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Constructing infinite families of regular incidence (quasi-)polytopes

✍ Scribed by Adam Stephanides

Publisher: Springer
Year: 1994
Tongue: English
Weight: 502 KB
Volume: 53
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf01263999

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📜 SIMILAR VOLUMES

On regular incidence quasi-polytopes

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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.

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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.

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✍ Tariq Alraqad; Mohan Shrikhande 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 112 KB 👁 1 views

## Abstract A Menon design of order __h__^2^ is a symmetric (4__h__^2^,2__h__^2^‐__h__,__h__^2^‐__h__)‐design. Quasi‐residual and quasi‐derived designs of a Menon design have parameters 2‐(2__h__^2^ + __h__,__h__^2^,__h__^2^‐__h__) and 2‐(2__h__^2^‐__h__,__h__^2^‐__h__,__h__^2^‐__h__‐1), respective