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2014 | 126 | 2 | 524-526
Article title

Hyperbolic Icosahedral Tilings by Buckyballs

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EN
Abstracts
EN
Hyperbolic icosahedral tilings by Buckyballs with 4 or 8 Buckyballs sharing a vertex are considered as an example of tilings by Archimedean polyhedra. Representation requires Poincaré balls; colour symmetry may be derived by GAP. Colour symmetries preserving both rotation and reflection symmetry as well as only rotation symmetry are discussed.
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Contributors
author
  • Weilstetter Weg 16, 70567 Stuttgart, Germany
author
  • Bielefeld University, Technical Faculty, PB 100131, 33501 Bielefeld, Germany
References
  • [1] M. Baake, J. Phys. A, Math. Gen. 30, 2687 (1997), doi: 10.1088/0305-4470/30/8/015
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  • [4] R. Lück, D. Frettlöh, Z. Kristallogr. 223, 782 (2008), doi: 10.1524/zkri.2008.1059
  • [5] M.L.A.N. de las Peñas, R.P. Felix, G.R. Laigo, Z. Kristallogr. 221, 665 (2006), doi: 10.1524/zkri.2006.221.10.665
  • [6] M.L.A.N. de las Peñas, R.P. Felix, G.R. Laigo, Z. Kristallogr. 225, 313 (2010), doi: 10.1524/zkri.2010.1220
  • [7] M.L.A.N. de las Peñas, R.P. Felix, B.R. Gozo Jr., G.R. Laigo, Philos. Mag. 91, 2700 (2011), doi: 10.1080/14786435.2010.524901
  • [8] GAP System for Computational Discrete Algebra, GAP - Groups, Algorithms and Programming http://www.gap-system.org
  • [9] J. Humphreys, Reflection Groups and Coxeter Groups, series Cambridge Studies in Advanced Mathematics, No. 29, Cambridge University Press, Cambridge 1990; in Cambridge Books Online, Cambridge 2012, doi: 10.1017/CBO9780511623646
Document Type
Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv126n225kz
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