Since I'm in Washington, DC which is currently getting a foot of snow on top of the 2' we already have, I thought I'd get an early jump on my February project for the Math Forum.
It's about Girih tiles, which are used to make many of the gorgeous and intricate patterns seen in centuries-old Islamic architecture.
When you take advantage of SketchUp's components, you can transform tiled models into amazing objects:
The story of the discovery of these tiles is rather fascinating: http://www.nytimes.com/2007/02/27/science/27math.html
If you want to play around with these tiles yourself, download the project - it's free!
Anyone can design anything in 3D! http://www.3dvinci.net/