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Turing Patterns with Turing Machines: Emergence and Low-level Structure Formation
[article]
2012
arXiv
pre-print
Despite having advanced a reaction-diffusion model of ODE's in his 1952 paper on morphogenesis, reflecting his interest in mathematical biology, Alan Turing has never been considered to have approached a definition of Cellular Automata. However, his treatment of morphogenesis, and in particular a difficulty he identified relating to the uneven distribution of certain forms as a result of symmetry breaking, are key to connecting his theory of universal computation with his theory of biological
arXiv:1210.1572v1
fatcat:mcz7kd2uezgshdwze2mgkzq2ci