2A.2C$2.A$A.A$2A!
xs6_23c4: xs12_0ggc93z641

Code: Select all

x = 8, y = 6, rule = LifeHistory
2A$A2.C$2.2C$4.2C$4.C2.A$6.2A!
xs7_9v: xs14_09v04a4z32
xs7_fp: xs14_64132qr
xs7_hv: xs21_4a40vh4e0db
xs7_dr: xs10_0drz32
xs7_39e: xs13_39e0db
xs7_jt: impossible
xs7_bt: xs14_0bt066z32
xs7_697: xs13_69e0mq
xs7_lr: impossible
xs7_2js: xs22_gjl4c8a6z1w39c
xs7_2rk: xs35_3pc0ck0v1oozwc930ejo
xs7_4bq: xs31_c4go0ep3zw6ip0vg33
xs7_2ti: impossible
xs7_4r9: impossible
xs7_1js: impossible
xs7_25d2: xs28_4aq4gv16426z32w346
xs7_3is: xs16_gie0dbz146
xs7_1rk: impossible
xs7_17o8: xs34_064k5b8ogkczok4d116io

(to be continued)
Last edited by Ian07 on February 9th, 2020, 4:28 pm, edited 3 times in total.

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Gustone
Posts: 614
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Re: Smallest still lifes with specific islands

Post by Gustone » January 28th, 2020, 3:37 pm

Code: Select all

x = 9, y = 6, rule = LifeHistory
.2A2.2A$.A3.A$3.C.A.A$2.2C2.A.A$A3.C.A.A$2A.2C.2A!

Code: Select all

x = 9, y = 8, rule = LifeHistory
5.2A$5.A$2.2C.A.A$A2.C2.A.A$2A2.C.A.A$.A.2C.2A$.A$2A!

Code: Select all

x = 8, y = 6, rule = LifeHistory
2C.2A$C3.A$.2C.A.2A$2.C.2A.A$A$2A!
My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!

Ian07
Posts: 555
Joined: September 22nd, 2018, 8:48 am

Re: Smallest still lifes with specific islands

Post by Ian07 » January 29th, 2020, 9:23 pm

Since I can't be bothered to format stuff here on the forums, I'm going to be posting all of my future updates to this in a table here: User:Ian07/Still life islands (so please be sure to check the table before posting)

However, I'll also be sure to add any additions that get posted here.
Last edited by Ian07 on January 30th, 2020, 7:20 am, edited 1 time in total.

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GUYTU6J
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Location: 中国

Re: Smallest still lifes with specific islands

Post by GUYTU6J » January 29th, 2020, 11:40 pm

Random scribbles with xs8

Code: Select all

x = 137, y = 12, rule = LifeHistory
6.2A14.2A23.2A11.2C.2A7.2A.2C13.2C20.A.2A19.2A$6.A16.A22.A2.A11.C.2A
8.A.C14.C.C.2A16.2A.A17.C2.A$3.2C.A2.2A12.A.2C14.2A4.3A11.C11.A2.C15.
C.2A37.2C$3.C2.A.A.A10.A.A2.C14.A18.2C8.2A.2A.C15.C19.3C15.2A.C$2A.C.
2A.A11.A.A.A.C.2A13.A.3C12.C9.2A.A2.C.2A11.2C17.A2.C.C.2A12.A2.C$2A.C
2.A.2A10.A.A.A.C.2A12.2A.C2.C13.A12.2C.2A30.2A3.C.A13.A.2C$3.2C16.A.A
2.C13.A2.A3.C13.2A51.2C2.A11.2A.C$3.C19.A.2C13.2A3.A.2C68.2A16.A$5.A
17.A20.2A88.2A$4.2A16.2A21.A$44.A$44.2A!
A script is likely possible for the job. For instance, B3j alone can be generally stabilized like this:

Code: Select all

x = 19, y = 11, rule = LifeHistory
A.2A$2A.A$11.C$3C8.3C$C2.C10.C$2.CD2.2A4.2CD2.2A$.2C.A2.A5.C.A2.A$4.
2A5.A3.2A$4.A6.2A2.A$5.A10.A$4.2A9.2A!
Lifewiki: User:GUYTU6J
---
Someone please find a use for this:

Code: Select all

x = 9, y = 7, rule = B3/S23
6bo$6bobo$5bo2bo$b2o3b2o$o2bo$bobo$2bo!
#C [[ COLOR BACKGROUND 255 200 82 COLOR ALIVE 81 143 51 ]]
I'm not really Equestrated.

