Cellular Automata Test

Proof of Concept, Using Conway's Game of Life to generate or de-generate shapes, in this case ShowBlender.

Does anyone have experience with Reverse Cellular Automata, or, more practically, generating stable patterns(Still lifes/Oscillators/Spaceships/Garden Of Eden) using Conway's Game of Life or other cellular automata techniques(Critters/Highlander/Block cellular automaton is a better option)? Any math majors understand Curtis–Hedlund–Lyndon Theory enough to explain it to me?