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Title: Hexagonal extensions of toroidal maps and hypermaps
Author: Fernandes, Maria Elisa
Leemans, Dimitri
Weiss, Asia Ivic
Keywords: Regularity
Thin geometries
Abstract polytopes
Issue Date: 12-Jun-2018
Publisher: Springer, Cham
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.
Peer review: yes
DOI: 10.1007/978-3-319-78434-2_8
ISBN: 978-3-319-78433-5
ISSN: 2194-1009
Publisher Version:
Appears in Collections:CIDMA - Capítulo de livro

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