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toroidalet
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Re: Smallest still lifes with specific islands

Post by toroidalet » February 1st, 2020, 10:01 pm

Improvements:

Code: Select all

x = 27, y = 13, rule = LifeHistory
7.2A$6.A2.A13.A.2A$.2A4.3A13.2A.A$.A$3.A.3C15.3C$2.2A.C2.C14.C2.C$A2.
A3.C17.C$2A3.A.2C14.A.2C$4.2A15.3A$5.A14.A4.2A$4.A15.2A4.A$4.2A19.A$
25.2A!

Code: Select all

x = 23, y = 10, rule = LifeHistory
2.2A$3.A$3.A.2C11.2C$.A.A2.C9.A2.C$A.A.A.C.2A6.2A.C.2A$A.A.A.C.2A9.C.
2A$.A.A2.C12.C$3.A.2C11.2C$3.A$2.2A!

Code: Select all

x = 31, y = 10, rule = LifeHistory
6.2A$6.A$3.2C.A2.2A13.2C3.2A$3.C2.A.A.A13.C2.A2.A$2A.C.2A.A12.2A.C.2A
.A$2A.C2.A.2A11.2A.C2.A.2A$3.2C19.2C$3.C20.C$5.A20.A$4.2A19.2A!

Code: Select all

x = 27, y = 11, rule = LifeHistory
A.2A16.A.2A$2A.A16.2A.A2$3C17.3C$C2.C16.C2.C$2.CD2.2A14.CD.A$.2C.A2.A
13.2C.2A$4.2A18.A$4.A19.A.A$5.A19.2A$4.2A!

Code: Select all

x = 25, y = 10, rule = LifeHistory
15.2A.C$C15.A.3C$3C13.A4.C$3.C13.A.2CD.A$.2CD2.2A6.3A3.C.2A$2.C.A2.A
6.A2.2A3.A$A3.2A11.A4.A.A$2A2.A13.A4.2A$5.A11.2A$4.2A!
(the last one was not stable so I completed it)
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

hkoenig
Posts: 132
Joined: June 20th, 2009, 11:40 am

Re: Smallest still lifes with specific islands

Post by hkoenig » February 1st, 2020, 10:22 pm

This thread should be moved from the Sandbox to the Patterns section, so it doesn't get lost.

Ian07
Posts: 555
Joined: September 22nd, 2018, 8:48 am

Re: Smallest still lifes with specific islands

Post by Ian07 » February 2nd, 2020, 11:35 am

hkoenig wrote:
February 1st, 2020, 10:22 pm
This thread should be moved from the Sandbox to the Patterns section, so it doesn't get lost.
I considered that, but this was just something I came up with on a whim and I wasn't really sure if there would be any continued interest. A mod can move this to the Patterns section if they want to. In any case, I'm now compiling these on the wiki in my userspace. Everyone is welcome to edit, by the way!

EDIT: All of the possible xs7s done now, though xs7_134o8, xs7_1348o, and xs7_234o8 may or may not be possible; this is the closest I could get:

Code: Select all

x = 10, y = 11, rule = LifeHistory
2.2C.2A$A2.C2.A$2A2.C$5.2C$3.A.C2.A$.3A3.2A$A4.A.A$6A.A.A$8.2A$2.2A$
2.2A!

