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The evolution of the string of cells depends upon the previous state, beginning with the initial state. If we let it evolve long enough, the pattern will grow to infinite length

Salingaros, Nikos A., and Michael W. Mehaffy. "Ch 13. Self-Organization" In Design for a Living Planet: Settlement, Science, & the Human Future. Design for a Living Planet: Settlement, Science, & the Human Future. Levellers/Sustasis Press and Vajra Publications, 2015. Digital Library

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"Figures." In Design for a Living Planet: Settlement, Science, & the Human Future. DFLAP. Levellers/Sustasis Press and Vajra Publications, 2015.
Mehaffy, Michael W., and Nikos Angelos Salingaros. "Ch 13. Self-Organization." In Design for a Living Planet: Settlement, Science, & the Human Future, 138-146. DFLAP. Levellers/Sustasis Press and Vajra Publications, 2015.