Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/23862
Title: | Hexagonal extensions of toroidal maps and hypermaps |
Author: | Fernandes, Maria Elisa Leemans, Dimitri Weiss, Asia Ivic |
Keywords: | Regularity Chirality Thin geometries Hypermaps 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 |
URI: | http://hdl.handle.net/10773/23862 |
DOI: | 10.1007/978-3-319-78434-2_8 |
ISBN: | 978-3-319-78433-5 |
ISSN: | 2194-1009 |
Publisher Version: | https://link.springer.com/chapter/10.1007%2F978-3-319-78434-2_8 |
Appears in Collections: | CIDMA - Capítulo de livro AGG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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2018DFW.pdf | 414.57 kB | Adobe PDF | View/Open |
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