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Author Topic: Angry Robot Clown  (Read 740 times)
Description: Fractal Paradolia
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fractower
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« on: August 23, 2010, 09:59:39 PM »

Made with a hacked version of Mandelbulber.
« Last Edit: August 23, 2010, 10:02:25 PM by fractower » Logged
Sockratease
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« Reply #1 on: August 23, 2010, 10:18:38 PM »

Wonderful!   clown
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Life is complex - It has real and imaginary components.

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kram1032
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« Reply #2 on: August 23, 2010, 10:23:13 PM »

creepy clown
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KRAFTWERK
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Virtual Surreality


WWW
« Reply #3 on: August 24, 2010, 08:47:06 AM »

wierd  afro

What is the hack fractower?
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fractower
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« Reply #4 on: August 24, 2010, 06:55:32 PM »

I suspect that many of you can infer the algorithm directly from the following two images. More detail is below the images, but please try to guess the algorithm before reading more.

Towers of Bauble


The children of the Little Prince aren't getting along.






The basic idea is much like the complex methods which perform an angular remapping of the unit sphere with a radial power.

Z <- S(Z/|Z|) * |Z|^p +C.

The spherical remapping is specified geometrically rather than algebraically.
1. Start with a identity mapped unit sphere.
2. Draw a circle on the sphere and remap the sphere into the circle.
3. Add another circle and repeat.
4. Use a line to separate circles that overlap.
5. Whine about it taking longer to render than the Mandelbulb.

This method produces a fractal with lots and lots of knobs to play with. I plan to produce a more detailed writeup for the theory forum.

Frac

P.S. Can you guess what is different between the walled towers and those without walls? I was originally surprised when the walled towers showed up due to a typo.
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