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3D Fractal:Complex Julibrot for z^2+c

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Uploaded on Apr 22, 2009

Over 7000 different 3D views of the 4D Julibrot for z^2+c.
Created using Ultra Fractal.
Rendered at 640*480, time taken approx. 20secs per frame, total around 40hrs (on a Core2Duo).
In the starting frame the visual x axis is the horizontal left/right axis, the visual y axis is the vertical and the visual z axis is the depth. We are viewing from 30 degrees above the centre and the view rotates by a full 360 degrees around the fractal 80 times while the fractal morphs as described below.
The different morphs are obtained by gradually rotaing one of the visual x,y,z axes from its starting fractal axis (either c real, c imaginary, z start real or z start imaginary) through 90 degrees to the spare fractal axis.
For instance in the 1st frame the visual x,y,z axes are made from c real (cr), c imaginary (ci) and z start real (zr) and the spare axis is z start imaginary (zi).
The animation then morphs from this first frame by rotating the visual z axis through 90 degrees from z start real (zr) to z start imaginary (zi) so in frame 900 the visual x,y,z axes are made up of c real (cr), c imaginary (ci) and z start imaginary (zi) with z start real (zr) being unused.

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