> Thank you very much. It helps indeed. First in understanding the isosurface and
> second in understandig the mandelbulb computations. I wondered about a setting
> by Tor Olav Kristensen in his code he gave here some years ago. Now I see that
> this was an approach to estimate the distance to the mandelbulb, but different
> from yours at first sight. But I must admit that my knowledge about stuff like
> complex analysis and it extrapolation into 3-Space is a bit limited nowadays.

I don't pretend at all to have derived the distance equation, or even 
understand how/why it works (or even have coded it correctly). But I did 
get stuck in a similar situation to you when writing my GPU-based 
isosurface renderer, and found the solution so thought I'd share. It 
seems to work ok (see attached) so I stuck with it without 
investigating/optimising further.

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