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Infinite Families of Hypertopes from Centrally Symmetric Polytopes

par Piedade, Claudio Alexandre
Référence The Journal of Combinatorics, 30, 2, page (1-29), P2.07
Publication Publié, 2023-04-01

Article révisé par les pairs

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Résumé :

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 $left{genfrac{}{}{0pt}{}{p_1}{p_1},ldots,p_{n-1}ight}$.