36 Degree System

The following diagram shows a set of pieces based on polygons whose angles are multiples of 36 degrees, and the transform of these pieces.

The following shows the skinny diamond S0 to S6.

PDF version (55 KB)

 

The following shows the fat diamond F0 to F6.

PDF version (85 KB)

 

The following shows the cross X0 to X5.

PDF version (56 KB)

 

The following shows the double cross D0 to D5.

PDF version (96 KB)

 

As designs grow, the following 10 pointed star emerges at every vertex. The following diagrams show stars S0 to S4 and S5.

PDF version (106 KB)

PDF version (274 KB)

Here is a generalization for other values of n.

Back to ideas for more designs.

Copyright 1998-2004 by Jim Millar