Baake, Michael; Grimm, Uwe and Scheffer, Max
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|DOI (Digital Object Identifier) Link:||https://doi.org/10.1016/S0925-8388(02)00171-8|
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The investigation of colour symmetries for periodic and aperiodic systems consists of two steps. The first concerns the computation of the possible numbers of colours and is mainly combinatorial in nature. The second is algebraic and determines the actual colour symmetry groups. Continuing previous work, we present the results of the combinatorial part for planar patterns with n-fold symmetry, where n=7, 9, 15, 16, 20, 24. This completes the cases with phi(n)<=8, where phi is Euler's totient function.
|Item Type:||Journal Article|
|Keywords:||aperiodic order; colour symmetries; combinatorics; generating functions; Dirichlet series|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Uwe Grimm|
|Date Deposited:||13 Feb 2007|
|Last Modified:||08 Oct 2016 01:56|
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