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 |