Affinely and Projectively Regular Polytopes
β Scribed by McMullen, P.
- Book ID
- 120098962
- Publisher
- Oxford University Press
- Year
- 1968
- Tongue
- English
- Weight
- 81 KB
- Volume
- s1-43
- Category
- Article
- ISSN
- 0024-6107
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π SIMILAR VOLUMES
We consider the polytopes which are certain orthogonal projections of k-dimensional regular simplexes in k-dimensional Euclidean space R k. We call such polytopes r~-polytopes. Every sufficiently symmetric polytope, such as a regular polytope, a quasi-regular polyhedron, etc., belongs to this class.
We define incidence quasi-polytopes and give a procedure for constructing regular incidence quasi-polytopes. We use this procedure to construct a finite map of type {e, 6} for all even ~ and 6, and infinitely many such maps when ~ or 6 is divisible by 4 and both are greater than or equal to 4.