Algorithmic Beauty of Sea Shells

Algorithmic Beauty of Sea Shells

by Hans Meinhardt
     
 

ISBN-10: 0387578420

ISBN-13: 9780387578422

Pub. Date: 08/31/1994

Publisher: Springer-Verlag New York, LLC

The patterns on the shells of tropical sea snails are not only compellingly beautiful but also tell a tale of biological development. The decorative patterns are records of their own genesis, which follows laws like those of dune formation. Hans Meinhardt has analyzed the dynamical processes that form these patterns and retraced them faithfully in computer simulations…  See more details below

Overview

The patterns on the shells of tropical sea snails are not only compellingly beautiful but also tell a tale of biological development. The decorative patterns are records of their own genesis, which follows laws like those of dune formation. Hans Meinhardt has analyzed the dynamical processes that form these patterns and retraced them faithfully in computer simulations. An accompanying diskette with the corresponding algorithms offers wide scope to those with a PC to try their hand at simulating and varying the patterns. The enlarged edition includes a new chapter showing that the models proposed for shell patterning can also account for other important processes in development. The formation of organizing regions and embryonic axes and the initiation of leaves serve as examples.

Product Details

ISBN-13:
9780387578422
Publisher:
Springer-Verlag New York, LLC
Publication date:
08/31/1994
Series:
Virtual Laboratory Series
Pages:
204
Product dimensions:
8.63(w) x 11.19(h) x 0.79(d)

Table of Contents

1Shell patterns as dynamic systems1
2Pattern formation19
3Oscillations and travelling waves41
4Superposition of stable and periodic patterns53
5Meshwork of oblique lines and staggered dots71
6Branch initiation by global control91
7The big problem: two or more time-dependent patterns103
8Triangles127
9Parallel lines with tongues143
10Shell models in three dimensions163
11The computer program183
12Pattern formation in the development of higher organisms197
References227
Index233

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