Fractal of the Day :: Photo Of The Day and Natural History Commentary

5/30/2007

Fractal of the Day

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Whoa, here’s another crazy fractal from the Mandelbrot set. When I was setting the colors on this one it sort of reminded me of the trippy hippy art of the ’70’s. Right on man.

The Mandelbrot Fractal.  Fractals are complex geometric shapes that exhibit repeating patterns typified by self-similarity, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set, Mandelbrot set,  Copyright Phillip Colla, image #18737, all rights reserved worldwide.
The Mandelbrot Fractal. Fractals are complex geometric shapes that exhibit repeating patterns typified by self-similarity, or the tendency for the details of a shape to appear similar to the shape itself. Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves. Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns. The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set.
Image: 18737  
Species: Mandelbrot set
 

Fractal of the Day.


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