Chapter 7: Mechanisms in Programs and Nature

Section 6: The Phenomenon of Continuity

[Circularity in] other rules

The pictures below show patterns generated after 10,000 steps with several rules, starting respectively from rows of 7, 6, 7 and 11 cells (compare pages 177 and 181). The outer boundaries are somewhat smooth, though definitely not circular. In the second rule shown, the interior of the pattern always continues to change; in the others it remains essentially fixed.

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