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Entity Valkyrie 2
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Re: Smallest still lifes with specific islands

Post by Entity Valkyrie 2 » February 3rd, 2020, 2:20 am

Ian07 wrote:
February 2nd, 2020, 11:35 am
hkoenig wrote:
February 1st, 2020, 10:22 pm
This thread should be moved from the Sandbox to the Patterns section, so it doesn't get lost.
I considered that, but this was just something I came up with on a whim and I wasn't really sure if there would be any continued interest. A mod can move this to the Patterns section if they want to. In any case, I'm now compiling these on the wiki in my userspace. Everyone is welcome to edit, by the way!

EDIT: All of the possible xs7s done now, though xs7_134o8, xs7_1348o, and xs7_234o8 may or may not be possible; this is the closest I could get:

Code: Select all

x = 10, y = 11, rule = LifeHistory
2.2C.2A$A2.C2.A$2A2.C$5.2C$3.A.C2.A$.3A3.2A$A4.A.A$6A.A.A$8.2A$2.2A$
2.2A!
Those are impossible (if not in StateInvestigator), since the two red cells need to be suppressed. If you suppress one with a pre-block, the blue cells will turn on. If you suppress one of the red cells (while keeping the blue suppressed), the other red cell can still turn on. If you suppress all four of the red and blue cells, the gray cell will turn on, and if you suppress that, the yellow cell is overpopulated.

Code: Select all

x = 38, y = 6, rule = LifeHistory
18.A7.A7.A$18.A7.A7.A$CB6.CB2A4.CBA5.CBA5.CBAE$CDF5.CDFA4.CDF5.CDF3A
2.CDF3A$.CDB5.CDB5.CDB5.CDB5.CDB$2.2C6.2C6.2C6.2C6.2C!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please click here for my own pages.

Also, please apgsearch B34t5y7/S23 (B-life)

Ian07
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Re: Smallest still lifes with specific islands

Post by Ian07 » February 3rd, 2020, 7:05 am

Entity Valkyrie 2 wrote:
February 3rd, 2020, 2:20 am
Those are impossible (if not in StateInvestigator), since the two red cells need to be suppressed. If you suppress one with a pre-block, the blue cells will turn on. If you suppress one of the red cells (while keeping the blue suppressed), the other red cell can still turn on. If you suppress all four of the red and blue cells, the gray cell will turn on, and if you suppress that, the yellow cell is overpopulated.
Yep, that's what I thought. Thanks for confirming.

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BlinkerSpawn
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Re: Smallest still lifes with specific islands

Post by BlinkerSpawn » February 9th, 2020, 2:45 pm

Hitting the 30+'s:
xs7_134og: (39)

Code: Select all

x = 11, y = 9, rule = LifeHistory
2A3.2A$A.A2.A3.2A$2.A4.C2.A$2.2A2.2C.A$2A3.C3.2A$.A.2C2.2A$A2.C4.A$2A
3.A2.A.A$4.2A3.2A!
xs7_13co: (27)

Code: Select all

x = 10, y = 10, rule = LifeHistory
8.2A$7.A.A$7.A$4.2C.2A$5.C2.A$2A.A2.C$.A.2A.2C$.A2.A2.C$2.A2.A$3.2A!
xs7_1bs: (26)

Code: Select all

x = 10, y = 10, rule = LifeHistory
5.A$4.A.A$5.2A2.A$7.3A$3.3C$4.C.2C$2.A4.C$.A.3A$.A3.2A$2A!
xs7_1rc: (27)

Code: Select all

x = 11, y = 9, rule = LifeHistory
5.2A$5.A$7.A.2A$2A4.3A.A$A2.2C$2.2C.2C$6.C$.A.2A$.2A.2A!
xs7_23ko: (29)

Code: Select all

x = 10, y = 11, rule = LifeHistory
2.2A$2.A$3.A2.2A$2.2A3.A$A2.A.C$2A3.2C$4.C3.2A$3.C2.2A.A$3.2C.A$6.A$
6.2A!
xs7_25q8: (28)

Code: Select all

x = 13, y = 9, rule = LifeHistory
4.C$3.C.C.2A$4.C3.A2.A$2A3.2C.A.A.A$A2.A.C2.A2.A$2.2A3.2A$3.A$.A$.2A!
xs7_2bs: (29)

