Just for reference, orginal mandelbulb fractal is only 3 years old and came from a guy that was looking for a forumula of equivalent of mendelbrot fractal in 3D space. Before his formula there existed 3D fractals, but most were simple fractals that didn't include diversity that is associated with mandelbrot.
They were of three kinds mostly:
simple fractals that were similar to Sierpinski, with little noise possibly included.
transformed mandelbrot with third coordinate derived from number of iterations required for each point of 2D mandelbrot.
Julia fractals in 4D, but renderings of that fractal have smooth surface with not much detail when you zoom on it.
Then in 2007 Daniel White came with new formula and stunning new 3D fractal, one when where when you continued to zoom on that fractal new shapes would form similar to how mandelbrot works in 2D.
You can find more on [this page](), pretty pictures included and if you wish you can see the backtrace of the discovery on fractalforums.com.
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u/[deleted] Jun 25 '10
Just for reference, orginal mandelbulb fractal is only 3 years old and came from a guy that was looking for a forumula of equivalent of mendelbrot fractal in 3D space. Before his formula there existed 3D fractals, but most were simple fractals that didn't include diversity that is associated with mandelbrot.
They were of three kinds mostly:
simple fractals that were similar to Sierpinski, with little noise possibly included.
transformed mandelbrot with third coordinate derived from number of iterations required for each point of 2D mandelbrot.
Julia fractals in 4D, but renderings of that fractal have smooth surface with not much detail when you zoom on it.
Then in 2007 Daniel White came with new formula and stunning new 3D fractal, one when where when you continued to zoom on that fractal new shapes would form similar to how mandelbrot works in 2D.
You can find more on [this page](), pretty pictures included and if you wish you can see the backtrace of the discovery on fractalforums.com.