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Mandelbrot In Three Dimensions

15th December, 2009  |  4 Comments

The unbelievably beautiful renderings of the Mandelbrot set is known the world over. Now, mathematicians with particular interest have attempted creating a three-dimensional version, called the Mandelbulb. Though I haven't read through the mathematical background, the images themselves are impressive illustrations of the complex self-similarities so characteristic of fractals but with an entirely new dimension to them.

Segment of a mandelbulb rendering

It is a marvel that the simple formula zn+1 = zn2 + c is the foundation and perhaps one of the best examples of why math is so fascinating.

Many more images and a thorough explanation in the unravelling of the real 3d mandelbulb

« Keynes and the Economy  –  Happy Exploration »

4 Comments

Jacob Oettinger

15th December, 2009

Cool! It looks kinda like tissue or insects under very high magnification.

http://liliannattel.wordpress.com/2009/04/05/rare-butterflies/


travesti

1st September, 2010

Plaesa cool look high plaese


travesti

1st September, 2010

Yopu wherek the


travesti

1st September, 2010

Chine the glanster post


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