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Hi all,

Was just thinking about ways of possibly rendering the perfect "Holy Grail" but by simply cheating i.e. working from information from the standard complex z^2+c Mandelbrot.
IMO what we want to do is:
1. Every 2D bulb centred on the real axis simply becomes the 3D bulb from the equivalent Quaternionic Mandy.
2. Every 2D bulb connected directly to a bulb centred on the real axis but not centred on the real axis itself will have 2 3D counterparts, one in the x/y plane and one in the x/z plane and the 3D shape of the bulb will be a rotation of the 2D shape around an axis made of the line between the "centre" of thte parent bulb (on the real axis) and the "centre" of the child bulb.
3. Now consider each child bulb as if it was an original parent on the real axis (i.e. as if the axis it is rotated around is the real axis) and goto 2 for every child of the child.
Repeat to the highest resolution you require !

Like here? http://www.fractalforums.com/theory/mandelbrot-pearls/msg11043/#msg11043