The following picture shows a fractal based on the original design with the beige diamonds eliminated. Its fractal dimension is roughly 1.05.
Notice that the diamonds are missing from the transformation of each shape, compared to the full shape. Also notice that the transformed triangle T_{1} is the same as the Y shape Y_{0}. This means that triangle T_{n} is the same as Y_{n1}.
The following diagrams show triangles T_{0} to T_{6} and T_{7}.
PDF version (4 KB) 

PDF version (4 KB) 
The following diagrams show squares S_{0} to S_{6}, S_{7}, and S_{8}.
PDF version (10 KB) 

PDF version (11 KB) 

PDF version (19 KB) 
Copyright 19982004 by Jim Millar