Kantenkugeln - geometrische Anwendungen der linearen Algebra (Q1063873)
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scientific article; zbMATH DE number 3917124
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kantenkugeln - geometrische Anwendungen der linearen Algebra |
scientific article; zbMATH DE number 3917124 |
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Kantenkugeln - geometrische Anwendungen der linearen Algebra (English)
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1985
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Given \(n+1\) points in n-dimensional Euclidean space necessary and sufficient conditions are determined for the existence of an n-sphere with the property that all \(\left( \begin{matrix} n+1\\ 2\end{matrix} \right)\) edges (connecting two points) are tangent to the sphere. Variations on the theme, such as computation of the radius, construction of examples, and generalization to p-dimensional \((1\leq p<n)\) faces (instead of edges) are also discussed.
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Euclidean geometry
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simplex
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metric configuration
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n-sphere
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