64 lines from a quaternionic polytope (Q1381334)
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scientific article; zbMATH DE number 1129447
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 64 lines from a quaternionic polytope |
scientific article; zbMATH DE number 1129447 |
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64 lines from a quaternionic polytope (English)
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11 October 1998
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In the Coxeter Festschrift, the author presented two quaternionic 4-polytopes with 64 vertices [\textit{Ch. Davis, B. Gruenbaum} and \textit{F. A. Sherk}, `The geometric vein. The Coxeter Festschrift.' (1982; Zbl 0488.00015)]. In this note he shows that the angle of each pair of vertices of these polytopes, when regarded in complex 8-space, is a constant \(\alpha\) satisfying \(\cos^2\alpha= 1/9\).
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quaternion
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polytope
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lines
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