 Mandelbrot Set, imax=12 |
 Minibrot, imax=18 |
{x,y,z,w}2 = {x2-y2-z2-w2, 2xy, 2xz, 2xw}
Quaternions are 4D hypercomplex numbers, discovered in 1843 by Sir William Rowan Hamilton. They are mathematically elegant, but unfortunately, they produce axisymmetric results when used to calculate the 3D Mandelbrot set.
Link: Quat Minibrot – by David Makin
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