Hamid Naderi Yeganeh: Fractal Africa

New mathematics artwork from Hamid Naderi Yeganeh.

Africa-Fractal-Hamid-Naderi-Yeganeh

This fractal is constructed by an Africa-like octagon and its lateral inversion.:

Africa-octagon
If we count the number of octagons of different sizes we get the Fibonacci sequence: 1, 2, 3, 5, 8, 13, 21, 34, … (see this animation: https://archive.org/download/AfricaFractal/Africa-animation.gif)

The height of the biggest octagon is φ times longer than the height of second octagon; where φ is the golden ratio. (see the following image) It is a necessary and sufficient condition to see the white triangles in this fractal.

Africa-φ

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