This is a video showing a 'Mandlebulb' (essentially a 3D Mandelbrot Set) which i think looks pretty cool :)
These and other mandlebulbs actually arise from simply just higher powers of the original Mandelbrot set (The Mandelbrot set is 'Z↦Z^2 + C', therefore the Mandelbulbs have 'Z ↦Z^3 + C' etc...)
They technically don't exist since there is no such think as a 3D Mandelbrot set since they have used spherical coordinates to map the complexity on to a sphere but by definition the Mandelbrot set is in a 'Fractional Dimension'. But they can be made in four dimensions using Quaternions even though these lack the detail supposedly of the normal Mandelbrot set and unluckily we don't live in 4 dimensions. :(
Fractals...Fractals everywhere...
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