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Title: tutorial #1 - complex multiplication is a rotation
Post by: cKleinhuis on February 15, 2015, 02:40:10 PM
tutorial #1 - complex multiplication is a rotation

(http://nocache-nocookies.digitalgott.com/gallery/17/63_15_02_15_2_40_10.png)

http://www.fractalforums.com/index.php?action=gallery;sa=view;id=17035

This video demonstrates that Complex Multiplication is a Rotation. Wich lead to the famous 3d Mandelbulb by using Spherical Coordinates in 3d by applying same technique as on Polar Coordinates for multiplication in 2d

triplex algebra definition
http://www.fractalforums.com/theory/triplex-algebra/

mandelbulb examples
http://www.fractalforums.com/index.php?action=gallery;sa=search2;key=Mandelbulb+3d

Complex Numbers on Wikipedia contains Polar Coordinate Multiplication as well:
http://en.wikipedia.org/wiki/Complex_number
http://en.wikipedia.org/wiki/Complex_number#Multiplication.2C_division_and_exponentiation_in_polar_form