Code: Select all

x = 10, y = 9, rule = LifeHistory
2A.2A$A.2A$5.C$.2A.2C2.A$.A3.C.A.A$3.2C2.2A$4.C.A$2.A3.A$2.2A2.2A!
xs7_2rc: (29)

Code: Select all

x = 11, y = 11, rule = LifeHistory
3.2A$3.A$5.C.2A.A$4.2C.A.2A$4.C$2A3.2C$A2.A.C2.A$2.2A3.2A$3.A$.A$.2A!
xs7_3as: (31)

Code: Select all

x = 11, y = 9, rule = LifeHistory
4.2A$5.3A$2A.C4.A.A$.A.2C.2A.2A$A2.C3.A$2A2.2C.A$5.C.2A$3.A$3.2A!
xs7_3do: (26)

Code: Select all

x = 9, y = 10, rule = LifeHistory
2.2A$3.A$2.A$2.2A$2A3.2C$A2.2C.C$2.2C$5.4A$2.2A.A2.A$2.A.A!
Is there a similar project for minimal matches? (similar to this except supporting cells can touch the base)
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Ian07
Posts: 555
Joined: September 22nd, 2018, 8:48 am

Re: Smallest still lifes with specific islands

Post by Ian07 » February 9th, 2020, 8:37 pm

Two minor improvements by replacing a bun with a snake: https://www.conwaylife.com/w/index.php? ... ldid=69133 (again, can't be bothered to format them into RLEs so you'll have to look at them yourself on Catagolue)

By the way, since I may not have made this clear initially, everyone is welcome to edit the page themselves to add/improve entries.

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GUYTU6J
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Location: 中国

Re: Smallest still lifes with specific islands

Post by GUYTU6J » April 12th, 2020, 8:38 am

May I add lifeviewers to your wiki page? They could visualize and sort the results by cell counts.
Lifewiki: User:GUYTU6J
---
Someone please find a use for this:

Code: Select all

x = 9, y = 7, rule = B3/S23
6bo$6bobo$5bo2bo$b2o3b2o$o2bo$bobo$2bo!
#C [[ COLOR BACKGROUND 255 200 82 COLOR ALIVE 81 143 51 ]]
I'm not really Equestrated.

Ian07
Posts: 555
Joined: September 22nd, 2018, 8:48 am

Re: Smallest still lifes with specific islands

Post by Ian07 » April 12th, 2020, 10:44 am

GUYTU6J wrote:
April 12th, 2020, 8:38 am
May I add lifeviewers to your wiki page? They could visualize and sort the results by cell counts.
If you're talking about a single LifeViewer containing all of them, sure, preferably at the bottom. Multiple LifeViewers, however, would probably make the page unbearably slow.

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GUYTU6J
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Location: 中国

Re: Smallest still lifes with specific islands

Post by GUYTU6J » April 15th, 2020, 2:54 am

Ian07 wrote:
April 12th, 2020, 10:44 am
GUYTU6J wrote:
April 12th, 2020, 8:38 am
May I add lifeviewers to your wiki page? They could visualize and sort the results by cell counts.
If you're talking about a single LifeViewer containing all of them, sure, preferably at the bottom. Multiple LifeViewers, however, would probably make the page unbearably slow.
There are lots of viewers in the tutorials/glider_synthesis page as well but it works fine.
In a single viewer, it could be something like this:

