Octahedralizing \(3\)-colorable \(3\)-polytopes (Q2665268)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Octahedralizing \(3\)-colorable \(3\)-polytopes |
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Octahedralizing \(3\)-colorable \(3\)-polytopes (English)
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18 November 2021
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A cross-polytopal complex is a pure regular CW-complex whose maximal cell are combinatorially isomorphic to the cross-polytope. It is proven that any 3-colorable simplicial 3-polytope can be octahedralized, that is, subdivided to a 3-dimensional geometric cross-polytopal complex without creating new vertices on the boundary of the polytope.
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cross-polytopal complex
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cross-polytope
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polytopal subdivisions
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\(3\)-colorable \(3\)-polytopes
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