4D Quaternion Mandelbrot Set

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


2 Responses to “4D Quaternion Mandelbrot Set”

  1. January 5, 2011 at 10:44 am

    We made – with my friend Jano Erdos a wonderful Spidron Cell automat. Do you have any idea, how can we upload? It is a little program file. I am sure you will like it and much more we did. Daniel

  2. June 1, 2011 at 12:22 am

    Thank you for another great article. Where else could anyone get that kind of information in such a perfect way of writing? I have a presentation next week, and I am on the look for such information

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