| Tangency properties of a pentagonal tiling generated by a piecewise isometry. | |
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MedLine Citation:
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PMID: 18163793 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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Piecewise isometries (PWIs) are known to have dynamical properties that generate interesting geometric planar packings. We analyze a particular PWI introduced by Goetz that generates a packing by periodically coded cells, each of which is a pentagon. Our main result is that the tangency graph associated with this packing is a forest (i.e., has no nontrivial cycles). We show, however, that this is not a general property of PWIs by giving an example that has an infinite number of cycles in the tangency graph of its periodically coded cells. |
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Authors:
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Marcello Trovati; Peter Ashwin |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Chaos (Woodbury, N.Y.) Volume: 17 ISSN: 1054-1500 ISO Abbreviation: Chaos Publication Date: 2007 Dec |
Date Detail:
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Created Date: 2007-12-31 Completed Date: 2008-04-02 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 100971574 Medline TA: Chaos Country: United States |
Other Details:
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Languages: eng Pagination: 043129 Citation Subset: IM |
Affiliation:
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Mathematics Research Institute, School of Engineering, Computer Science and Mathematics, University of Exeter Exeter EX4 4QF, United Kingdom. |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Algorithms Computer Simulation Mathematics Models, Biological Models, Genetic Models, Statistical Models, Theoretical Neural Networks (Computer) Nonlinear Dynamics* |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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