49
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Remarks on symmetries of 2D-quasicrystals

&
Pages 319-328 | Received 23 Apr 2007, Accepted 25 Apr 2007, Published online: 22 Sep 2010

References

  • Artamonov , V. A. 2005 . “ On symmetries of quasicrystals ” . In Algebraic Structures and Their Representations , Edited by: de la Pena , J. A. , Vallejo , E. and Atakishiyev , N. Vol. 376 , 175 – 188 . Providence, Rhode Island : AMS . XV Colloquium Latinoamericano de Álgebra, Cocoyoc, Morelos, Mexico, July 20–26. Contemporary Mathematics
  • Artamonov , V. A. and Slovokhotov , Yu. L. 2005 . Groups and their Applications in Physics, Chemistry and Crystallography , 512 Moscow : Center Academia .
  • Hermisson , J. , Richard , Ch. and Baake , V. 1997 . A guide to the symmetry structure of quasiperiodic tiling classes . J. Phys. I France , 7 : 1003 – 1018 .
  • Baake , M. , Hermisson , J. and Pleasants , A. B. 1997 . The torus parametrization of quasiperiodic LI-classes . J. Phys. A , 30 : 3029 – 3056 .
  • Moody , R. V. 2000 . “ Model sets: a survey ” . In From Quasicrystals to more Complex Systems , 145 – 166 . Berlin : Springer . arXiv:math.MG/0002020 tv1
  • Skornyakov , L. A. 1990 . General Algebra , Edited by: Skornyakov , L. A. Vol. 1 , Nauka, , Moscow : Fizmatlit .
  • Hasse , H. 1980 . Number Theory , Berlin : Springer-Verlag .
  • Pleasants , P. A.B. 2000 . “ Designer quasicrystals: cut-and-project sets with pre-assigned properties ” . In Directions in Mathematical Quasicrystals , Edited by: Baake , M. and Moody , R. V. 93 – 138 . Providence, Rhode Island : AMS . CRM Monograph Series
  • Niizeki , K. 1989 . Self-similarity of quasilattices in two dimensions. I: the n-gonal quasilattice . Journal of Physics A: Mathematical and General , 22 : 193 – 204 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.