Abstract
The feasibility of applying the restricted permutation representation method of Macdonald and Street to colouring the fundamental regions of 3-dimensional crystallographic groups is discussed. The tetragonal crystal class is used to illustrate a classification of colourings.
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Bibliography
N.V. Belov, N.N. Neronova and T.S. Smirnova, "Shubnikov Groups," Akad. Nauk SSSR. Krystallografiya 2 (1957) 315–325.
M.J. Buerger, Elementary Crystallography, John Wiley and Sons, 1956.
J.J. Burckhardt, Die Bewegungsruppen der Kristallographie, Birkhauser Verlag, 1966.
H. Hilton, Mathematical Crystallography and the theory of Groups of Movements, Dover, 1903.
M.A. Jaswon, Mathematical Crystallography, Longmans, 1965.
A.L. Loeb, Color and Symmetry, Wiley Interscience, 1971.
S. Oates Macdonald and A. Penfold Street, "On Crystallographic Colour Groups," Combinatorial Mathematics IV, Proceedings of the Fourth Aust. Comb. Conf., Adelaide, Springer, 1975.
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© 1978 Springer-Verlag
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Hubbard, R. (1978). Colour symmetry in crystallographic space groups. In: Holton, D.A., Seberry, J. (eds) Combinatorial Mathematics. Lecture Notes in Mathematics, vol 686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062531
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DOI: https://doi.org/10.1007/BFb0062531
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