Hexagonal Geometric Triangulations

Published 22 Apr 2022 in math.GT | (2204.10791v2)

Abstract: It is well-known that the Euclidean plane has a standard 6-regular geodesic triangulation , and the unit sphere has a 5-regular geodesic triangulation, which is induced from the regular Dodecahedron, and the hyperbolic plane has an n-regular geodesic triangulation for any n > 6. Here we constructed a 6-regular geodesic triangulation of the hyperbolic plane.

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Xiaoping Zhu

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