Nov 10, 2005 - 0 Comments - Fractals -

The humble Mandelbrot

I used to think it was cliche and juvenile, but after three and a half years I’ve never tired of seeing new variations of the classic mandelbrot man.


Download parameter file brot02.xpf

Maybe it’s the shape: well balanced, curved, pointed, detailed edges, solid spaceous center.

Also, for reasons beyond my mathematical capabilities to explain, the mandelbrot guy appears in various places with slightly different characteristics.

He reminds me of Alfred Hitchcock. Also a Geography professor I used to know with a big paunch who wore his pants halfway up his stomach.

But you know, why does everyone assume it’s a man?

Well, on second thought, let’s not go there. It could just be that since it’s named after the mathematician Benoit Mandelbrot, that it got its gender that way.

Back to the math. The inside of the mandelbrot is uh, the inside part. It’s separate from the outside part. Well, forget the math…

I’ve used the squares in-coloring method here and the biomorphs out-coloring method. It’s the plain mandelbrot equation, although I don’t actually know what that is. It’s your base model without any options. The shortest formula you can have, I think.

If you’ve got the Xaos program, try this parameter file out and just keep pushing the “P” key, the random palette key, and you’ll see how versatile the old mandelbrot man is as a design element.

That’s all I really did to get this nicely colored image. I got a couple more and had a hard time choosing which one to use.

I’m sure someone’s used this shape to make jewellry. I guess you couldn’t really copyright or patent it, though. I wonder if anyone’s ever had one engraved on a tombstone?

Well, there you have it. Say hello to old fat boy, the pig with two tails and a pencil in his head. I think we’ll be seeing a lot more of him around as fractals take to the stratosphere and shower the world with wonder.