Gregory R. Maloney - On substitution tilings of the plane with n-fold rotational symmetry

dmtcs:2108 - Discrete Mathematics & Theoretical Computer Science, June 12, 2015, Vol. 17 no. 1 -
On substitution tilings of the plane with n-fold rotational symmetryArticle

Authors: Gregory R. Maloney 1

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.

Volume: Vol. 17 no. 1
Section: Discrete Algorithms
Published on: June 12, 2015
Submitted on: September 13, 2014
Keywords: Rhombs,Tiling,Algorithm,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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