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Reference
Jonathan McCabe: Cyclic Symmetric Multi-Scale Turing Patterns. In: Bridges 2010. Pages 387–390
DOI
Abstract
In his 1952 paper “The Chemical Basis of Morphogenesis” Alan Turing suggested that a system of chemical substances, reacting together and diffusing through a tissue, would account for the generation of patterns in multi- cellular organisms. In this paper a simplified computer model is derived from his idea, successively elaborated and used for the production of artworks reminiscent of electron microscope images of diatoms.
Extended Abstract
Bibtex
Used References
[1] A. M. Turing, The Chemical Basis of Morphogenesis, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, Vol. 237, pp. 37-72. 1952.
[2] V. Castets, E. Dulos, J. Boissonade and P. De Kepper, Experimental Evidence of a Sustained Standing Turing-type Nonequilibrium Chemical Pattern, Physical Review Letters Vol. 64, pp. 2953–2956. 1990.
[3] I. Lengyel and I. R. Epstein, Modeling of Turing Structures in the Chlorite—Iodide—Malonic Acid— Starch Reaction System, Science Vol. 251. no. 4994, pp. 650-652. 1991.
[4] G. Turk, Generating Textures on Arbitrary Surfaces Using Reaction-Diffusion, Computer Graphics Vol. 25, No. 4, pp. 289-298. 1991.
[5] L. Yang, M. Dolnik, A. M. Zhabotinsky and I. R. Epstein, Spatial Resonances and Superposition Patterns in a Reaction-Diffusion Model with Interacting Turing Modes, Physical Review Letters Vol. 88, pp. 208303-1 - 208303-4. 2002.
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Full Text
http://archive.bridgesmathart.org/2010/bridges2010-387.pdf
