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Two families of locally toroidal regular 4-hypertopes arising from toroids

par Fernandes, Maria Elisa;Leemans, Dimitri ;Piedade, Claudio A.;Weiss, Asia Ivić
Référence Contemporary mathematics - American Mathematical Society, 764, page (89-100)
Publication Publié, 2021-03-01

Article révisé par les pairs

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Résumé :

In this paper we present two infinite families of locally toroidal hypertopes of rank 4 that are constructed from regular toroids of types {4, 3, 4}(s,s,0) and {3, 3, 4, 3}(s,0,0,0) . The Coxeter diagram of the first of the two families is star-shaped and the diagram of the other is a square. In both cases the toroidal residues are regular toroidal maps of type {3, 6}.