Visualizing Hyperbolic Honeycombs

@inproceedings{Nelson2015VisualizingHH,
  title={Visualizing Hyperbolic Honeycombs},
  author={Roice Nelson and Henry Segerman},
  year={2015}
}
We explore visual representations of tilings corresponding to Schl\"afli symbols. In three dimensions, we call these tilings "honeycombs". Schl\"afli symbols encode, in a very efficient way, regular tilings of spherical, euclidean and hyperbolic spaces in all dimensions. In three dimensions, there are only a finite number of spherical and euclidean honeycombs, but infinitely many hyperbolic honeycombs. Moreover, there are only four hyperbolic honeycombs with material vertices and material cells… CONTINUE READING

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