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Fractal Geometry of Nature


Racoon

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  • 5 months later...

this 3-dimentionalization of mandelbrot's set just came to my attention this cold and, per se, frosty morn. danke herr jones. :phones:

 

 

Mandelbulb: The Unravelling of the Real 3D Mandelbrot Fractal

 

TIMESTAMP 08/11/2009. The original Mandelbrot is an amazing object that has captured the public's imagination for 30 years with its cascading patterns and hypnotically colourful detail. It's known as a 'fractal' - a type of shape that yields (sometimes elaborate) detail forever, no matter how far you 'zoom' into it (think of the trunk of a tree sprouting branches, which in turn split off into smaller branches, which themselves yield twigs etc.).

 

It's found by following a relatively simple math formula. But in the end, it's still only 2D and flat - there's no depth, shadows, perspective, or light sourcing. What we have featured in this article is a potential 3D version of the same fractal. For the impatient, you can skip to the nice pics, but the below makes an interesting read (with a little math as well for the curious). ...

 

i like this shot, but there's many more at the link as well as discussions on the math used to create them.

 

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