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The Golden Section Spiral Fractal - 2014.


Golden section spiral fractal engraved and painted sandstone

60cm x 66cm. Engraved and painted sandstone. 2014




The limits of this sixth generation fractal, based on the golden section spiral, are a golden section rectangle.

The length of the perimeter of the fractal would be infinite if an infinite number of generations were drawn.

However, the infinite fractal would have a finite area.



Golden section spiral fractal diagram
The area of the circle and the area of the white part of the fractal are equal. Golden section spiral fractal equation 1
The sum of the blue areas of the fractal equals the sum of the blue areas of the square, Golden section spiral fractal equation 2




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