Code: Select all

x = 1222, y = 107, rule = LifeHistory
2C$C$2.A$.2A17$.C18.2A18.2C20.2A$C.C17.A3.2A14.2C21.A$.C20.C2.A35.C$
21.2C.A36.2C$22.C.2A36.C$20.A39.A$20.2A38.2A14$.2C$C.C$.C18$2.2C18.2C
16.2A19.2A.A15.A.2A.2C17.2A15.C22.2A14.2C18.2A2.2C15.C18.C2.C16.2C$A
2.C19.C16.A.A18.A.2A2.A12.2A.A.C19.A14.C.C17.2A3.A14.C.C17.A2.C.C14.C
.C17.4C16.C$2A2.2C15.A2.2C16.A22.3A17.C.A.2A12.C17.C.C16.A2.C17.2C19.
2C16.C.C38.C$5.C15.2A.C2.A13.2A.2C16.2C20.2C.2A.A12.2C17.C19.2C.C39.A
15.C20.2A16.2C$3.A18.A3.2A13.A2.C17.C.2C35.2C41.2C36.4A36.2A$3.2A15.A
.A20.C2.A18.C36.C37.3A39.A$20.2A20.2C.2A13.4A36.A39.A2.2A.A36.A$45.A
14.A2.2A35.2A41.A.2A35.2A$45.A.A$46.2A11$2E18.2E18.2A3.2A13.2A.2A2.2C
11.2A21.2C16.2A3.2A12.2A18.2C19.2A18.2A5.2A10.2E18.2A18.2A18.2E18.2C.
2A.A14.2A.2A14.2E18.A.2A.2C15.2C17.E18.2C18.2A22.2A20.A14.2C18.C19.A
23.2A16.2A21.A20.2A14.A2.A14.E19.2A22.2A20.2A12.E18.2E23.2C14.2A17.2C
2.2A16.A.2A16.A.A19.2A14.2C19.2A17.2C.2A.A14.2A18.2E19.2A17.2E17.2A2.
2A15.2E18.C19.2C18.2C18.2C19.2C2.C17.2C3.2A9.2E18.2E$.E19.E18.A.A2.A
3.2A10.A.A2.C.C11.A.A20.C17.A5.A12.A2.2A16.C19.A19.A4.A2.A11.E19.A3.
2A14.A19.E19.C.A.2A14.A.2A16.E18.2A.A.C14.A2.C16.2E18.C19.A.A2.2A18.A
15.2A2.A.A12.C2.C16.C.C18.3A16.2A2.A.A16.A3.2A12.2A2.A.A16.2A2.A11.A
2.4A13.E.E19.A22.A3.2A13.2A2.A11.E.E17.E.E17.2A3.C2.A12.A18.C.C2.A16.
2A.A16.2A.A2.A12.2C2.A14.C20.A19.C.A.2A15.A18.E21.A17.E18.A3.A16.E18.
C.C.2A16.C2.A15.C2.2A16.C17.A2.4C14.A2.C2.A2.A9.E20.E$2.E19.E19.A4.C
2.A10.A.A.2C15.A21.C2.2A14.C.A16.2A2.C14.C.C19.C19.C2.3A13.E18.A.3A
14.A21.E18.C24.C15.E22.C14.2A.C.2A15.E18.3C18.A3.A13.2A.A17.A3.A.A13.
C.C17.C.C20.A15.A3.A20.A2.A12.A3.A.A12.2A3.A.A12.3A18.E19.A25.A2.A9.
2A3.2A14.E21.E16.A2.2C2.2A14.C18.C.A40.4A13.C.A16.C21.C16.C19.C19.E
20.C18.E21.C.A.A13.E19.C.C.A17.C.A.A15.C.2A15.C18.2A18.A.A.C.2A.A11.E
18.E$3.2E18.2E17.2A2.2C.A12.2A.C2.A12.2A.2C14.2A3.C2.A13.2C.2A18.2C
15.2C18.2C18.2C17.E.E18.A4.C12.2A20.E19.C19.2C.2C14.E22.2C.2A14.C2.A
16.2E17.C2.A15.2A.C15.A.3A2.2C14.C.2A15.C19.2C17.4A17.C.2A15.C2.3A16.
C.2A13.A2.C3.2A15.3C15.E18.2A17.2A4.3A11.A2.C17.E20.2E18.2C18.2C17.2C
