A new example of a flexible polyhedron (Q1920856)
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scientific article; zbMATH DE number 917148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new example of a flexible polyhedron |
scientific article; zbMATH DE number 917148 |
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A new example of a flexible polyhedron (English)
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18 January 1998
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The author constructs a closed flexible polyhedron with self-intersections without using Bricard's octahedron. The polyhedron has the same property as the Bricard octahedron: it preserves volume during flexion according to the bellows conjecture. (The conjecture was proved for any triangulated orientable surface mapped into three-space [see \textit{R. Connelly}, \textit{I. Sabitov} and \textit{A. Walz}, Beitr. Alg. Geom. 38, No. 1, 1-10 (1997)]).
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closed flexible polyhedron
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preservation of volume
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