A natural generalization of regular convex polyhedra (Q511050)

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scientific article; zbMATH DE number 6684520
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English
A natural generalization of regular convex polyhedra
scientific article; zbMATH DE number 6684520

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    A natural generalization of regular convex polyhedra (English)
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    14 February 2017
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    The main result of the paper under review is a classification of the simple regular polyhedral BP-complexes. These are 2-dimensional homogeneous locally finite cell complexes equipped with piecewise linear metrics satisfying some additional conditions as defined in the paper, of which the surfaces of Platonic solids are special instances.
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    polyhedron
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    cell complex
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    piecewise linear
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    positive excess
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