.2A16.3C2.2A13.2C18.C.2A16.C19.2C17.2C17.2C19.2E18.2C18.2E18.2C2.A.A
13.E19.2C2.A15.2C2.A15.2C18.2C22.2A14.A2.C2.A.2A10.E19.E$4.E18.E16.2A
3.C3.2A16.2A12.A2.C15.A2.A.2C16.C2.A15.3C36.C22.3C15.E21.C.2C15.2C16.
2E18.2C17.A2.2C16.2E22.C.2A14.2C18.E16.A3.2A15.A2.2C20.C.C13.2C57.A
19.2C2.A14.C.C19.2C18.2C.C2.A13.2C2.C14.2E21.2C14.A2.2C17.2C.2C14.2E
42.A15.C38.A2.C.C2.A11.A2.2C.C13.2C19.2C18.C20.C19.C19.E20.C17.E21.C.
A.A13.2E21.2A16.C19.C19.C22.2A17.2C14.2E18.2E$41.A.2C2.2A34.C2.A.2A
12.2A17.A2.C17.C3.3A32.C18.3A3.C36.3C14.4C56.2A4.3A.A32.A56.2A21.C20.
2C17.C59.2C15.C2.C17.C.2C15.A2.C20.3C13.A2.C37.3C.C16.2C.2C17.C.C55.
4A14.C2.3A34.2A3.2C13.2A3.2C13.C40.2C.A.2A12.A19.2C39.2C2.A35.2C2.2A
53.A19.A19.A$40.A2.C4.A33.2C.2A.A14.A17.2A.2C18.2A2.A31.2C.2A15.A2.2A
42.3A10.C4.A61.A.2A32.2A77.2C18.A2.C.4A10.A2.2C55.C.C2.A14.2C20.C16.
2A2.2C14.3A17.2A40.C22.C14.3A59.A17.2C.A2.A34.A.A18.2A18.A39.C.2A.A
12.2A18.C41.C.2A36.C.A55.2A18.2A18.2A$40.2A3.A2.A.A31.C2.A2.A12.A20.A
22.A37.A.A17.A41.2A2.A13.3A59.A116.C19.2A3.A2.A10.2A.C55.C.C2.2A34.A
3.A19.C14.A2.2A55.A3.4A14.2A3.A12.A2.3A57.3A17.A.A35.A.4A15.A18.2A37.
A41.A37.A3.A35.A3.A$44.2A3.2A33.A2.A13.2A17.A.A21.A38.A.A19.A38.A.A
15.A62.2A117.A21.A15.A3.A54.C39.5A17.A19.A.A54.5A2.A14.A3.2A14.A2.A
59.A17.2A37.A3.A16.A56.2A39.2A37.2A2.A.A33.2A2.2A$85.2A33.2A22.2A38.A
19.2A39.A16.2A179.2A21.2A12.A.A2.2A116.2A19.A78.A19.2A118.A18.2A141.
2A$480.2A101.A98.A19.2A138.2A$582.A.A96.A.A$583.A98.A8$.2E18.2E18.E
19.2E18.2E18.E19.2E18.2E17.C20.2D18.2D18.D$2.E18.E19.2E19.E18.E19.2E
19.E18.E18.3C.2C16.D18.D19.2D$2.E19.E19.E18.E19.E19.E20.E19.E20.2C2.A
13.D19.D19.D$2.E19.E19.E19.E19.E19.E18.E19.E18.2A4.2A13.D19.D19.D$.E
19.E19.E19.E19.E19.E19.E19.E18.A20.D19.D19.D$2E18.2E18.2E18.2E18.2E
18.2E18.2E18.2E19.A18.2D18.2D18.2D$160.2A!
#C [[ VIEWONLY ]]
Where white is for the central still life island, green for external stabilization, yellow for those proved impossible, and red for those yet to be solved. The list follows the alphanumeric order of the apgcodes for the islands.
Lifewiki: User:GUYTU6J
---
Someone please find a use for this:

