Sub Rosa n-fold
J. Kari and M. Rissanen derived a set of rhomb substitution tilings in [KR2016] with n-fold dihedral symmetry. - All substitution rules have dihedral $D_{2}$ symmetry. - All edges of the substitution rules are equal and also have dihedral $D_{2}$ symmetry. - All interior angles of all prototiles are integer multiples of $\frac{\pi}{n}$. The minimal inflation facctor for this type of substitution tilings was discussed and derived in [Pau2017] . The example shown below is the tiling for $n=7$.
Polytopal Tiles
Self Similar Substitution
Finite Local Complexity
Finite Rotations
Rhomb Tiles
