Generating Regular Hyperbolic Honeycombs

08/29/2022

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by   Dorota Celińska-Kopczyńska, et al.

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Geodesic regular tree structures are essential to combat numerical precision issues that arise while working with large-scale computational hyperbolic geometry and have applications in algorithms based on distances in such tessellations. We present a method of generating and applying such structures to the tessellations of 3-dimensional hyperbolic space.