Coloring Uniform Honeycombs

In this paper, we discuss a method of arriving at colored three-dimensional uniform honeycombs. In particular, we present the construction of perfect and semi-perfect colorings of the truncated and bitruncated cubic honeycombs. If G is the symmetry group of an uncolored honeycomb, a coloring of the...

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Main Authors:	Laigo, Glenn R, De Las Peñas, Ma. Louise Antonette N, Felix, Rene P
Format:	text
Published:	Archīum Ateneo 2009
Subjects:	Geometry and Topology Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/129 https://archive.bridgesmathart.org/2009/bridges2009-131.html
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1128
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-11282020-07-30T04:19:03Z Coloring Uniform Honeycombs Laigo, Glenn R De Las Peñas, Ma. Louise Antonette N Felix, Rene P In this paper, we discuss a method of arriving at colored three-dimensional uniform honeycombs. In particular, we present the construction of perfect and semi-perfect colorings of the truncated and bitruncated cubic honeycombs. If G is the symmetry group of an uncolored honeycomb, a coloring of the honeycomb is perfect if the group H consisting of elements that permute the colors of the given coloring is G. If H is such that [G:H] = 2, we say that the coloring of the honeycomb is semi-perfect. 2009-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/129 https://archive.bridgesmathart.org/2009/bridges2009-131.html Mathematics Faculty Publications Archīum Ateneo Geometry and Topology Mathematics
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
country	Philippines
collection	archium.Ateneo Institutional Repository
topic	Geometry and Topology Mathematics
spellingShingle	Geometry and Topology Mathematics Laigo, Glenn R De Las Peñas, Ma. Louise Antonette N Felix, Rene P Coloring Uniform Honeycombs
description	In this paper, we discuss a method of arriving at colored three-dimensional uniform honeycombs. In particular, we present the construction of perfect and semi-perfect colorings of the truncated and bitruncated cubic honeycombs. If G is the symmetry group of an uncolored honeycomb, a coloring of the honeycomb is perfect if the group H consisting of elements that permute the colors of the given coloring is G. If H is such that [G:H] = 2, we say that the coloring of the honeycomb is semi-perfect.
format	text
author	Laigo, Glenn R De Las Peñas, Ma. Louise Antonette N Felix, Rene P
author_facet	Laigo, Glenn R De Las Peñas, Ma. Louise Antonette N Felix, Rene P
author_sort	Laigo, Glenn R
title	Coloring Uniform Honeycombs
title_short	Coloring Uniform Honeycombs
title_full	Coloring Uniform Honeycombs
title_fullStr	Coloring Uniform Honeycombs
title_full_unstemmed	Coloring Uniform Honeycombs
title_sort	coloring uniform honeycombs
publisher	Archīum Ateneo
publishDate	2009
url	https://archium.ateneo.edu/mathematics-faculty-pubs/129 https://archive.bridgesmathart.org/2009/bridges2009-131.html
_version_	1681506790592741376

Coloring Uniform Honeycombs

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