Variations of Cellular Automata
There's ton's of work in enriching the rules of cellular automata. Yet it remains less explored to play the cellular automata on spaces embedded with general topology other than a plane with lattice structure. George Maydwell has built it on hexagonal plane. Let's try some other polyhedrons!
The original Conway's life game
Let's call this special kind of life Cubicers and see how they may live on other spaces!
Generalization #1: Life game on a Dodecahedron
Let's call this rule 1/2-2
Enjoy the rhythm of even more patterns of life on the dodecahedron with 1/2-2 rule
Yet another exhibition of rule 2/3-3
Generalization #2. On hexagonal grids with rule 1/2-2
Another example
We can also generalize on rules!
this time the rule is a little bit more complicated. A cubicer can survive for at most 4 periods. At age 1and 3 they are vulnerable and can only survive the case of 2/3/4 neighbors while At age 2 they are strong thus can survive the case of 1/2/3/4/5 neighbors. At age 4 they will die in the next period for sure.
On 2x2x2 cubic
The 2x2x2 cubic contains enough member to generate interesting patterns while each of the grids are equivalent in position.