Quantum Fantasy Fractal Landscape

This is of course not a real place, but rather a purely mathematical visualization of a generalization of a fractal into three dimensions.   Image © Jos Leys (Mathematical Imagery), Ultra Fractal

Classical fractal diagrams are typically confined to the two dimensions inherent in the complex number plane, demarking regions where an iterative function diverges. Recently explored additions expand the Mandelbrot set of fractals to three dimensions with prescriptions dubbed Mandelbox and Mandelbulb sets.



The results are often visually stunning creations of virtual worlds with limitless detail, some of which you can fly through.

Pictured above is one such mathematical fantasy, possibly reminiscent of some sort of steam-punkian, quantum-mechanical landscape.