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OrganoTech 2OrganoTechGrave the Ship
OrganoTech
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Description: Just playing with division using my sincos combined modified bi-complex 4D form.
Maybe I'll call the z^n version Mandelbicomp wink

Anyway once I'd derived the reciprocal I wanted a simple formula for testing division, preferably simpler than the Newton and divergent rather than convergent.
Unfortunately I couldn't remember or find one that's really simple so I created:

loop:
  zt = zpld
  zold = z
  z= (z^(power+1))/zt + c

The  "Mandelbicomp" form matches the complex version in the x-y plane but not the x-z though I didn't really expect it to match both - that would indeed have been amazing wink

This is from a Julia for the above division formula using the Mandelbicomp math - zstart always has the 4th dimension as zero but the seed uses all 4 dimensions.

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Keywords: mandelbicomp fractal 
Posted by: David Makin August 19, 2014, 10:28:45 PM

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