iPhone visualizing math pattern

I'm toying with an app idea for the iPhone but I don't know where to start or even what to look for in google :) I'd like to visualize math patterns on the iPhone, similar to this http://itunes.apple.com/us/app/patterns-lite/id304565312?mt=8 ... If someone could point me into the right direction then t开发者_开发问答hat would be fantastic. Originally, I had the idea of plotting the math pixel by pixel onto a texture but I think I'm way off. Thanks, Carl.

---

The first step is to subscribe to the iTunes University lecture series: iPhone Application Development (Winter 2010) podcast here: link text

Watch Lecture 5. Views, Drawing, and Animation (January 19, 2010)

That will show you how to draw and plot to the screen. The basic drawing model on iPhone is path-based (as opposed to pixel-based) so that's where you should start.