Hyperbolic Space Forms with Crystallographic Applications and Visualizations

  • Emil MolnárEmail author
  • Jenő Szirmai
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 809)


In this paper we study a family of compact 3-dimensional manifolds, i.e. space forms - more popularly, finite worlds - that are derived from famous Euclidean and non-Euclidean polyhedral tilings by the unified method of face identification, i.e. logical gluings. All these seem to have application in modern crystallography, as fullerenes and nanotubes!?!.


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© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Mathematics, Department of GeometryBudapest University of Technology and EconomicsBudapestHungary

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