Harriss's Rhomb substitutions with n-fold rotational symmetry
A generalisation of the Goodman-Strauss 7-fold rhomb , by E. Harriss. The details can be found in (Harriss:NRSTTAORS).
Goodman-Strauss 7-fold rhomb
Whereas it is simple to generate rhomb tilings with n-fold symmetry by the cut and project method, it can be hard to find a substitution rule for such tilings. Here we see a rule for n=7. This one was later generalized by E. Harriss to arbitrary n.
Finite Rotations Canonical Substitution Tiling Polytopal Tiles Parallelogram Tiles Rhomb Tiles Harrisss Rhomb
Harriss's 9-fold rhomb
Finite Rotations Polytopal Tiles Parallelogram Tiles Rhomb Tiles Harrisss Rhomb