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I previosly wrote:
> I also plan to flirt with insanity by taking a crack at reworking it for
> full quaternion power exponents.
Well, something cracked, all right. Since I had to recompile anyway, I
went ahead and coded a full quaternion power version. Once I worked out
the math (or more accurately, it worked me out), the resulting algorithm
isn't that much more computationally intensive than the old White and
Naylander formulas, and may even be a touch faster. (It would still be
too much to code in SDL unless I can learn how to build functions from
macros, or write an external script to make the SDL function.)
However, although it returns a reasonable straight power-two mandelbulb,
the current code doesn't seem to be doing higher powers quite right.
Regardless, what varying the imaginary parts of the quaternion power
does is indescribable.
There are much weirder 'bulbs than the one attached, but this (2,0,1,0)
quaternion power beast seemed appropriate for the new year.
Wishing ya'll the best!
~David Wagner
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