Crystallographic Flat Origami from n-Uniform Tilings

This paper discusses the symmetry properties of crystallographic flat origami arising from n-uniform tilings using the hinged tiling method. A flat origami invariant under a plane crystallographic group is called a crystallographic flat origami. An n-uniform tiling is a tiling consisting of regular...

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Main Authors:	De Las Peñas, Ma. Louise Antonette N, Taganap, Eduard C
Format:	text
Published:	Archīum Ateneo 2021
Subjects:	Crystallographic flat origami Flat origami n-uniform tiling Origami symmetry Algebra Discrete Mathematics and Combinatorics Geometry and Topology
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/170 https://link.springer.com/chapter/10.1007/978-3-030-90048-9_11?fbclid=IwAR2-ZYcKOsVVtEs_atI4J8WOi-Ss08ctNWx317tZ25OqwNue8mulsqzFybo
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1180
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-11802021-12-08T13:04:14Z Crystallographic Flat Origami from n-Uniform Tilings De Las Peñas, Ma. Louise Antonette N Taganap, Eduard C This paper discusses the symmetry properties of crystallographic flat origami arising from n-uniform tilings using the hinged tiling method. A flat origami invariant under a plane crystallographic group is called a crystallographic flat origami. An n-uniform tiling is a tiling consisting of regular polygons, with the property that its vertices form n transitivity classes under the action of its symmetry group. 2021-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/170 https://link.springer.com/chapter/10.1007/978-3-030-90048-9_11?fbclid=IwAR2-ZYcKOsVVtEs_atI4J8WOi-Ss08ctNWx317tZ25OqwNue8mulsqzFybo Mathematics Faculty Publications Archīum Ateneo Crystallographic flat origami Flat origami n-uniform tiling Origami symmetry Algebra Discrete Mathematics and Combinatorics Geometry and Topology
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
continent	Asia
country	Philippines Philippines
content_provider	Ateneo De Manila University Library
collection	archium.Ateneo Institutional Repository
topic	Crystallographic flat origami Flat origami n-uniform tiling Origami symmetry Algebra Discrete Mathematics and Combinatorics Geometry and Topology
spellingShingle	Crystallographic flat origami Flat origami n-uniform tiling Origami symmetry Algebra Discrete Mathematics and Combinatorics Geometry and Topology De Las Peñas, Ma. Louise Antonette N Taganap, Eduard C Crystallographic Flat Origami from n-Uniform Tilings
description	This paper discusses the symmetry properties of crystallographic flat origami arising from n-uniform tilings using the hinged tiling method. A flat origami invariant under a plane crystallographic group is called a crystallographic flat origami. An n-uniform tiling is a tiling consisting of regular polygons, with the property that its vertices form n transitivity classes under the action of its symmetry group.
format	text
author	De Las Peñas, Ma. Louise Antonette N Taganap, Eduard C
author_facet	De Las Peñas, Ma. Louise Antonette N Taganap, Eduard C
author_sort	De Las Peñas, Ma. Louise Antonette N
title	Crystallographic Flat Origami from n-Uniform Tilings
title_short	Crystallographic Flat Origami from n-Uniform Tilings
title_full	Crystallographic Flat Origami from n-Uniform Tilings
title_fullStr	Crystallographic Flat Origami from n-Uniform Tilings
title_full_unstemmed	Crystallographic Flat Origami from n-Uniform Tilings
title_sort	crystallographic flat origami from n-uniform tilings
publisher	Archīum Ateneo
publishDate	2021
url	https://archium.ateneo.edu/mathematics-faculty-pubs/170 https://link.springer.com/chapter/10.1007/978-3-030-90048-9_11?fbclid=IwAR2-ZYcKOsVVtEs_atI4J8WOi-Ss08ctNWx317tZ25OqwNue8mulsqzFybo
_version_	1722366474398466048

Crystallographic Flat Origami from n-Uniform Tilings

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