Welcome to Fractal Forums

Fractal Math, Chaos Theory & Research => Mandelbulb Renderings => Topic started by: Schlega on March 14, 2010, 03:26:34 AM




Title: Experiments with cartesian mandelbulbs
Post by: Schlega on March 14, 2010, 03:26:34 AM
   I recently tried to define multiplication and division of points in terms of cartesian coordinates. The goal was to extend z*tan(z)+c to a 3-d fractal. That hasn't worked out yet, but I got some interesting results when I was testing my code:

Exponent 2:
(http://i624.photobucket.com/albums/tt323/schlega1/fractals/Arterie.png)

Exponent 1 calculated as z2/z:
(http://i624.photobucket.com/albums/tt323/schlega1/fractals/8div1.png)

Exponent 8 calculated as ((z2)2)2:
(http://i624.photobucket.com/albums/tt323/schlega1/fractals/mandelbulb.png)

Exponent 7 calculated as ((z2)2)2/z):
(http://i624.photobucket.com/albums/tt323/schlega1/fractals/mandelbulb8-1.png)

Exponent 7 calculated as ((z2)2*z2)*z:
(http://i624.photobucket.com/albums/tt323/schlega1/fractals/mandelbulb7.png)


Title: Re: Experiments with cartesian mandelbulbs
Post by: kram1032 on March 14, 2010, 11:15:53 AM
those different variants of 7 are great :D