Z = Z² + C simple genius mandelbrot formula

The ‘Father of Fractal Geometry’ is the mathematician Benoit Mandelbrot who studied and popularized it.

A Mandelbulb is a 3D manifestation of the Mandelbrot set. It is an infinitely complex, naturally occurring fractal object.

Todays fractals show a geometry of fractal set, with emphasis on the Iterated Function System (IFS) formalism for generating 3d dimensional fractals. Instead of just a slice we calculate the whole structure. It also contains infinitely detailed worlds of baroque splendor that pose mathematical questions unanswered even today. We can use the formulas to calculate, but we have no idea why and how the fractals self organize in this endless beauty. A mystery even for fractal scientists.

Iterated Function Blocks

all fractals rendered by

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more Fractals beauties coming soon

@elgeko fractal explorer since 1986