Chapter 6 Notes > Section 2 > Page 948 > Note (k)

	Notes for: Starting from Randomness | Four Classes of Behavior 2D class 4 cellular automata No 5- or 9-neighbor totalistic rules nor 5-neighbor outer totalistic ones appear to yield class 4 behavior with a white background. But among 9-neighbor outer totalistic rules there are examples with codes 224 (Game of Life), 226, 4320 (sometimes called HighLife), 5344, 6248, 6752, 6754 and 8416, etc. It turns out that the simplest moving structures are the same in codes 224, 226 and 4320. PAGE IMAGE RELATED LINKS Pages related to this note: 245, 248, 249 All notes on this page: History [of emergence of order] Different runs [of initially random cellular automata] [Subset of] elementary rules States of matter [and cellular automaton classes] Class 4 [cellular automaton] rules Frequencies of [cellular automaton] classes History [of cellular automaton classes] Subclasses within class 4 Undecidability [of cellular automaton classes] [Classes in] continuous cellular automata Nearby cellular automaton rules 2D class 4 cellular automata All notes for this section Downloadable programs for this page Downloadable images Search Forum for this page Post a comment NKS | Online FAQs

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