Dissections of regular polygons into triangles of equal areas (Q1122147)
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scientific article; zbMATH DE number 4105744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dissections of regular polygons into triangles of equal areas |
scientific article; zbMATH DE number 4105744 |
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Dissections of regular polygons into triangles of equal areas (English)
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1989
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The following theorem is proved: Let \(n\geq 5\) be an integer. Then a regular n-gon is dissectable into m triangles of equal areas iff m is a multiple of n. For the proof the author uses Sperner's lemma, non- Archimedean valuations and dissectability-techniques.
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dissections
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convex polygons
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tilings
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