Andrew Hudson

Discovered Tilings

Double Angle Plastic

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

Hudson 7-fold

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

Tromino 1

A Chair variant.

Finite Rotations Self Similar Substitution

Tromino 2

A Chair variant.

Finite Rotations Self Similar Substitution