On a problem of Fenchel (Q679358)
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scientific article; zbMATH DE number 1002463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a problem of Fenchel |
scientific article; zbMATH DE number 1002463 |
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On a problem of Fenchel (English)
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22 April 1997
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The author gives a necessary and sufficient condition for a given set of positive real numbers to be the dihedral angles of a hyperbolic \(n\)-simplex. This answers a question raised by \textit{W. Fenchel} in his book `Elementary geometry in hyperbolic space', W. de Gruyter, Berlin-New York (1989; Zbl 0674.51001). The author also presents a simple proof of the known necessary and sufficient condition for the dihedral angles of Euclidean \(n\)-simplexes.
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dihedral angle
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Fenchel's problem
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hyperbolic \(n\)-simplex
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