Tiling submitted by Andrew Hudson.
The scaling factor is the smallest PV number, the Plastic Number which is a root of the polynomial $x^3 - x - 1 = 0$.
Self Similar Substitution Plastic Number Infinite Rotations
Tiling submitted by Andrew Hudson.
The scaling factor is $\frac{\sin(\frac{3\pi}{n})}{\sin(\frac{\pi}{n})}+\frac{\sin(\frac{2\pi}{n})}{\sin(\frac{\pi}{n})}$.
All tiles appear in one chirality only, so markings were omitted.
Self Similar Substitution Finite Rotations