GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0

ABSTRACT: Euclidean tilings are constantly applied to many fields of engineering (mechanical, civil, chemical, etc.). These tessellations are usually named after Cundy & Rollett’s notation. However, this notation has two main problems related to ambiguous conformation and uniqueness. This commun...

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Detalhes bibliográficos
Autores: Gómez Jáuregui, Valentín|||0000-0002-7810-9589, Hogg, Harrison, Manchado del Val, Cristina|||0000-0002-3979-5117, Otero González, César Antonio|||0000-0002-5901-1906
Formato: artículo
Fecha de publicación:2021
País:España
Recursos:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/23907
Acesso em linha:http://hdl.handle.net/10902/23907
Access Level:acceso abierto
Palavra-chave:Notation
Tessellations
Tilings
n-uniform
Polygons
Symmetry
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spelling GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0Gómez Jáuregui, Valentín|||0000-0002-7810-9589Hogg, HarrisonManchado del Val, Cristina|||0000-0002-3979-5117Otero González, César Antonio|||0000-0002-5901-1906NotationTessellationsTilingsn-uniformPolygonsSymmetryABSTRACT: Euclidean tilings are constantly applied to many fields of engineering (mechanical, civil, chemical, etc.). These tessellations are usually named after Cundy & Rollett’s notation. However, this notation has two main problems related to ambiguous conformation and uniqueness. This communication explains the GomJau-Hogg’s notation for generating all the regular, semi-regular (uniform) and demi-regular (k-uniform, up to at least k = 3) in a consistent, unique and unequivocal manner. Moreover, it presents Antwerp v3.0, a free online application, which is publicly shared to prove that all the basic tilings can be obtained directly from the GomJau-Hogg’s notation.MDPIUniversidad de Cantabria20212021-01-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/23907Symmetry 2021, 13, 12,reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/239072026-06-02T12:39:31Z
dc.title.none.fl_str_mv GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0
title GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0
spellingShingle GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0
Gómez Jáuregui, Valentín|||0000-0002-7810-9589
Notation
Tessellations
Tilings
n-uniform
Polygons
Symmetry
title_short GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0
title_full GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0
title_fullStr GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0
title_full_unstemmed GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0
title_sort GomJau-Hogg´s Notation for Automatic Generation of k-Uniform Tessellations with ANTWERP v3.0
dc.creator.none.fl_str_mv Gómez Jáuregui, Valentín|||0000-0002-7810-9589
Hogg, Harrison
Manchado del Val, Cristina|||0000-0002-3979-5117
Otero González, César Antonio|||0000-0002-5901-1906
author Gómez Jáuregui, Valentín|||0000-0002-7810-9589
author_facet Gómez Jáuregui, Valentín|||0000-0002-7810-9589
Hogg, Harrison
Manchado del Val, Cristina|||0000-0002-3979-5117
Otero González, César Antonio|||0000-0002-5901-1906
author_role author
author2 Hogg, Harrison
Manchado del Val, Cristina|||0000-0002-3979-5117
Otero González, César Antonio|||0000-0002-5901-1906
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Notation
Tessellations
Tilings
n-uniform
Polygons
Symmetry
topic Notation
Tessellations
Tilings
n-uniform
Polygons
Symmetry
description ABSTRACT: Euclidean tilings are constantly applied to many fields of engineering (mechanical, civil, chemical, etc.). These tessellations are usually named after Cundy & Rollett’s notation. However, this notation has two main problems related to ambiguous conformation and uniqueness. This communication explains the GomJau-Hogg’s notation for generating all the regular, semi-regular (uniform) and demi-regular (k-uniform, up to at least k = 3) in a consistent, unique and unequivocal manner. Moreover, it presents Antwerp v3.0, a free online application, which is publicly shared to prove that all the basic tilings can be obtained directly from the GomJau-Hogg’s notation.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10902/23907
url http://hdl.handle.net/10902/23907
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv Symmetry 2021, 13, 12,
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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