https://hal.inria.fr/hal-01196852Maloney, Gregory R.Gregory R.MaloneyNewcastle University [Newcastle]On substitution tilings of the plane with n-fold rotational symmetryHAL CCSD2015RhombsTilingAlgorithm[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]Episciences Iam, Coordination2015-09-10 15:17:132017-09-07 01:03:442015-09-11 13:33:29enJournal articleshttps://hal.inria.fr/hal-01196852/document10.46298/dmtcs.2108application/pdf1A 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.