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