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|Title:||Hexagonal extensions of toroidal maps and hypermaps|
|Author:||Fernandes, Maria Elisa|
Weiss, Asia Ivic
|Abstract:||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.|
|Appears in Collections:||CIDMA - Capítulo de livro|
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