A rule I came up with for cellular automata back in February 2010.
Rule in isotropic non-totalistic notation: /1c/3.
Rule in base 64 MAP notation:
MAPSAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/3
3 states for a cell.
Black = dead
Red = alive
Yellow = trail left behind by red and dies after 1 generation
The rule basically is the red cell will pour into to any open black space and leave a yellow cell behind it which dies in 1 generation. The red can never fill a space that another red is trying to also fill, and it can not fill a yellow cell. In either of those cases, the red cell will die and leave a yellow cell behind it.
It's a replicator akin to a Fredkin replicator.
It creates a pattern that repeats after 8 generations, and as it builds the pattern gets larger to form a Sierpinski triangle that flies across the screen. The entire pattern is self similar like a fractal that grows.
