Infinitesimal contact transformations and their applications to abstract growth patterns

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...

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Veröffentlicht in:	Quarterly of applied mathematics 1980-01, Vol.37 (4), p.389-399
1. Verfasser:	Frolow, Igor
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Sprache:	eng
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description	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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source	American Mathematical Society Publications (Freely Accessible); Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; JSTOR Mathematics & Statistics; Jstor Complete Legacy; American Mathematical Society Publications
title	Infinitesimal contact transformations and their applications to abstract growth patterns
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