The following transform shows how the 45-degree set of tiles can be used to create the Ammann tiling.
Note that the square has one orientation (reflective symmetry across one diagonal).
The following shows diamonds D0 to D3.
The following shows squares S0 to S3 and S4.
The following shows how the stars created from these pieces, St0 to St2 and St3.
Return to Ideas for Substitution Tilings.
Copyright 1998-2004 by Jim Millar