Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns
Inhaltsverzeichnis
Reference
Venera Adanova and Sibel Tari: Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns. In: Bridges 2016, Pages 453–456.
DOI
Abstract
In this work, we present a novel computer method for obtaining units cells and symmetry operations required to analyze the tiling, without assuming the knowledge of the underlying symmetry group.
Extended Abstract
Bibtex
@inproceedings{bridges2016:453, author = {Venera Adanova and Sibel Tari}, title = {Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns}, pages = {453--456}, booktitle = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture}, year = {2016}, editor = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi}, isbn = {978-1-938664-19-9}, issn = {1099-6702}, publisher = {Tessellations Publishing}, address = {Phoenix, Arizona}, url = {http://de.evo-art.org/index.php?title=Extracting_Unit_Cells_from_Tilings_with_Color_Symmetries:_Case_of_Counterchange_Patterns }, note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-453.html}} }
Used References
[1] H. S. M. Coxeter. Coloured symmetry. In M. C. Escher: Art and Science, pages 15–33. North-Holland, 1986.
[2] B. Gr¨unbaum and G. C. Shephard. Tilings and Patterns. Freeman, 1987.
[3] G. Polya. U¨ ber die analogie der kristallsymmetrie in der ebene. Z. Kristallogr., 50:278–282, 1924.
Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-453.pdf