Construction of weavings in the plane

• 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
• Institution: Ateneo De Manila University

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...