Discrete Dynamics in Nature and Society (Jan 1997)

Collision patterns on mollusc shells

  • P. J. Plath,
  • J. K. Plath,
  • J. Schwietering

DOI
https://doi.org/10.1155/S1026022697000071
Journal volume & issue
Vol. 1, no. 1
pp. 57 – 76

Abstract

Read online

On mollusc shells one can find famous patterns. Some of them show a great resemblance to the soliton patterns in one-dimensional systems. Other look like Sierpinsky triangles or exhibit very irregular patterns. Meinhardt has shown that those patterns can be well described by reaction–diffusion systems [1]. However, such a description neglects the discrete character of the cell system at the growth front of the mollusc shell.

Keywords