Title: OrganoTech Post by: David Makin on August 19, 2014, 10:28:45 PM OrganoTech (http://nocache-nocookies.digitalgott.com/gallery/16/141_19_08_14_10_28_45.jpeg) 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. |