Chapter 5: Two Dimensions and Beyond

Section 2: Cellular Automata

Projections from 3D [cellular automata]

Looking from above, with closer cells shown darker, the following show patterns generated after 30 steps, by (a) the rule at the top of page 183, (b) the rule at the bottom of page 183, (c) the rule where a cell becomes black if exactly 3 out of 26 neighbors were black and (d) the same as (c), but with a 3×3×1 rather than a 3×1×1 initial block of black cells:

Image Source Notebooks:

From Stephen Wolfram: A New Kind of Science [citation]