Another 30-degree tiling
The following transformation shows how 20-degree pieces can be used to create another version of the Other 30-degree tiling.
The 30 degree tiling has one diamond, 3 triangles, and two squares. This design has changed the diamonds to be a little fatter and a little thinner than the normal 30 degree diamond.
Likewise, the squares are fatter and thinner than the original squares.
Finally the yellow triangle became a yellow and a blue triangle.
This tiling demonstrates that the 30 degree tiling is not a rigid structure, but has some freedom in the angles in the design even when all the sides are held rigid.
The following shows the diamonds D0 to D3.
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PDF version (28 KB) |
The following shows the green and purple triangles GT0 to GT3 and PT0 to PT3.
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PDF version (45 KB) |
The following shows the yellow and blue triangles YT0 to YT3 and BT0 to BT3.
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PDF version (46 KB) |
The following shows the red, pink, and orange squares RS0 to RS3, PS0 to PS3 and OS0 to OS3.
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PDF version (66 KB) |
The following shows the wheel that emerges at every vertex as the design grows, W0 to W3.
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PDF version (206 KB) |
Back to ideas for more designs.
Copyright 1998-2004 by Jim Millar