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

 

 

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Copyright 1998-2020 by Jim Millar