Regular quaternionic polytopes (Q1899415)
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scientific article; zbMATH DE number 803746
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular quaternionic polytopes |
scientific article; zbMATH DE number 803746 |
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Regular quaternionic polytopes (English)
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9 October 1995
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A polytope in quaternionic space is a finite configuration of points, lines, \dots, hyperplanes with certain connectedness properties, generalizing the combinatorial concept of convex polytope. Such a polytope \(P\) has flags, consisting of mutually incident elements of each dimension; \(P\) is regular if its (affine) automorphism group is transitive on its flags. The author here classifies the regular quaternionic polytopes, showing that their groups are always generated by reflexions.
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regular quaternionic polytopes
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