Abstract : A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs with angles that are integer multiples of pi/n, and includes various special cases that have already been constructed by hand for low values of n. An example constructed by this method for n = 11 is exhibited; this is the first substitution tiling with elevenfold symmetry appearing in the literature.
https://hal.inria.fr/hal-01196852
Contributeur : Coordination Episciences Iam
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Soumis le : jeudi 10 septembre 2015 - 15:17:13
Dernière modification le : jeudi 7 septembre 2017 - 01:03:44
Document(s) archivé(s) le : mardi 29 décembre 2015 - 00:01:09
Gregory R. Maloney. On substitution tilings of the plane with n-fold rotational symmetry. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2015, Vol. 17 no. 1 (in progress) (1), pp.397-—414. 〈hal-01196852〉
