New Educational Project

[Furan]

There are some new forces trying to stimulate Math education in my home country and I had this idea to contribute:

Imagine a very simple matlab-like freeware application for generating images by equations. There would be some system functions like RGB-HSV-HST conversions, units vs pixel coordinates, draw line, draw circle, draw y=f(x), draw axes with tics and numbers, etc.
Obviously I don't want to step into Fractal software, or general Matlab/Octave/... territory. This should be a simple straight forward tool for math exploration.

Before I push this idea any further, I would like YOU to help me compile a library of samples to show this can be done and prime/high-school students can learn something from it. First I would like to scout the possibilities. Than I imagine the library would become official without the algorithms and students from all over the country could compete.
My immediate aim is for simple algorithms that produce eye-candy images.
http://furan.sweb.cz/MathPainter.htm (Simple matlab algorithm is included)

Post your codes here. (Main equations only.) Thanks in advance. 

[Syntopia]

For educational and graphical programming, you should consider Processing:
http://processing.org/

Easy to get started with simple drawing, yet scales to complex stuff.