After Paul (bugman) posted examples of 3D Pickover Stalks and I managed to get a fairly decent algorithm for 3D orbit traps I decided to try Pickover Stalks myself, so here's an example.
This is a Julia Set using particularly esoteric 3D maths for z^2+c where the unit vector multiplication table is:
* | r i j
----------------
r | r j -i
i | j -i r
j | -i r -j
Just in case anyone's interested:
Here's a rotation of the z^2+c Mandy for this system:
http://www.fractalgallery.co.uk/EMF.movAlso this multiplication table was inspired by the idea of any two of three perpendicular forces coming together producing a perpendicular result and is based on the obvious unit vector multiplication table for such a system, i.e.
* | r i j
--------------------
r | +/-r +/-j +/-i
i | +/-j +/-i +/-r
j | +/-i +/-r +/-j
Obviously this gives 512 possibilities depending on the signs used - I tried a few and settled on one based on the fact that it was the most visually interesting Mandy
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March 08, 2010, 11:11:27 PM
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