The following designs were created using the transformation below. Its fractal dimension is roughly 1.05.
Notice that only the diamond is missing the triangle, but other shapes keep the triangle. This makes for a denser pattern than the pattern that has the triangles missing from all the shapes.
The diamonds D_{0} to D_{6} are shown below.
PDF version (7 KB) 
The triangles T_{0} to T_{6} are shown below.
PDF version (21 KB) 
The Yshaped stars Y_{0} to Y_{5} are shown below.
PDF version (17 KB) 
The squares S_{0} to S_{6} and S_{7} are shown below.
PDF version (59 KB) 

PDF version (91 KB) 
The following picture shows wheel W_{6}.
PDF version (38 KB) 
Copyright 19982004 by Jim Millar