Y. Watanabe
Discovered Tilings
This is a variant of Watanabe Ito Soma 12-fold, with more symmetry.
Finite Rotations Polytopal Tiles
The source of the tiling can be found in [WSI95] Fig. 2 (iii) and Fig. 3.
Its inflation factor is $2+\sqrt{3}$ and it has finite local complexity with respect to rigid motions.
Unfortunately the corresponding substitution rules given in Fig. 2 (iii) of the paper are not unique. For some time the …
Finite Rotations Polytopal Tiles Self Similar Substitution Finite Local Complexity
This tiling was originally introduced in [WSI87]
, however the description given there admits several substitution rules. This is the version given explicitly in [WSI95]
.
This is an example of a cut and project with a mixed internal space, a product of Euclidean and $p$-adic spaces, namely $\mathbb{R}^2 \times \mathbb{Q}_2$.
Finite Rotations Model Set Rhomb Tiles Polytopal Tiles Self Similar Substitution Finite Local Complexity