![]() While usually Quaternions, hypercomplex numbers and all other sort of (often inconsistent) algebras had been used in previous attempts, the construction of the Mandelbulb takes a different approach. But, the Mandelbulb was one of those attempts. Unlike 4D Julia sets which naturally arise from simply generalizing the 2D complex Julia sets to quaternions, all efforts to produce an universal and intersting 4D Mandelbrot set been futile, and to this day (2020) nobody has found a satisfactory fractal. The idea of the Mandelbulb fractal came to be through yet another attempt at creating a 3D fractal that is as iconic as the traditional 2D Mandelbrot set is. ![]() A Mandelbulb fractal rendered in realtime over mobile phone footage
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