Indecomposable convex polytopes (Q1099412)
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scientific article; zbMATH DE number 4040711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Indecomposable convex polytopes |
scientific article; zbMATH DE number 4040711 |
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Indecomposable convex polytopes (English)
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1987
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The author gives a new criterion for a convex polytope P in euclidean d- space to be indecomposable. Here, P is called indecomposable if in any Minkowski-sum \(P=Q+R\) the summands Q and R are homothetic to P. P turns out to be indecomposable if there exists a particular family of indecomposable faces of P. \textit{G. C. Shephard}, Mathematika 10, 89-95 (1963; Zbl 0121.390) gave a somewhat similar criterion.
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indecomposable polytopes
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Minkowski-sum
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