Construction of weavings in the plane
Eden Delight Miro, Aliw-iw Zambrano, Agnes Garciano
Index: 10.1107/S205327331701422X
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Abstract
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.