Collision patterns on mollusc shells

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 syste...

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Main Authors: P. J. Plath, J. K. Plath, J. Schwietering
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022697000071
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author P. J. Plath
J. K. Plath
J. Schwietering
author_facet P. J. Plath
J. K. Plath
J. Schwietering
author_sort P. J. Plath
collection DOAJ
description 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.
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institution OA Journals
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publishDate 1997-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-b7d27e8a2479445188a8764390364a742025-08-20T02:19:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1997-01-0111577610.1155/S1026022697000071Collision patterns on mollusc shellsP. J. Plath0J. K. Plath1J. Schwietering2Institute of Applied and Physical Chemistry, University of Bremen, Bibliothekstraße , Bremen NW 2 D-28334, GermanyInstitute of Applied and Physical Chemistry, University of Bremen, Bibliothekstraße , Bremen NW 2 D-28334, GermanyInstitute of Applied and Physical Chemistry, University of Bremen, Bibliothekstraße , Bremen NW 2 D-28334, GermanyOn 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.http://dx.doi.org/10.1155/S1026022697000071Cellular automataChemical wavesSolitonsSea shell patterns.
spellingShingle P. J. Plath
J. K. Plath
J. Schwietering
Collision patterns on mollusc shells
Discrete Dynamics in Nature and Society
Cellular automata
Chemical waves
Solitons
Sea shell patterns.
title Collision patterns on mollusc shells
title_full Collision patterns on mollusc shells
title_fullStr Collision patterns on mollusc shells
title_full_unstemmed Collision patterns on mollusc shells
title_short Collision patterns on mollusc shells
title_sort collision patterns on mollusc shells
topic Cellular automata
Chemical waves
Solitons
Sea shell patterns.
url http://dx.doi.org/10.1155/S1026022697000071
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AT jkplath collisionpatternsonmolluscshells
AT jschwietering collisionpatternsonmolluscshells