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