Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Infinitesimal contact transformations and their applications to abstract growth patterns

Author: Igor Frolow
Journal: Quart. Appl. Math. 37 (1980), 389-399
MSC: Primary 92A05; Secondary 51N05, 53A05, 58C28, 73P05
DOI: https://doi.org/10.1090/qam/564730
MathSciNet review: 564730
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Abstract: Several abstract mathematical models of two-dimensional objects or ``organisms'' are introduced. The objects are abstractions, created by the combination of pattern-theoretic generators. They are deformed by what are shown to be infinitesimal contact transformations. Analytical methods are utilized to determine some of the resulting forms and a computer is programmed to display graphically the developing patterns.

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DOI: https://doi.org/10.1090/qam/564730
Article copyright: © Copyright 1980 American Mathematical Society

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