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Superposition of stable and periodic patterns

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The Algorithmic Beauty of Sea Shells

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A widely distributed subgroup of shell patterns result from the superposition of a stable and a periodic pattern. The upper shell in Figure 4.1 shows two sets of parallel relief-like lines. One set is oriented parallel to the growing edge and results from a thickening of the shell at periodic time intervals. The other set is oriented parallel to the direction of growth and results from a permanently enhanced deposition of shell material at regularly spaced positions. In this example, the two patterns do not interfere with each other, a situation that is more the exception than the rule, but it shows that the assumption of two superimposed systems is reasonable.

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Correspondence to Hans Meinhardt .

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© 2009 Springer-Verlag Berlin Heidelberg

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Meinhardt, H. (2009). Superposition of stable and periodic patterns. In: The Algorithmic Beauty of Sea Shells. The Virtual Laboratory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92142-4_4

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  • DOI: https://doi.org/10.1007/978-3-540-92142-4_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92141-7

  • Online ISBN: 978-3-540-92142-4

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