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Fractal Math, Chaos Theory & Research => General Discussion => Topic started by: jgabase on January 14, 2012, 09:19:04 PM




Title: Dynamic Bailout
Post by: jgabase on January 14, 2012, 09:19:04 PM
Did you know that you can create a wormhole effect on your fractals by changing the bailout dynamicaly?  :-*



Title: Re: Dynamic Bailout
Post by: DarkBeam on January 15, 2012, 09:25:33 AM
Palette cycling? Known since Fractint ... :D Not not new


Title: Re: Dynamic Bailout
Post by: hobold on January 15, 2012, 06:58:22 PM
This is not palette cycling, but a gradual change of the bailout radius. But admittedly you can get identical results with computing a continuous potential (smoothed iteration count), and then do palette cycling afterwards.

The only difference is that animating the bailout radius will produce visible artifacts for very small radii. That's because the bailout radius in a mandelbrot program is actually an approximation to mathematical infinity ... and it takes larger radii to make that approximation (the outside of the bailout disk to an infinitely distant point) reasonably close.

In my experience, a bailout radius of 10 often suffices to make the level sets fairly good approximations of ideal equipotential curves. But calculation of continuous potential still has artifacts and requires at least one more iteration, which means a bailout radius of 10*10 = 100 or more.


Title: Re: Dynamic Bailout
Post by: Adam Majewski on April 20, 2012, 08:32:48 PM
Nice effect. See also
http://en.wikibooks.org/wiki/Fractals/Iterations_in_the_complex_plane/Mandelbrot_set#Video (http://en.wikibooks.org/wiki/Fractals/Iterations_in_the_complex_plane/Mandelbrot_set#Video)


Title: Re: Dynamic Bailout
Post by: Alef on April 21, 2012, 05:37:06 PM
Cool pictures, throught yes, colour cycling can do it to.