title: Turing patterns with pentagonal symmetry.
abstract: 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.
authors.affiliation: Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 1-1010, Querétaro 76000, Mexico.
authors.forename: J L
authors.initials: JL
authors.lastname: Aragón
authors.forename: M
authors.initials: M
authors.lastname: Torres
authors.forename: D
authors.initials: D
authors.lastname: Gil
authors.forename: R A
authors.initials: RA
authors.lastname: Barrio
authors.forename: P K
authors.initials: PK
authors.lastname: Maini