Infinite Families of Hypertopes from Centrally Symmetric Polytopes
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Published:2023-05-05
Issue:2
Volume:30
Page:
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ISSN:1077-8926
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Container-title:The Electronic Journal of Combinatorics
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language:
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Short-container-title:Electron. J. Combin.
Author:
Piedade Claudio Alexandre
Abstract
We construct infinite families of abstract regular polytopes of Schläfli type $\{4,p_1,\ldots,p_{n-1}\}$ from extensions of centrally symmetric spherical abstract regular $n$-polytopes. In addition, by applying the halving operation, we obtain infinite families of both locally spherical and locally toroidal regular hypertopes of type $\left\{\genfrac{}{}{0pt}{}{p_1}{p_1},\ldots,p_{n-1}\right\}$.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics