 Julia : c={-0.2,0.8,0,0}, imax=12 |
{x,y,z,w}2 = {x2-y2-z2-w2, 2(xy+zw), 2(xz+yw), 2(xw-yz)} David Makin suggested this formula to me for squaring a 4D hypercomplex number. Link : Mandy Squarry, Minibrot Squarry – by David Makin |
 Mandelbrot Set, imax=12 |
 Minibrot, imax=20 |
2 Responses to “4D “Squarry” Julia and Mandelbrot Sets”
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hi paul;
this is the first time i meet your blog.
i am using mathematica 8, and i tried to run your ‘two-gears’ example;
it gives back the following error warn:
LinearSolve::luc: “Result for LinearSolve of badly conditioned matrix {<>} may contain significant numerical errors.”
can you help me? i suppose you had it perfectly running when you posted it.
thanks,
giancarlo
Hello Paul,
You can try use Golden Bi-quaternion in fractal 8D ?
Golden bi-quaternion are bi-quaternions satisfying the golden condition Q-1/Q=1
http://knol.google.com/k/golden-biquaternions-3-generations-and-spin#