Ein einfacher Beweis des Satzes von Euler-Schläfli (Q1056386)
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scientific article; zbMATH DE number 3828719
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ein einfacher Beweis des Satzes von Euler-Schläfli |
scientific article; zbMATH DE number 3828719 |
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Ein einfacher Beweis des Satzes von Euler-Schläfli (English)
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1984
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The author gives a simple and elementary proof of the famous Euler resp. Euler-Schläfli theorem \(\sum_{i=0}^d (-1)^i s_i =1\) \((s_i\): face-numbers of a polytope \(P)\). The idea is based on Hadwiger's ideas concerning additive functions on the ``Konvexring''.
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convex polytopes
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Euler characteristic
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combinatorial geometry
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