On the model flexibility of Siamese dipyramids

Polyhedra called Siamese dipyramids are known to be non-flexible, however their physical models behave like physical models of flexible polyhedra. We discuss a simple mathematical method for explaining the model flexibility of the Siamese dipyramids.

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Bibliographic Details
Published in:Journal of geometry 2019-04, Vol.110 (1), p.1-19, Article 7
Main Authors: Gorkavyy, V., Fesenko, I.
Format: Article
Language:English
Subjects:
Flexibility
Geometry
Mathematical models
Mathematics
Mathematics and Statistics
Polyhedra
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Description
Summary:Polyhedra called Siamese dipyramids are known to be non-flexible, however their physical models behave like physical models of flexible polyhedra. We discuss a simple mathematical method for explaining the model flexibility of the Siamese dipyramids.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-018-0462-y