Code: Select all

x = 9, y = 7, rule = B3/S23
6bo$6bobo$5bo2bo$b2o3b2o$o2bo$bobo$2bo!
#C [[ COLOR BACKGROUND 255 200 82 COLOR ALIVE 81 143 51 ]]
I'm not really Equestrated.

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Saka
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Re: Smallest still lifes with specific islands

Post by Saka » April 15th, 2020, 3:06 am

Took a crack at the red ones

Code: Select all

x = 49, y = 23, rule = LifeHistory
4.2D18.2D18.D$5.D18.D19.2D$4.D19.D19.D$4.D19.D19.D$4.D19.D19.D$3.2D
18.2D18.2D9$47.2A$2A2.2C18.2C19.C2.A$A.A2.C15.A2.C17.A2.2C$2.A.C3.2A
10.A.A.C2.A13.A.A.C$.2A.C.A2.A11.A2.C.A.A13.A2.C$.A2.C.2A16.C2.A17.C.
2A$3.2C.A16.2C19.2C.2A$8.A$7.2A!
Not sure how to check if they are minimal
EDIT: Improvements

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

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A for awesome
Posts: 2048
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Location: 0x-1
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Re: Smallest still lifes with specific islands

Post by A for awesome » April 15th, 2020, 11:25 am

Saka wrote:
April 15th, 2020, 3:06 am
Took a crack at the red ones

Code: Select all

x = 49, y = 23, rule = LifeHistory
4.2D18.2D18.D$5.D18.D19.2D$4.D19.D19.D$4.D19.D19.D$4.D19.D19.D$3.2D
18.2D18.2D9$47.2A$2A2.2C18.2C19.C2.A$A.A2.C15.A2.C17.A2.2C$2.A.C3.2A
10.A.A.C2.A13.A.A.C$.2A.C.A2.A11.A2.C.A.A13.A2.C$.A2.C.2A16.C2.A17.C.
2A$3.2C.A16.2C19.2C.2A$8.A$7.2A!
Not sure how to check if they are minimal
EDIT: Improvements
The first one can be made slightly smaller:

Code: Select all

x = 8, y = 7, rule = LifeHistory
6.2A$2A.2C2.A$A3.C.A$.A.C2.2A$2A.C.A$A2.C.A$2.2C.2A!
The other two are almost certainly minimal.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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BlinkerSpawn
Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Smallest still lifes with specific islands

Post by BlinkerSpawn » April 15th, 2020, 6:11 pm

A for awesome wrote:
April 15th, 2020, 11:25 am
The first one can be made slightly smaller:

Code: Select all

x = 8, y = 7, rule = LifeHistory
6.2A$2A.2C2.A$A3.C.A$.A.C2.2A$2A.C.A$A2.C.A$2.2C.2A!
The other two are almost certainly minimal.
-4:

Code: Select all

x = 10, y = 6, rule = LifeHistory
3.2C.2A.A$2A2.C.A.2A$2A.C2.A$3.C.2A$3.C$2.2C!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

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A for awesome
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Re: Smallest still lifes with specific islands

Post by A for awesome » April 15th, 2020, 8:03 pm

BlinkerSpawn wrote:
April 15th, 2020, 6:11 pm
A for awesome wrote:
April 15th, 2020, 11:25 am
The first one can be made slightly smaller:

Code: Select all

rle
The other two are almost certainly minimal.
-4:

Code: Select all

x = 10, y = 6, rule = LifeHistory
3.2C.2A.A$2A2.C.A.2A$2A.C2.A$3.C.2A$3.C$2.2C!
Well duh, how did I miss that! Anyway, one of the yellow ones is not, in fact, impossible:

Code: Select all

x = 11, y = 8, rule = LifeHistory
2A2.2E$A.A2.E2.A$2.2A.E.A.A$2.A2.E.A.A$4.E2.2A$3.2E.A$6.A$6.2A!
EDIT: Also, I guess this is my 2000th post, I didn't even realize!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

Hunting
Posts: 3042
Joined: September 11th, 2017, 2:54 am

Re: Smallest still lifes with specific islands

Post by Hunting » April 15th, 2020, 8:52 pm

Congratulations to your 2000th post, A for Awesome!
MLP will live on forever, so does John Horton Conway.
Moosey wrote:
February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
My TODO list

LeapLife - DirtyLife - LispLife

I could make a rule in ten seconds flat

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otismo
Posts: 308
Joined: August 18th, 2010, 1:41 pm
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Re: Smallest still lifes with specific islands

Post by otismo » April 15th, 2020, 9:44 pm

Congratulations on your 2444th post, @ Hunting !

let us keep spreading the good vibez

Cheers !
In the Game of Life there are no winners there are no losers there are only SURVIVORS.
.....**
...****
.******
*( ͡° ͜ʖ ͡°)*

Code: Select all

#CXRLE Pos=0,0
x = 26, y = 34, rule = B3/S23
23bo$23bobo$23b2o9$2b3o2$o5bo$o5bo$o5bo2$2b3o5b2o$10b2o3$2b2o$2b2o10$
15b2o$15b2o!

