J. Millar discovered a set of tilings with patches of dihedral symmetry $D_2n$ and inflation multiplier $\sqrt{2 + 2 \cos(\frac{\pi}{n})}$, which is the same inflation multiplier as of the Generalized Godreche-Lancon-Billard Binary.
All interior angles of all prototiles are integer multiples of …
Finite Rotations Polytopal Tiles Finite Local Complexity