The Mandelbulb is a three-dimensional analogue of the Mandelbrot set, constructed by Daniel White and Paul Nylander using spherical coordinates. A canonical 3-dimensional Mandelbrot set does not exist, since there is no 3-dimensional analogue of the 2-dimensional space of complex numbers. It is possible to construct Mandelbrot sets in 4 dimensions using quaternions. However, this set does not exhibit detail at all scales like the 2D Mandelbrot set does.
an 8th order Mandelbulb set by bugman123
Here is my first rendering of an 8th order Mandelbulb set, based on the following generalized variation of Daniel White’s original squarring formula:
{x,y,z}n = rn{cos(θ)cos(φ),sin(θ)cos(φ),-sin(φ)}
Paul Nylander, bugman123.com
A classic Mandelbrot set
Mandelbrot set – Wikipedia
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