Hunting
Posts: 3042
Joined: September 11th, 2017, 2:54 am

Re: Smallest still lifes with specific islands

Post by Hunting » April 15th, 2020, 11:52 pm

What the F!
MLP will live on forever, so does John Horton Conway.
Moosey wrote:
February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
My TODO list

LeapLife - DirtyLife - LispLife

I could make a rule in ten seconds flat

yujh
Posts: 1019
Joined: February 27th, 2020, 11:23 pm
Location: China
Contact:

Re: Smallest still lifes with specific islands

Post by yujh » April 16th, 2020, 1:14 am

Hunting wrote:
April 15th, 2020, 11:52 pm
What the F!
Congratulations on your 2454th post!(请文明用语(jk))
B34kz5e7c8/S23-a4ityz5k!!!
Mission: find a rule with 2-5ob,7-15d,3-5o ships and 4 sparky hp osc.
B2ikn35j6i/S23-a8
B2ck3ar4ac5e6c7/S1e2-an3ejnr4air5iy6c7c8

Hunting
Posts: 3042
Joined: September 11th, 2017, 2:54 am

Re: Smallest still lifes with specific islands

Post by Hunting » April 16th, 2020, 1:18 am

yujh wrote:
April 16th, 2020, 1:14 am
Hunting wrote:
April 15th, 2020, 11:52 pm
What the F!
Congratulations on your 2454th post!(请文明用语(jk))
这有什么好Congrat的。。。
MLP will live on forever, so does John Horton Conway.
Moosey wrote:
February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
My TODO list

LeapLife - DirtyLife - LispLife

I could make a rule in ten seconds flat

User avatar
Saka
Posts: 3430
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

Re: Smallest still lifes with specific islands

Post by Saka » April 16th, 2020, 1:35 am

To post something useful, I took on some xs10's
xs10_drz23

Code: Select all

x = 5, y = 7, rule = LifeHistory
2C$.C$C$2C$.C$.C.2A$2C.2A!
(above is minimal)
xs10_26hv

Code: Select all

x = 12, y = 9, rule = LifeHistory
4.2A$2A3.A$A2.A$2.3A$6.2C$4.2C.C2.A$2.A2.C.C.A.A$2.2A3.C2.A$6.2C!
xs10_1vz65

Code: Select all

x = 9, y = 8, rule = LifeHistory
4.2C$5.C$5.C.2A$A.2A.C.2A$2A.A.C$5.C.2A$4.C2.2A$4.2C!

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
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yujh
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Re: Smallest still lifes with specific islands

Post by yujh » April 16th, 2020, 1:45 am

Hunting wrote:
April 16th, 2020, 1:18 am
yujh wrote:
April 16th, 2020, 1:14 am
Hunting wrote:
April 15th, 2020, 11:52 pm
What the F!
Congratulations on your 2454th post!(请文明用语(jk))
这有什么好Congrat的。。。
我每天都alive就好了.
Also, four cells of yours, Saka.

Code: Select all

x=10,y=8,rule=LifeHistory
4.2C$5.C$5.C.2A$A.2A.C.2A$2A.A.C$5.C$4.C$4.2C!
B34kz5e7c8/S23-a4ityz5k!!!
Mission: find a rule with 2-5ob,7-15d,3-5o ships and 4 sparky hp osc.
B2ikn35j6i/S23-a8
B2ck3ar4ac5e6c7/S1e2-an3ejnr4air5iy6c7c8

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