Acta Crystallographica Section A: Foundations and Advances
Acta Crystallographica Section A: Foundations and Advances
5 years ago

Construction of weavings in the plane

Construction of weavings in the plane
Agnes Garciano, Eden Delight Miro, Aliw-iw Zambrano
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.A method for constructing weavings of (mixed) overlapping nets in the plane is discussed.

Publisher URL: http://onlinelibrary.wiley.com/resolve/doi

DOI: 10.1107/S205327331701422X

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