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) at 10000x10000 resolution:
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) at 10000x10000: