## Watanabe Ito Soma 12-fold

### Info

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 exact substitution rules which generate the square level-3-supertile in Fig. 3 of the paper remained unclear.
Finally Alessandro Musesti and Maurizio Paolini submitted the correct set of substitution rules in January 2023 to us. Thank you!

Watanabe Ito Soma 12-fold (variant) is another version of this rule with more symmetry.

### Substitution Rule

### Patch

download vectorformat Watanabe Ito Soma 12-fold

### References

[WSI95]

Watanabe, Y and Soma, T and Ito, M

**A new quasiperiodic tiling with dodecagonal symmetry**

*Acta Crystallogr.*
1995,
A51,
pp. 936--942,