On the Construction of Colored Plane Crystallographic Patterns

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Reference

Ma. Louise Antonette N. De Las Peñas: On the Construction of Colored Plane Crystallographic Patterns. In: Bridges 2001. Pages 181–192

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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.

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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).

[4] Loeb, A.: Color and Symmetry, Wiley Interscience, 1971.

[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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