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Hyperbolic Space Forms with Crystallographic Applications and Visualizations

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Abstract

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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Authors and Affiliations

  1. Institute of Mathematics, Department of Geometry, Budapest University of Technology and Economics, Budapest, P. O. Box: 91, 1521, Hungary

    Emil Molnár & Jenő Szirmai

Authors
  1. Emil Molnár
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  2. Jenő Szirmai
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Correspondence to Emil Molnár .

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Editors and Affiliations

  1. Department of Architecture and Urban Studies—DASTU, School of Architecture Urban Planning and Construction Engineering—AUIC, Politecnico di Milano, Milan, Italy

    Luigi Cocchiarella

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Molnár, E., Szirmai, J. (2019). Hyperbolic Space Forms with Crystallographic Applications and Visualizations. In: Cocchiarella, L. (eds) ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics. ICGG 2018. Advances in Intelligent Systems and Computing, vol 809. Springer, Cham. https://doi.org/10.1007/978-3-319-95588-9_26

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  • DOI: https://doi.org/10.1007/978-3-319-95588-9_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95587-2

  • Online ISBN: 978-3-319-95588-9

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