This fractal design is based on the transformation that leaves the Y-shaped star out of the triangle. Its fractal dimension is roughly 1.67.
The following diagrams show diamonds D0 to D6, triangles T0 to T6, squares S0 to S6 and square S7.
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PDF version (42 KB) |
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PDF version (27 KB) |
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PDF version (81 KB) |
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PDF version (181 KB) |
The following shows the wheel W5, a dodecagon made from diamonds and triangles.
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PDF version (160 KB) |
The designs above use half-pattern blocks at the edges for an accurate representation of each iteration. As a comparison, the following diagrams show the same fractal design using whole pattern blocks. (I find it harder to see the emerging fractal, although the resulting designs are still quite beautiful.)
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PDF version (38 KB) |
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PDF version (22 KB) |
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PDF version (73 KB) |
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PDF version (150 KB) |
Copyright 1998-2004 by Jim Millar