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Published on Jan 8, 2012
Zooming in 2^83x (9,671,406,556,917,033,397,649,408) on the mandelbrot fractal. If you were to render the entire mandelbrot set at this level of detail there would be more pixels than their are atoms which make up Jupiter.
The mandelbrot set is a set of points on the complex plane for which using the formula Z = Z^2+C we don't get a number which escapes towards infinity. Due to us not having computers with infinite power we simply decide that if Z exceeds the overflow value (usually 2) then it's not part of the set as Z^2 will keep producing a higher and higher number. The colored bands represent the iteration count at which Z becames higher than the overflow.
The result is an image of chaos and order, incredible beauty and absolutely infinite complexity.
Unfortunately there wasn't enough space here to post the entire explanation for the mathematical explanation of the Mandelbrot set here but here is a link to where I explain it: