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Symmetries and color symmetries of a family of tilings with a singular point

Symmetries and color symmetries of a family of tilings with a singular point Tilings with a singular point are obtained by applying conformal maps on regular tilings of the Euclidean plane and their symmetries are determined. The resulting tilings are then symmetrically colored by applying the same conformal maps on colorings of regular tilings arising from sublattice colorings of the centers of the tiles. In addition, conditions are determined in order that the coloring of a tiling with singularity that is obtained in this manner is perfect. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A Foundations of Crystallography Wiley

Symmetries and color symmetries of a family of tilings with a singular point

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References (21)

Publisher
Wiley
Copyright
Copyright © 2015 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/S2053273315016137
pmid
26522407
Publisher site
See Article on Publisher Site

Abstract

Tilings with a singular point are obtained by applying conformal maps on regular tilings of the Euclidean plane and their symmetries are determined. The resulting tilings are then symmetrically colored by applying the same conformal maps on colorings of regular tilings arising from sublattice colorings of the centers of the tiles. In addition, conditions are determined in order that the coloring of a tiling with singularity that is obtained in this manner is perfect.

Journal

Acta Crystallographica Section A Foundations of CrystallographyWiley

Published: Nov 1, 2015

Keywords: ; ; ; ;

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