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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.

Original publication

DOI

10.1103/PhysRevE.65.051913

Type

Journal article

Journal

Phys Rev E Stat Nonlin Soft Matter Phys

Publication Date

05/2002

Volume

65