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Mandelbrot Oscillations

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Uploaded on Jun 3, 2011

Each pixel of each particular video frame represents a particular complex number c = a + ib. For each sequential frame n, the magnitude of z(c,n) := z(c, n-1)^2 + c is displayed as a grayscale intensity value at each of these points c: larger magnitude points are whiter, smaller magnitudes are darker. As n rises from 1 to 256, points outside the Mandelbrot Set quickly saturate to pure white, while points within the Mandelbrot Set oscillate through the darker intensities.

The final images are simple, static depictions Mandelbrot set membership.

http://en.wikipedia.org/wiki/Mandelbr...

The song is "99999" from Valve's "Songs to Test By, Vol 1," the Portal 2 soundtrack, available for download at http://www.thinkwithportals.com/music...

(For ease of viewing, I've slowed down the frame rate on the early, less-familiar-looking patterns.)

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