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Missouri Scholars Academy > Math and Science > Complex Geometry


Title: Complex Geometry


Polarris Delsan - January 26, 2003 05:46 AM (GMT)
Yeeha, We're having some fun now.
This is for everyone who was in my major, or anyone who knows what this is:
Lookie

(it's also because no one was posting anything, and I wanted to talk to someone. lol)

AshleyG - January 30, 2003 01:24 AM (GMT)
Umm...neat picture, but for the rest of us- what is it? Enlighten me!

Seth - January 30, 2003 01:51 AM (GMT)
It's a Mandelbrot set, which is a fractal created by a certain set of mathematical equations. This is one of the more famous ones, along with Sierpinski's Triangle.

BoBayles - January 30, 2003 04:17 AM (GMT)
Fractals are incredibly cool. I came up with my own fractal, which looks mildly cool (I think, anyway)... If anyone's interested, the formula for it is 1-(z*z+(z-c)*(z+c))+(-0.1)*z .

Polarris Delsan - January 30, 2003 05:18 AM (GMT)
B) Bo's Fractal
I have never made up any good ones that someone else hadn't already made up, but I did zoom in and change the colors of many to make some really cool images. I also found some that other people though up :P
This one is amazingly cool but took a stupidly long time to render: Ethereal and is currently my background as shown here: Desktop

Fractals are fun :D

AshleyG - January 30, 2003 04:54 PM (GMT)
Fractals are cool! We started talking about them in Geometry the today and thanks to ya'll I already had an idea as to what they were.

caitc - January 30, 2003 11:19 PM (GMT)
wow, we never learned about fractals in geometry. we sorta talked about them in the gifted class in like ninth grade but not formulas and stuff. coolness. anybody any good at trig? I could always use some help.

Seth - January 30, 2003 11:50 PM (GMT)
What proggie do you use to render fractals Patrick?

<EDIT>WinAmp 3 is stupid. Get rid of it.</EDIT>

Polarris Delsan - January 31, 2003 12:06 AM (GMT)
Winamp3 works great for me. I haven't yet seen anything about it that I don't like.

I use an Ultra Fractal (http://www.ultrafractal.com) demo. It's really fast and lets you create your own formulae, which is compiles on the fly. It also has cool stuff like fractal layering, rendering to file, and all kinds of stuff. Jeesh I sound like an advertisment.
I think the new demo is more limited though, so I stick with the old one.

Ashley you lucky, we never got to do anything that interesting in Geometry. Our book had a couple little pictures and captions like "Fractals are drawn by high speed computers using complex numbers". As if that helps. If you want to know how they are drawn, I can tell/show you.

During MSA and my really cool major, I resolved to write a mandelbrot set drawing program in C++. So when I got back, I did just that. It's not nearly as fast as the one up there ^^^ and the colors are hard coded, but it works :D




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