Game of Life in 3D Layers

This Demonstration shows the Game of Life in 3D layers. Each step is plotted as a distinct layer and each cube or sphere has a unique color as a gradient.

The Game of Life is a two-dimensional totalistic cellular automaton with Moore neighborhood, discovered by John H. Conway in 1970. The rules are applied to the initial condition (configuration) and to each subsequent result, like a discrete dynamical system. Some initial conditions produce repetitive results, while others can produce complex patterns.