Chapter 5: Two Dimensions and Beyond

Section 2: Cellular Automata

Cellular automaton art

2D cellular automata can be used to make a wide range of designs for rugs, wallpaper, and similar objects. Repeating squares of pattern can be produced by using periodic boundary conditions. Rules with more than two colors will sometimes be appropriate. For rugs, it is typically desirable to have each cell correspond to more than one tuft, since otherwise with most rules the rug looks too busy. (Compare page 872.)

Image Source Notebooks:

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