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
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出版: Archīum Ateneo 2017
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在線閱讀: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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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
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