Flexible cross-polytopes in the Euclidean 4-space (Q2718705)
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scientific article; zbMATH DE number 1596911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Flexible cross-polytopes in the Euclidean 4-space |
scientific article; zbMATH DE number 1596911 |
Statements
13 May 2001
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flexibility
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cross-polytopes
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polyhedra
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4-dimensional descriptive geometry
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Walz's polytopes
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Flexible cross-polytopes in the Euclidean 4-space (English)
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Cross-polytopes are the analoga of octahedra in \(n\)-space \((n>3)\). The author develops a class of flexibile cross-polytopes in Euclidean 4-space. These generalize examples given by \textit{A. Walz} in 1998 (\url{http://www.cms.math.ca/Events/Winter98/}). The arguments are based on methods from 4-dimensional descriptive geometry. A parametrization of the flexes of the Walz's polytopes is obtained.
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