waggy babbled on:
> For pure real power mandelbulbs, I'm still only getting the expected 
> results for power two, and still don't know why.

Bonzini updated his paper today, and my pure real power results are 
consistent with his.  The formulas needed to reproduce arbitrary real 
higher-power mandelbulbs using quaternions are quite different than 
originally described (except for power two, after trig reduction), and 
seem to involve even more trig functions than the classic formulation.

http://github.com/bonzini/mbulb/raw/master/mbulb.pdf

There still may or may not be errors in how my code handles the 
imaginary part of quaternion powers.  I think I need to take a step back 
and figure out what it's supposed to do rather than continue to muck 
about with variations.

If there's interest, I'll post what I have so far.  Otherwise, I'll hang 
onto it until I can describe what it does.

~David

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