New families of Still Lifes / Agars

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Potato Imaginator
Posts: 20
Joined: September 15th, 2023, 1:36 am

New families of Still Lifes / Agars

Post by Potato Imaginator »

This thread contains all families of still lives / Agars i've found so far: Number 1 :

Code: Select all

x = 10, y = 10, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2ob2o$o2bo2bo2bo$o2bo2bo2bo$b2ob2ob2o$3bo2bo$3b
o2bo$4b2o!
Last edited by Potato Imaginator on September 15th, 2023, 6:45 am, edited 3 times in total.
Potato Imaginator
Posts: 20
Joined: September 15th, 2023, 1:36 am

Re: Is this 32 celled still life found ?

Post by Potato Imaginator »

Seems like you can make lot of these:

Code: Select all

x = 16, y = 16, rule = B3/S23
7b2o$6bo2bo$6bo2bo$4b2ob2ob2o$3bo2bo2bo2bo$3bo2bo2bo2bo$b2ob2ob2ob2ob
2o$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$b2ob2ob2ob2ob2o$3bo2bo2bo2bo$3bo
2bo2bo2bo$4b2ob2ob2o$6bo2bo$6bo2bo$7b2o!
Last edited by Potato Imaginator on September 15th, 2023, 6:44 am, edited 1 time in total.
galoomba
Posts: 125
Joined: February 28th, 2023, 10:19 am

Re: Is this 32 celled still life found ?

Post by galoomba »

Potato Imaginator wrote: September 15th, 2023, 4:16 am I found this new 32 celled still life and i couldn't find it in wiki of patterns with 32 cells:

Code: Select all

x = 10, y = 10, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2ob2o$o2bo2bo2bo$o2bo2bo2bo$b2ob2ob2o$3bo2bo$3b
o2bo$4b2o!
There are 5.7 billion 32-cell still lifes, so of course they don't all have pages.
Potato Imaginator
Posts: 20
Joined: September 15th, 2023, 1:36 am

Re: New families of Still Lifes / Agars

Post by Potato Imaginator »

Number 2:

Code: Select all

x = 24, y = 24, rule = B3/S23
2ob2o2b2o2b2o2b2o2b2ob2o$2ob2o2b2o2b2o2b2o2b2ob2o2$2ob18ob2o$2obo16bo
b2o$3bob14obo$3bobo12bobo$2obobob10obobob2o$2obobobo8bobobob2o$3bobob
ob6obobobo$3bobobobo4bobobobo$2obobobobob2obobobobob2o$2obobobobob2ob
obobobob2o$3bobobobo4bobobobo$3bobobob6obobobo$2obobobo8bobobob2o$2ob
obob10obobob2o$3bobo12bobo$3bob14obo$2obo16bob2o$2ob18ob2o2$2ob2o2b2o
2b2o2b2o2b2ob2o$2ob2o2b2o2b2o2b2o2b2ob2o!
Last edited by Potato Imaginator on September 15th, 2023, 6:44 am, edited 1 time in total.
Potato Imaginator
Posts: 20
Joined: September 15th, 2023, 1:36 am

Re: New families of Still Lifes / Agars

Post by Potato Imaginator »

Number 3:

Code: Select all

x = 7, y = 15, rule = B3/S23
b2o$b2o$5bo$b5o$o$b5o$6bo$b5o$o$b5o$6bo$b5o$bo$4b2o$4b2o!
Last edited by Potato Imaginator on September 15th, 2023, 6:44 am, edited 1 time in total.
Potato Imaginator
Posts: 20
Joined: September 15th, 2023, 1:36 am

Re: New families of Still Lifes / Agars

Post by Potato Imaginator »

Number 4: Spirals:

