Hexagonal extensions of toroidal maps and hypermaps

Fernandes, Maria Elisa; Leemans, Dimitri; Weiss, Asia Ivic

doi:10.1007/978-3-319-78434-2_8

Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/23862

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DC Field	Value	Language
dc.contributor.author	Fernandes, Maria Elisa	pt_PT
dc.contributor.author	Leemans, Dimitri	pt_PT
dc.contributor.author	Weiss, Asia Ivic	pt_PT
dc.date.accessioned	2018-07-24T11:16:30Z	-
dc.date.issued	2018-06-12	-
dc.identifier.isbn	978-3-319-78433-5	pt_PT
dc.identifier.issn	2194-1009	-
dc.identifier.uri	http://hdl.handle.net/10773/23862	-
dc.description.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.	pt_PT
dc.description.sponsorship	The authors would like to thank two anonymous referees for their numerous helpful and insightful comments. This research was supported by a Marsden grant (UOA1218) of the Royal Society of New Zealand, by NSERC and by the Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), through CIDMA - Center for Research and Development in Mathematics and Applications, within project UID/MAT/04106/2013.	pt_PT
dc.language.iso	eng	pt_PT
dc.publisher	Springer, Cham	pt_PT
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147206/PT	pt_PT
dc.rights	embargoedAccess	pt_PT
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	pt_PT
dc.subject	Regularity	pt_PT
dc.subject	Chirality	pt_PT
dc.subject	Thin geometries	pt_PT
dc.subject	Hypermaps	pt_PT
dc.subject	Abstract polytopes	pt_PT
dc.title	Hexagonal extensions of toroidal maps and hypermaps	pt_PT
dc.type	bookPart	pt_PT
dc.description.version	published	pt_PT
dc.peerreviewed	yes	pt_PT
degois.publication.firstPage	147	pt_PT
degois.publication.lastPage	170	pt_PT
degois.publication.title	Discrete Geometry and Symmetry	pt_PT
dc.date.embargo	2019-06-12	-
dc.relation.publisherversion	https://link.springer.com/chapter/10.1007%2F978-3-319-78434-2_8	pt_PT
dc.identifier.doi	10.1007/978-3-319-78434-2_8	pt_PT
dc.identifier.essn	2194-1017	-
dc.identifier.esbn	978-3-319-78434-2	pt_PT
Appears in Collections:	CIDMA - Capítulo de livro AGG - Capítulo de livro

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