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On angle sums and steiner points of polyhedra

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Abstract

In the first part, the Euler-Gram formula for the angle sum of a convex polytope is extended to cellular decompositions of arbitrary polyhedra. The second part contains an attempt to define Steiner points for unions of finitely many convex compact sets, and states some of their properties.

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Authors and Affiliations

  1. Bern University, Germany

    P. Mani

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  1. P. Mani
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Research supported by a fellowship of the Swiss National Foundation.

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Mani, P. On angle sums and steiner points of polyhedra. Israel J. Math. 9, 380–388 (1971). https://doi.org/10.1007/BF02771688

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  • DOI: https://doi.org/10.1007/BF02771688

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