The Mathematical Institute, University of Oxford, Eprints Archive

How to generate pentagonal symmetry using Turing systems

Aragón, J. L. and Torres, M. and Gil, D. and Barrio, R. A. and Maini, P. K. (2002) How to generate pentagonal symmetry using Turing systems. Physical Review E, 65 (5). 051913-1-051913-9.


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We explore numerically the formation of Turing patterns in a confined circular domain with small aspect ratio. Our results show that stable fivefold patterns are formed over a well defined range of disk sizes, offering a possible mechanism for inducing the fivefold symmetry observed in early development of regular echinoids. Using this pattern as a seed, more complex biological structures can be mimicked, such as the pigmentation pattern of sea urchins and the plate arrangements of the calyxes of primitive camerate crinoids.

Item Type:Article
Uncontrolled Keywords:n/a
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:392
Deposited By: Philip Maini
Deposited On:20 Nov 2006
Last Modified:29 May 2015 18:21

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