OrganoTech

[David Makin]

OrganoTech



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=16551

Just playing with division using my sincos combined modified bi-complex 4D form.
Maybe I'll call the z^n version Mandelbicomp

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 could 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

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.