From Colorings to Weavings

E. Miroa,b, A. Garcianob and A. Zambranob aFakultät für Mathematik, Universität Bielefeld, 33615 Bielefeld, Germany bDepartment of Mathematics, Ateneo de Manila University, Loyola Heights, 1108 Quezon City, Philippines

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We present a methodology for constructing weavings from 2-colorings of the plane. In particular, we consider tilings T of the plane by triangles and their corresponding triangle groups G. We derive 2-colorings of T using the index 2 subgroups of G.

DOI: 10.12693/APhysPolA.126.560 PACS numbers: 02.20.-a, 61.50.Ah, 89.75.Kd