Fractal Tilings Based on Successive Adjacent Substitution Rule

Figure 8

(a) is a patch of tiles with the dihedral group symmetry, which will be used as initial frame to generate -tiling. (b) By vertex adjacency substitution rule, the first four generations of the -tiling on . (c) The first four generations of the -tiling on obtained by moving the initial frame .

(a)

(b)

(c)