A tiling with 7-fold symmetry and a lot of locally 7-fold symmetric patches. There are only three tile shapes, but nine different prototiles. The inflation factor is a PV number: 2+2cos(pi/7)+2cos(2pi/7) = 5,04891733952231 … which is the largest root of x^3 - 6x^2 + 5x - 1.
Constructing Penrose-like tilings with 7-fold symmetry
Structural Chemistry 2018, 29, 645--655, 10.1007/s