✦ LIBER ✦

On regular incidence quasi-polytopes

✍ Scribed by Adam Stephanides

Publisher: Springer
Year: 1991
Tongue: English
Weight: 333 KB
Volume: 38
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00147734

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Regular incidence quasi-polytopes and re

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.

Constructing infinite families of regula

Constructing infinite families of regular incidence (quasi-)polytopes

✍ Adam Stephanides 📂 Article 📅 1994 🏛 Springer 🌐 English ⚖ 502 KB

Locally projective regular polytopes

✍ Peter McMullen 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 372 KB

Realizations of regular polytopes

✍ Peter McMullen 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 54 KB

Spectra of regular polytopes

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

Random projections of regular polytopes

✍ K. Böröczky, Jr.; M. Henk 📂 Article 📅 1999 🏛 Springer 🌐 English ⚖ 97 KB