Code: Select all

x = 17, y = 16, rule = B3/S23
4b2ob2o$4b2ob2o2$4b7o$2obo7bob2o$2obo2b3o2bobo$3bobo3bobobo$3bobobobo
bobob2o$2obobob2o2bobob2o$2obobo5bobo$3bo2b5o2bob2o$3bo9bob2o$4b9o2$4b
2o2b2ob2o$4b2o2b2ob2o!
Last edited by Potato Imaginator on September 15th, 2023, 6:43 am, edited 1 time in total.
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Entity Valkyrie 2
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Re: New families of Still Lifes / Agars

Post by Entity Valkyrie 2 »

Potato Imaginator wrote: September 15th, 2023, 5:54 am Number 4: Spirals:

Code: Select all

x = 17, y = 16, rule = B3/S23
4b2ob2o$4b2ob2o2$4b7o$2obo7bob2o$2obo2b3o2bobo$3bobo3bobobo$3bobobobo
bobob2o$2obobob2o2bobob2o$2obobo5bobo$3bo2b5o2bob2o$3bo9bob2o$4b9o2$4b
2o2b2ob2o$4b2o2b2ob2o!
Welcome to the forums!

Note that the number of still lives increases very rapidly, so most still lives about 16 or more cells won't have wiki pages.
Also, most still lives like that don't really have a particular "use" (in contrast with the still life below, the eater 2)
A good place to start would be the forum rules.

Also, use [ code ][ /code ] tags instead of [ viewer ][ /viewer ]: (without the spaces)

Code: Select all

x = 23, y = 25, rule = B3/S23
18bo$17bobo$17bobo$16b2ob3o$22bo$16b2ob3o$16b2obo$12b2o$13b2o$12bo3$8b
2o$9b2o$8bo3$4b2o$5b2o$4bo3$2o$b2o$o!
Bx222 IS MY WORST ENEMY.

HyperConway — explore cellular automata on HyperRogue's hyperbolic tiling

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Potato Imaginator
Posts: 20
Joined: September 15th, 2023, 1:36 am

Re: New families of Still Lifes / Agars

Post by Potato Imaginator »

Number 5:

Code: Select all

x = 10, y = 17, rule = B3/S23
b2o4b2o$bobo2bobo$3bo2bo$3b2obo$2obo2bob2o$2obob2ob2o$3bo2bo$2ob2obo$
2obo2bob2o$3bob2ob2o$3bo2bo$2ob2obob2o$2obo2bob2o$3bob2o$3bo2bo$bobo2b
obo$b2o4b2o!
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Re: New families of Still Lifes / Agars

Post by Entity Valkyrie 2 »

Well... I guess there's infinitely many families...
Bx222 IS MY WORST ENEMY.

HyperConway — explore cellular automata on HyperRogue's hyperbolic tiling

Creator of the rule StateInvestigator
Please click here for my own pages (and oscillator stamp collections)
galoomba
Posts: 125
Joined: February 28th, 2023, 10:19 am

Re: New families of Still Lifes / Agars

Post by galoomba »

Entity Valkyrie 2 wrote: September 15th, 2023, 6:36 am Note that the number of still lives increases very rapidly, so most still lives about 16 or more cells won't have wiki pages.
13, rather.
TYCF
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Re: Is this 32 celled still life found ?

Post by TYCF »

Potato Imaginator wrote: September 15th, 2023, 4:18 am Seems like you can make lot of these:

Code: Select all

x = 16, y = 16, rule = B3/S23
7b2o$6bo2bo$6bo2bo$4b2ob2ob2o$3bo2bo2bo2bo$3bo2bo2bo2bo$b2ob2ob2ob2ob
2o$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$b2ob2ob2ob2ob2o$3bo2bo2bo2bo$3bo
2bo2bo2bo$4b2ob2ob2o$6bo2bo$6bo2bo$7b2o!
I think it is the marshland agar.

Code: Select all

#C I am inactive currently.
x = 5, y = 3, rule = B3/S23
obobo$2ob2o$obobo!

Code: Select all

x = 5, y = 4, rule = B35/S234i8
2bo$bobo$2ob2o$5o!
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