FRACTAL TILINGS FROM SUBSTITUTION TILINGS
Xinchang Wang, Peichang Ouyang, K.W. Chung, Xiaogen Zhan, Hua Yi, Xiaosong Tang · Fractals · 2018
A fractal tiling or [Formula: see text]-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. By substitution rule of tilings, this short paper presents a very simple strategy to create a great number of [Formula: see text]-tilings. The substitution tiling Equithirds is demonstrated to show how to achieve it in detail. The method can be generalized to every tiling that can be constructed by substitution rule.