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math.MG2016
Periodicity and ergodicity in the trihexagonal tiling
Diana Davis, W. Patrick Hooper
We consider the dynamics of light rays in the trihexagonal tiling where triangles and hexagons are transparent and have equal but opposite indices of refraction. We find that almos…
math.MG2015★ 1 cited
Geodesic trajectories on regular polyhedra
Diana Davis, Victor Dods, Cynthia Traub +1
Consider all geodesics between two given points on a polyhedron. On the regular tetrahedron, we describe all the geodesics from a vertex to a point, which could be another vertex.…