Other 30-degree tiling using triangles

The following transformation shows how triangles can be used to create another version of the Other 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. Also, each square becomes a 60 degree rhombus. This results in the tiling made up of all triangles.

The following shows the diamonds D₀ to D₃.

PDF version (23 KB)

The following shows the green and purple triangles GT₀ to GT₃ and PT₀ to PT₃.

PDF version (41 KB)

The following shows the yellow and blue triangles YT₀ to YT₃ and BT₀ to BT₃.

PDF version (41 KB)

The following shows the red, pink, and orange squares RS₀ to RS₃, PS₀ to PS₃ and OS₀ to OS₃.

PDF version (55 KB)

 The following shows the wheel that emerges at every vertex as the design grows, W₀ to W₃.

PDF version (160 KB)

Back to ideas for more designs.

Copyright 1998-2004 by Jim Millar