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Locally projective regular polytopes

✍ Scribed by Peter McMullen

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 372 KB
Volume: 65
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(94)90033-7

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📜 SIMILAR VOLUMES

Finite regular locally projective spaces

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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.

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Spectra of regular polytopes

✍ Nicolau C. Saldanha; Carlos Tomei 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 587 KB

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Regular incidence quasi-polytopes and regular maps

✍ Adam Stephanides 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 511 KB

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.

On regular incidence quasi-polytopes

✍ Adam Stephanides 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 333 KB

It is shown that under certain conditions the regularization of a pair of regular incidence polytopes is not itself an incidence polytope. Thus there exist regular incidence quasipolytopes which are not incidence polytopes.