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Community => Introduction to Fractals and Related Links => Topic started by: Ike1970 on April 06, 2011, 10:39:39 PM




Title: Polar coordinates?
Post by: Ike1970 on April 06, 2011, 10:39:39 PM
Hello everyone,

Please excuse any wrong terms I use since I´m not a mathematician.

I remember in school we had to plot certain geometrical objects onto a sheet of paper with polar coordinates, the result being that everything became distorted in "a-polar-kind-of-way"   (:embarrass:)

When mandelbulbs (and the like) are created, the way I understood it is that the two dimensional (x,y) coordinates are enhanced by a third one (z).   But all of these three points in space are still plotted unto our "normal" non-polar coordinate system.

Now my question:  does anyone of you know how it looks if these three points are plotted "polarly"?
are there even polar coordinates with a z-axis?

hope this question doesn´t sound too. . . well. . . :whistle2:

thanks anyway for any suggestions or links,
Ike  :beer:



Title: Re: Polar coordinates?
Post by: Gluecker on July 03, 2011, 09:25:41 PM
Hi there,
if you are still interested: what you are looking for are spherical [(x,y,z)<->(r,theta,phi)]  (or may be cylindrical [(x,y,z)<->(r,phi,z)] ) coordinates
cheers


Title: Re: Polar coordinates?
Post by: DarkBeam on July 03, 2011, 11:31:23 PM
When we calculate mandelbulb we make am implicit to polar (spherical) conversion and again to rectangular... That's why the fractal looks somewhat weird at low powers, but read old topics to know more ;)