Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns

Reference

Venera Adanova and Sibel Tari: Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns. In: Bridges 2016, Pages 453–456.

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.

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

intern file

Sonstige Links

http://archive.bridgesmathart.org/2016/bridges2016-453.html