On the Construction of Colored Plane Crystallographic Patterns
Inhaltsverzeichnis
Reference
Ma. Louise Antonette N. De Las Peñas: On the Construction of Colored Plane Crystallographic Patterns. In: Bridges 2001. Pages 181–192
DOI
Abstract
In this paper, we present an approach to the construction of perfect and non-perfect colorings resulting from plane crystallographic groups. In particular, we consider colored patterns that arise with symmetry group normal in the symmetry group of the uncolored pattern.
Extended Abstract
Bibtex
Used References
[1] De las Peiias, M. L. N., R P. Felix, and M. V. P. Quilinguin: A Framework for Coloring Symmetrical Patterns, Algebras and Combinatorics: An International Congress, ICAC '97 Hongkong, Springer-Verlag, Singapore, 159-175(1999).
[2] De las Peiias, M. L. N., R. P. Felix, and M. V. P. Quilinguin: Analysis of Colored Symmetrical Patterns, RIMS Kokyuroku Series No.1l09, Research Institute for Mathematical Sciences, Kyoto University, 152-162(1999)
[3] Felix, R P. and F. Gorospe: On imperfect colorings of symmetrical patterns, Symmetry: Culture and Science Vol. 7, No.1, 57-58(1996).
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[5] Macdonald, S. O. and A. P. Street: The analysis of colour symmetry, Lecture Notes in Mathematics 686, Springer-Verlag, 210-222(1978).
[6] Roth, R: Color symmetry and group theory. Discrete Mathematics 38, 273-296(1982).
[7] Schwarzenberger, R L. E.: Colour symmetry, Bull. Lond. Math. Soc. 16, 209-240(1984).
[8] Senechal, M.: Color symmetry, Compo and Maths. with Appls. Vol. 16, No. 5-8, 545-553(1988).
[9] Van der Waerden, B. L. and J. J. Burckhardt: Farbgruppen, Z.Kristallogr. 115,231-234(1961).
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Full Text
http://archive.bridgesmathart.org/2001/bridges2001-181.pdf
