Hofstetter-4fold (arrowed)

Discovered by


A decorated version of the Hofstetter 4fold tilings. This version can be generated by a proper substitution rule. It was shown in [FH15] that this version is aperiodic, as well as limitperiodic. For more details see Hofstetters 4-fold.

Substitution Rule

Rule Hofstetter-4fold (arrowed)


Patch Hofstetter-4fold (arrowed)


Frettlöh, D and Hofstetter, K
Inductive rotation tilings
Proc. Steklov Inst. Math. 2015, 288, pp. 247-258,