Construction of weavings in the plane

This work develops, in graph-theoretic terms, a methodology for systematically constructing weavings of overlapping nets derived from 2-colorings of the plane. From a 2-coloring, two disjoint simple, connected graphs called nets are constructed. The union of these nets forms an overlapping net, and...

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Main Authors:	Miro, Eden Delight, Zambrano, Aliw-iw, Garciano, Agnes
Format:	text
Published:	Archīum Ateneo 2017
Subjects:	tilings triangle groups colorings nets weavings Geometry and Topology Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/15 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1014&context=mathematics-faculty-pubs
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1014
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-10142020-06-10T07:55:30Z Construction of weavings in the plane Miro, Eden Delight Zambrano, Aliw-iw Garciano, Agnes This work develops, in graph-theoretic terms, a methodology for systematically constructing weavings of overlapping nets derived from 2-colorings of the plane. From a 2-coloring, two disjoint simple, connected graphs called nets are constructed. The union of these nets forms an overlapping net, and a weaving map is defined on the intersection points of the overlapping net to form a weaving. Furthermore, a procedure is given for the construction of mixed overlapping nets and for deriving weavings from them. 2017-01-01T08:00:00Z text application/pdf https://archium.ateneo.edu/mathematics-faculty-pubs/15 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1014&context=mathematics-faculty-pubs Mathematics Faculty Publications Archīum Ateneo tilings triangle groups colorings nets weavings Geometry and Topology 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	tilings triangle groups colorings nets weavings Geometry and Topology Mathematics
spellingShingle	tilings triangle groups colorings nets weavings Geometry and Topology Mathematics Miro, Eden Delight Zambrano, Aliw-iw Garciano, Agnes Construction of weavings in the plane
description	This work develops, in graph-theoretic terms, a methodology for systematically constructing weavings of overlapping nets derived from 2-colorings of the plane. From a 2-coloring, two disjoint simple, connected graphs called nets are constructed. The union of these nets forms an overlapping net, and a weaving map is defined on the intersection points of the overlapping net to form a weaving. Furthermore, a procedure is given for the construction of mixed overlapping nets and for deriving weavings from them.
format	text
author	Miro, Eden Delight Zambrano, Aliw-iw Garciano, Agnes
author_facet	Miro, Eden Delight Zambrano, Aliw-iw Garciano, Agnes
author_sort	Miro, Eden Delight
title	Construction of weavings in the plane
title_short	Construction of weavings in the plane
title_full	Construction of weavings in the plane
title_fullStr	Construction of weavings in the plane
title_full_unstemmed	Construction of weavings in the plane
title_sort	construction of weavings in the plane
publisher	Archīum Ateneo
publishDate	2017
url	https://archium.ateneo.edu/mathematics-faculty-pubs/15 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1014&context=mathematics-faculty-pubs
_version_	1724079162384187392

Construction of weavings in the plane

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