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Number of results
2014 | 126 | 2 | 560-563
Article title

From Colorings to Weavings

Content
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Languages of publication
EN
Abstracts
EN
We present a methodology for constructing weavings from 2-colorings of the plane. In particular, we consider tilings T of the plane by triangles and their corresponding triangle groups G. We derive 2-colorings of T using the index 2 subgroups of G.
Keywords
EN
Contributors
author
  • Fakultät für Mathematik, Universität Bielefeld, 33615 Bielefeld, Germany
  • Department of Mathematics, Ateneo de Manila University, Loyola Heights, 1108 Quezon City, Philippines
author
  • Department of Mathematics, Ateneo de Manila University, Loyola Heights, 1108 Quezon City, Philippines
author
  • Department of Mathematics, Ateneo de Manila University, Loyola Heights, 1108 Quezon City, Philippines
References
  • [1] S.J. Ramsden, V. Robins, S.T. Hyde, Acta Crystallogr. A 65, 81 (2009), doi: 10.1107/S0108767308040592
  • [2] E.D.B Provido, M.L.A.N. De Las Peñas, R. Felix, Acta Crystallogr. A 69, 445 (2013), doi: 10.1107/S010876731301283X
  • [3] M.L.A.N. De Las Peñas, R. Felix, E.D.B. Provido, Z. Kristallogr. 222, 443 (2007), doi: 10.1524/zkri.2007.222.9.443
  • [4] D.H. Huson, Geometr. Dedic. 47, 269 (1993), doi: 10.1007/BF01263661
  • [5] S.J. Ramsden, V. Robins, S.T. Hyde, S. Hungerford, EPINET: Euclidean Patterns in Non-Euclidean Tilings, The Australian National University, Canberra 2005-2009 http://epinet.anu.edu.au
  • [6] J. Pach, R. Pollack, E. Welzl, Algorithmica 9, 561 (1993), doi: 10.1007/BF01190155
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv126n234kz
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