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