Gallery of substitution tilings

pi/4 45-degree pieces

Here is a generalization for other values of n

45-degree design using 30-degree pieces

45-degree design using squares

Multiscale set of 45-degree pieces

Ammann tiling with 45-degree pieces

Ammann tiling using 30-degree pieces

Ammann tiling using square pieces.

Flexible Ammann tiling

pi/5 36-degree pieces

Here is a generalization for other values of n

Penrose tiling uses 36-degree pieces

Flexible Penrose tiling

pi/6 30-degree pieces

30-degree tiling using 20-degree pieces

30-degree tiling using triangles.

Multiscale set of 30-degree tiles

Another set of 30 degree pieces.

Here is a generalization for other values of n

Another tiling using 30-degree pieces

Other 30-degree tiling using 20 degree pieces

Other 30-degree tiling using triangles

Gallery of Square-Triangle Tilings

Tiling 2 with square flexed to pi/3 rhomb

Tiling 2 with square flexed to pi/6 rhomb

Tiling 2 with square flexed to 0 degree rhomb

Pi/7 tiling

Here is a generalization for other values of n

Pi/8 tiling

Here is a generalization for other values of n

pi/9 20-degree pieces

Another set of 20 degree pieces.

Here is a generalization for other values of n

pi/10 18-degree pieces

Here is a generalization for other values of n