Square-Triangle Tiling

The substitution tiling only uses squares and triangles.


Since the triangle transforms two different ways, there are two colors used.

 The following diagram shows the blue triangle BT0 to BT3.

PDF version (44 KB)

The following shows the green triangle GT0 to GT3.


 PDF version (43 KB)

The following shows the square S0 to S3.


PDF version (88 KB) 

The vertices of the transform become hexagons of green triangles in subsequent transforms. The green hexagon transform, which grows at every vertex, is shown H0 to H3.


PDF version (209 KB) 

Fractal design from this substitution tiling.

Alternate substitution tiling by switching the transform of green and blue triangles.

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Copyright 1998-2004 by Jim Millar