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Author Topic: Mandelbrot Pearls  (Read 21386 times)
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Posts: 122

« Reply #15 on: January 06, 2010, 09:51:20 PM »

Here is an alternate solution to the same equations. However, I don't think this solution is correct.

* Alternate Solution.jpg (23.3 KB, 280x280 - viewed 525 times.)
« Last Edit: January 06, 2010, 09:57:51 PM by bugman » Logged
Posts: 122

« Reply #16 on: January 06, 2010, 09:55:57 PM »

Here is my first attempt to render the second period 3D orbits using numerical methods (shown in green). Unfortunately, convergence wasn't very good. You can barely see the circlular outline of the largest second period bulb, but the rest of it looks like a mess.

* junky.jpg (47.24 KB, 280x280 - viewed 484 times.)
« Last Edit: January 06, 2010, 10:05:28 PM by bugman » Logged
Fractal Senior
Posts: 1863

« Reply #17 on: January 07, 2010, 10:44:38 PM »

somehow noone with a nice shading algorithm tried those variations yet, it seems.

And that although some of them looked really interesting...

But actually that caridod also  looks nice and might be what happens if you search for a true spherical equivalent for it...

I wonder how different kinds of cycloids would look like in 3D smiley
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