par Fernandes, Maria Elisa;Leemans, Dimitri ;Weiss, Asia Ivić
Référence Springer Proceedings in Mathematics and Statistics, 234, page (147-170)
Publication Publié, 2018
Article révisé par les pairs
Résumé : The rank 3 concept of a hypermap has recently been generalized to a higher rank structure in which hypermaps can be seen as “hyperfaces” but very few examples can be found in literature. We study finite rank 4 structures obtained by hexagonal extensions of toroidal hypermaps. Many new examples are produced that are regular or chiral, even when the extensions are polytopal. We also construct a new infinite family of finite nonlinear hexagonal extensions of the tetrahedron.