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.
CITATION STYLE
Fernandes, M. E., Leemans, D., & Weiss, A. I. (2018). Hexagonal Extensions of Toroidal Maps and Hypermaps. In Springer Proceedings in Mathematics and Statistics (Vol. 234, pp. 147–170). Springer New York LLC. https://doi.org/10.1007/978-3-319-78434-2_8
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