Classifying Voronoi graphs of hex spheres

Aldo-Hilario Cruz-Cota

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arXiv · 1010.6236

Classifying Voronoi graphs of hex spheres

Aldo-Hilario Cruz-Cota

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Abstract

A hex sphere is a singular Euclidean sphere with four cones points whose cone angles are (integer) multiples of 2*pi/3 but less than 2*pi. Given a hex sphere M, we consider its Voronoi decomposition centered at the two cone points with greatest cone angles. In this paper we use elementary Euclidean geometry to describe the Voronoi regions of hex spheres and classify the Voronoi graphs of hex spheres (up to graph isomorphism).

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Aldo-Hilario Cruz-Cota. 2010-10-29. Classifying Voronoi graphs of hex spheres. https://arxiv.org/abs/1010.6236

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