Thursday, September 02, 2010

Mathematics Lesson of the Day

Fractal Geometry

The Mandelbox - a 3D version of a Mandelbrot Set was discovered in 2010 and is producing some interesting video.

A trip into a Mandelbox with (relatively) constant zoom.

There are a lot of Mandelbox videos if you look.

And a good old-fashioned Mandelbrot Set - Constant Zoom.

Because someone will ask.
In mathematics the Mandelbrot set, named after BenoƮt Mandelbrot, is a set of points in the complex plane, the boundary of which forms a fractal. Mathematically the Mandelbrot set can be defined as the set of complex values of c for which the orbit of 0 under iteration of the complex quadratic polynomial zn+1 = zn2 + c remains bounded.

1 comment:

Zendo Deb said...

I guess I forgot to mention that these sets exhibit a structure that is self-similar at any level of detail.

Consider this video. Several sections of the same set, yet they look the same.

This isn't an artists idea. This is just the structure of the set when displayed in 2 dimensions. (Or 3 for the Mandelbox.)