Zur Bestimmung konvexer Polytope durch die Inhalte ihrer Projektionen (Q796833)
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scientific article; zbMATH DE number 3866090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zur Bestimmung konvexer Polytope durch die Inhalte ihrer Projektionen |
scientific article; zbMATH DE number 3866090 |
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Zur Bestimmung konvexer Polytope durch die Inhalte ihrer Projektionen (English)
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1984
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Let Z be a zonotope with centre 0 in Euclidean space. The author discusses some elementary properties of the class P(Z) of polytopes with projection body Z. For example: If Z is not a parallelotope, then P(Z) contains uncountably many different translation classes; P(Z) contains, up to translation, only finitely many (if any) polytopes without a pair of parallel facets.
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convex polytope
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projection
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projection body
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zonotope
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0.93787163
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0.87370074
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