TZProgrammer / tetration-fractals

Fractal on the complex plane originating from coloring points by the number of arms it's power tower's spiral has

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Iterated-Tetration-Fractal

Tetration is repeated exponentiation, just like exponentiation is repeated multiplication and multiplication is repeated addition. Spirals form by plotting the numbers found by iterating the tetration operator on a point in the complex plane. This project colours each pixel on a canvas according to the number of arms in the spirals generated at those coordinates, creating a never-before-seen fractal.

Below are some results in 1920x1920 resolution.

Tetration Fractal in the window (-4,-4), (4,4) at 1920x1920 resolution: Tetration Fractal in the window (-4,-4), (4,4)

Tetration Fractal in the window (-4,-4), (4,4) at 10000x10000 resolution: Tetration Fractal in the window (-4,-4), (4,4)

Tetration Fractal in the window (-0.1,-0.1), (0.1,0.1) at 1920x1920: Tetration Fractal in the window (-0.1,-0.1), (0.1,0.1)

Tetration Fractal in the window (-0.1,-0.1), (0.1,0.1) at 10000x10000: Tetration Fractal in the window (-0.1,-0.1), (0.1,0.1)

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Fractal on the complex plane originating from coloring points by the number of arms it's power tower's spiral has


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