30-degree tiling using triangles

The following transformation shows how triangles can be used to create another version of the 30-degree tiling.

This is similar to using the 20-degree pieces. In this tiling, however, the thin tile becomes infinitely thin, and the fat tile becomes a 60 degree rhombus. This results in the tiling made up of all triangles.

The following shows the diamonds D0 to D4.

PDF version (16 KB)

The following shows the triangles T0 to T4.

PDF version (16 KB)

The following shows the Y shapes Y0 to Y4.

PDF version (21 KB)

 The following shows the wheel that emerges at every vertex as the design grows, W0 to W4.

PDF version (83 KB)

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Copyright 1998-2004 by Jim Millar