ThePlayzr wrote: ↑July 21st, 2025, 1:55 am
Can anyone find a still life that works in life, but doesn't work in b34zs23 or b36es23? Also, can someone find one smaller than 19 cells for b34cs23? The 19 cell one is shown below:
It's not too hard to get
rlifesrc to find them, by manually constructing an RLE. It's probably faster to use LLS but I don't have it set up right now and the searches are short. All listed results are minimal in terms of cell count.
There are 16 14-cell still lifes containing a B4z arrangement:
Code: Select all
#C Results generated from rlifesearch with the following string on a 15x15 board:
#C 15?$15?$15?$15?$15?$15?$6?b2o6?$6?3b6?$6?2ob6?$15?$15?$15?$15?$15?$15?!
x = 42, y = 33, rule = B34z/S23
4b2o7b2o4b2obo5b2o10b2o$4b2o7b2o3bo2b2o4bob3o5b2o2bo$18b2o6bo5bo3bob3o
$ob3obo4b3obo4b2obo3b3obo3bo$2obob2o2bo2bob2o4bob2o5b2o5b3o$9b2o27bo3$
2b2o7b2o8b2o4b2o7b2o$2bo2bo4bo2bo5bo2bo4bo2bo4bo2bo$3b3o5b3o5b3o6b3o5b
3o2$b3o5b3o5b3o6b3o5b3o$o2bo4bo2bo4bo2bo5bo2bo4bo2bo$2o6b2o6b2o8b2o6b
2o3$4b2o8b2o5b2o5b2o4b2o$3bo2bo5bo2bo5b2o4bo2bo3bo2bo$3b3o6b3o13b3o4b
3o$19b3obo$b3o6b3o7bob2o2b3o4b3o$o2bo5bo2bo5bo7bo2bo3bo2bo$b2o7b2o6b2o
8b2o5b2o3$2b2o$bo2bo$2b3o2$3o$o2bo$b2o!
Only one fits into a 6x5 bounding box, it is the third listed in the above pattern. If pseudo-still lifes are included, two snakes can make B4z when placed together.
This 15-cell strict still life is the only of its cell count containing a B6e arrangement:
Code: Select all
#C Results generated from rlifesearch with the following string on a 15x15 board:
#C 15?$15?$15?$15?$15?$15?$6?obo6?$6?2bo6?$6?3o6?$15?$15?$15?$15?$15?$15?!
x = 7, y = 7, rule = B36e/S23
2bo$bobo$o2bo$b3obo$4bobo$3bo2bo$4b2o!
This 16-cell strict still life is the only of its cell count containing a B4c arrangement, and was a pain to find buried in snake+snake+blub results:
Code: Select all
#C Results generated from rlifesearch with the following string on a 15x15 board:
#C 15?$15?$15?$15?$15?$15?$6?obo6?$6?3b6?$6?obo6?$15?$15?$15?$15?$15?$15?!
x = 7, y = 7, rule = B34c/S23
b2o$o2bo$b2o2b2o$3b2obo$3bo$4bobo$5b2o!
EDIT: I already knew that, but I had already checked all 15-cell patterns and snake+snake+4 cells is also 16 cells.
That's the bunny. (she/her)