Equidissections of centrally symmetric octagons (Q1823472)
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scientific article; zbMATH DE number 4115430
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equidissections of centrally symmetric octagons |
scientific article; zbMATH DE number 4115430 |
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Equidissections of centrally symmetric octagons (English)
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1989
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The author proves that a centrally symmetric octagon (or hexagon) cannot be dissected into an odd number of triangles of equal areas. This property was earlier proved for quadrilaterals [\textit{P. Monsky}, Am. Math. Monthly 77, 161-164 (1970; Zbl 0187.197)]. The author conjectures that no centrally symmetric polygon can be so dissected and offers additional evidence to support the conjecture.
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equidissection
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centrally symmetric octagon
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