45-degree tiling using squares

The following set of pieces show how a 45-degree tiling can be created using squares.

This is similar to using the 30-degree pieces. In this tiling, however, the thin tile becomes infinitely thin, and the fat tile becomes a square. This results in the tiling made up of all squares.

The following shows diamonds D₀ to D₄.

PDF version (13 KB)

 

The following shows the squares S₀ to S₄.

PDF version (17 KB)

 

The following shows the X shaped pieces X₀ to X₄.

PDF version (19 KB)

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

PDF version (48 KB)

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Copyright 1998-2004 by Jim Millar