Regruntled.com

 

It’s hard to describe the fascination of the Mandelbrot Set.  It’s something that is “already out there” in the sense that it is implied by some simple equations.  All it takes to explore it is billions of multiplications carried out to 100 decimal places.  It’s a fractal, so at any magnification, it’s somewhat similar.  On the other hand, it never repeats exactly, so it’s always different.  There’s always something that no one has ever seen before because no one has done the multiplications.  You might say that this is a two-dimensional, graphical version of looking at a billion digits of Pi.  A description is here.