Visualizing hyperbolic honeycombs

  title={Visualizing hyperbolic honeycombs},
  author={Roice Nelson and Henry Segerman},
  journal={Journal of Mathematics and the Arts},
  pages={39 - 4}
ABSTRACT We explore visual representations of tilings corresponding to Schläfli symbols. In three dimensions, we call these tilings ‘honeycombs’. Schläfli 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… Expand
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