A criterion for the affine equivalence of cell complexes in \(R^ d\) and convex polyhedra in \(R^{d+1}\) (Q1085799)
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scientific article; zbMATH DE number 3984014
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A criterion for the affine equivalence of cell complexes in \(R^ d\) and convex polyhedra in \(R^{d+1}\) |
scientific article; zbMATH DE number 3984014 |
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A criterion for the affine equivalence of cell complexes in \(R^ d\) and convex polyhedra in \(R^{d+1}\) (English)
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1987
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The author gives a criterion for determining whether a convex tiling C of \({\mathbb{R}}^ d\) is the projection of the set of faces of some polyhedron P in \({\mathbb{R}}^{d+1}\). The criterion is constructive, in that, if P exists, it can be reconstructed from P. Various related notions are also discussed in the paper.
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affine equivalence of cell complexes and convex polyhedra
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convex tiling
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projection
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