Figure 1
Niizeki–Gähler tiling on different length scales as generated from recursion, emphasizing its self-similarity. The white lines represent a first-generation tiling. In the upper right part the substitution rule for the three elements is given. The symmetry of rhombs and squares is reduced as indicated by the shaded areas. The blue lines represent the tiling deflated once, which scales with (2+31/2)-1. The smallest scale tiling, indicated by black squares, golden triangles and red rhombs, results from a second deflation. |