Technicolor Julias

re: Technicolor Julias

Matt — Wed, 14 Sep 2011 04:04:52 GMT

Ah, I love Mandelbrot fractals. They are thing that first got me interested in programming

re: Technicolor Julias

gtpunch — Mon, 05 Feb 2007 19:07:15 GMT

I tweaked the code a little to use doubles instead of floats inside the pixel shader, which allows for a little more zooming without pixellation. It still pixellates before I'd expect it to though. I also added the ability to change the number iterations with a couple of buttons which gives a great effect. The max useful iterations is about 254. I can share the code if it's of any use.

re: Technicolor Julias

Shawn Hargreaves - MSFT — Thu, 14 Dec 2006 05:00:31 GMT

I think it's running up against the limits of 32 bit floating point precision. Fractals can only zoom forever if you have an infinitely precise way of doing your calculations...

re: Technicolor Julias

eckythump — Thu, 14 Dec 2006 04:54:02 GMT

First off great work, I'm impressed, was going to try to draw a mandelbrot for my first XNA program but mine wouldn't have been anywhere near has good.

Any reason why after a certain amount of zoom, the image gets pixelated and unmovable? can't fractals zoom indefinitly? I changed the fx file so that iterations was a paramter instead of a constant, and that helped, but still I eventually get lots of blocks.

Anyway - great work.

Hack-1 Looking Back / Looking Forward

Darksides - Hack-1 Project — Thu, 14 Dec 2006 01:03:36 GMT

Looking back In the beginning there are darkness..., damn stop , too far back Looking back to before...

re: Technicolor Julias

Shawn Hargreaves - MSFT — Wed, 13 Dec 2006 04:32:47 GMT

Poor Mr Mandelbrot didn't have a pixel shader to run this stuff on :-)

Crazy to think that what for him was a batch process where a supercomputer had to be left crunching overnight, and you'd get the results as a printout the next morning, I can now do the same thing in totally smooth realtime on a $400 piece of consumer electronics!

re: Technicolor Julias

MSDNArchive — Wed, 13 Dec 2006 03:55:45 GMT

The Mandelbrot set is the catalog of Julia sets. If you take a point near the boundary of the Mandelbrot set, near spirals, the Julia set corresponding to that Mandelbrot point will also contain spirals. Points from a spikey area of M will produce spikey J's. J's from points outside the M boundary will be disconnected; J's from inside the M boundary will be connected or globular.

Facinating stuff.

And to think, Mr Mandelbrot was sure (at first) that the spot of black near the origin on his printouts was was caused by arithmetic roundoff error!