Methulesahs with the biggest final populations

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Azerty
Posts: 5
Joined: May 2nd, 2024, 2:04 am

Methulesahs with the biggest final populations

Post by Azerty »

Hello, I created this topic because I wanted to make a list of the n cell pattern that make the biggest final population in cells.

If you discover a pattern that could replace another pattern or get added to the list, you can submit it below by putting it's RLE text.

Here are the rules:
- Infinitely growing patterns are not allowed, except if they eventually get destroyed (eg. a glider hit the engine).
- Only the final population count. The lifespan and the hitbox don't matter.
- The starting pattern must fit in a n x n bounding box where n is equal to the number of cells the pattern contains.
The maximum bounding box size is here to prevent people from building an infinite growing machine and put a stable pattern very far away to destroy it.
- If the final population contains oscillators or spaceships that change population (eg pulsars), only the maximal population, the minimal population does not.

Current winner patterns and their final population cells count:
1. 0
2. 0
3. 4 cells (pre-block)

Code: Select all

x = 2, y = 2, rule = B3/S23
o$2o!
4. 12 cells (T-tetromino)

Code: Select all

x = 3, y = 2, rule = B3/S23
3o$bo!
5. 116 cells (R-pentomino)

Code: Select all

x = 3, y = 3, rule = B3/S23
o$3o$bo!
7. 633 cells (acorn)

Code: Select all

x = 7, y = 3, rule = B3/S23
bo$3bo$2o2b3o!
8. 952 cells

Code: Select all

x = 6, y = 4, rule = B3/S23
4bo$4b2o$2ob2o$o!
9. 1744 cells (bunnies)

Code: Select all

x = 8, y = 4, rule = B3/S23
4bobo$obo2bo$bo3bo$bo5bo!
11. 2898 cells

Code: Select all

x = 8, y = 5, rule = B3/S23
7bo$obo2b2o$o5bo$3bo$b3o!
13. 5151 cells

Code: Select all

x = 8, y = 7, rule = B3/S23
6bo$3bobo$o4bo$b2o$2bobo$3bo$5b3o!
23. 13959 cells

Code: Select all

x = 14, y = 16, rule = B3/S23
5b4o$9bo$9bo$10b2o6$o$o$o$b2o$b3o7b3o$b2o7bo$10bo!
25. 57646 cells

Code: Select all

x = 16, y = 15, rule = B3/S23
5b4o$9bo$9bo$10b2o4$13b3o$15bo$o13b2o$o12bo$o$b2o$b3o$b2o!
27. 17954325 cells

Code: Select all

x = 23, y = 21, rule = B3/S23
6bobo2$5bobob2o$11bo2$11b2o5$bo$obo$19bobo$o2bo18bo$2b2o14bo2bo$3bo14b
2o3$16bo$16bo$16bo!
Last edited by Azerty on June 7th, 2024, 3:20 pm, edited 26 times in total.
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confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Biggest cells count from final population possible to get starting with n cells

Post by confocaloid »

Azerty wrote: June 1st, 2024, 3:36 pm I created this topic because I want to make a list of the n cell pattern that make the biggest stage population in cells.
[...]
Looking through List of long-lived methuselahs, here are some candidates:
  • multum in parvo, acorn: initial population 7, final population 633
  • 7468M: initial population 8, final population 952
  • Bunnies: initial population 9, final population 1744
  • initial population 10, final population 3611:
    dani wrote: March 17th, 2022, 3:28 am[...]

    Code: Select all

    x = 39, y = 78, rule = B3/S23
    3o2b2o$3bo$5bo75$36b3o!
    
    [...]
  • 24827M: initial population 13, final population 5151
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
Azerty
Posts: 5
Joined: May 2nd, 2024, 2:04 am

Re: Biggest cells count from final population possible to get starting with n cells

Post by Azerty »

confocaloid wrote: June 1st, 2024, 3:48 pm
Azerty wrote: June 1st, 2024, 3:36 pm I created this topic because I want to make a list of the n cell pattern that make the biggest stage population in cells.
[...]
Looking through List of long-lived methuselahs, here are some candidates:
  • multum in parvo, acorn: initial population 7, final population 633
  • 7468M: initial population 8, final population 952
  • Bunnies: initial population 9, final population 1744
  • initial population 10, final population 3611:
    dani wrote: March 17th, 2022, 3:28 am[...]

    Code: Select all

    x = 39, y = 78, rule = B3/S23
    3o2b2o$3bo$5bo75$36b3o!
    
    [...]
  • 24827M: initial population 13, final population 5151
I added the 24827M pattern but I didn't added the 10 cells one because the bounding box of is too large.
The acorn, the 7468M and the bunnies were already in the list.
g0t0
Posts: 42
Joined: August 3rd, 2026, 7:05 am

Re: Methulesahs with the biggest final populations

Post by g0t0 »

What about this:

Code: Select all

x = 235, y = 189, rule = B3/S23
28$52bo$52b2o111$175bo$173bob2o$173bobo$173bo$171bo$169bobo!
for >12, it is infinite.
Replicating or dying, that is a question.
melwin22
Posts: 48
Joined: September 9th, 2017, 5:40 am

Re: Methulesahs with the biggest final populations

Post by melwin22 »

g0t0 wrote: August 21st, 2026, 8:37 am What about this:

Code: Select all

x = 235, y = 189, rule = B3/S23
28$52bo$52b2o111$175bo$173bob2o$173bobo$173bo$171bo$169bobo!
for >12, it is infinite.
This was specifically disallowed by rule 3. It has a bounding box much larger than 13x13.
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