Fractal Pinwheel Tile

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This tile was independently discovered by IFStile software. It has the same symmetry and spectral properties as the Pinwheel Triangle.

Dimension of the boundary = 2*log(1 + sqrt(2))/log(5) ~= 1.09525640002672

  • FractalPinwheel.png
  • FractalPinwheel Net.png

Fractint ifs representation:


FractalPinwheel {

0.4 0.2 -0.2 0.4 0 0 0.2

0.2 0.4 0.4 -0.2 0.2 0.4 0.2

-0.2 0.4 -0.4 -0.2 -0.4 0.2 0.2

0.2 -0.4 0.4 0.2 -0.4 0.2 0.2

-0.4 0.2 0.2 0.4 -0.6 -0.2 0.2

}



References

A single fractal pinwheel tile (by Christoph Bandt, Dmitry Mekhontsev, Andrei Tetenov)

Pinwheel Tiling

Root 5 Family