Hyperbolic Isogonal Tilings from Uniform Edge Colorings

This paper presents the construction of an isogonal tiling from an edge coloring of a uniform tiling of the hyperbolic plane. In addition, it also discusses how the isogonal tiling can be transformed into a hyperbolic artwork by using motifs with appropriate symmetry properties as the edges of the t...

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Main Authors:	Abila, Agatha Kristel, De las Penas, Ma. Louise Antonette, Tomenes, Mark
Format:	text
Published:	Archīum Ateneo 2024
Subjects:	uniform edge colorings hyperbolic isogonal tilings isogonal tilings Geometry and Topology Mathematics Physical Sciences and Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/285 https://archive.bridgesmathart.org/2024/bridges2024-405.pdf
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1286
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-12862024-10-09T07:06:06Z Hyperbolic Isogonal Tilings from Uniform Edge Colorings Abila, Agatha Kristel De las Penas, Ma. Louise Antonette Tomenes, Mark This paper presents the construction of an isogonal tiling from an edge coloring of a uniform tiling of the hyperbolic plane. In addition, it also discusses how the isogonal tiling can be transformed into a hyperbolic artwork by using motifs with appropriate symmetry properties as the edges of the tiling 2024-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/285 https://archive.bridgesmathart.org/2024/bridges2024-405.pdf Mathematics Faculty Publications Archīum Ateneo uniform edge colorings hyperbolic isogonal tilings isogonal tilings Geometry and Topology Mathematics Physical Sciences and Mathematics
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	uniform edge colorings hyperbolic isogonal tilings isogonal tilings Geometry and Topology Mathematics Physical Sciences and Mathematics
spellingShingle	uniform edge colorings hyperbolic isogonal tilings isogonal tilings Geometry and Topology Mathematics Physical Sciences and Mathematics Abila, Agatha Kristel De las Penas, Ma. Louise Antonette Tomenes, Mark Hyperbolic Isogonal Tilings from Uniform Edge Colorings
description	This paper presents the construction of an isogonal tiling from an edge coloring of a uniform tiling of the hyperbolic plane. In addition, it also discusses how the isogonal tiling can be transformed into a hyperbolic artwork by using motifs with appropriate symmetry properties as the edges of the tiling
format	text
author	Abila, Agatha Kristel De las Penas, Ma. Louise Antonette Tomenes, Mark
author_facet	Abila, Agatha Kristel De las Penas, Ma. Louise Antonette Tomenes, Mark
author_sort	Abila, Agatha Kristel
title	Hyperbolic Isogonal Tilings from Uniform Edge Colorings
title_short	Hyperbolic Isogonal Tilings from Uniform Edge Colorings
title_full	Hyperbolic Isogonal Tilings from Uniform Edge Colorings
title_fullStr	Hyperbolic Isogonal Tilings from Uniform Edge Colorings
title_full_unstemmed	Hyperbolic Isogonal Tilings from Uniform Edge Colorings
title_sort	hyperbolic isogonal tilings from uniform edge colorings
publisher	Archīum Ateneo
publishDate	2024
url	https://archium.ateneo.edu/mathematics-faculty-pubs/285 https://archive.bridgesmathart.org/2024/bridges2024-405.pdf
_version_	1814055920191143936

Hyperbolic Isogonal Tilings from Uniform Edge Colorings

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