Here's a cool thing I posted on my math blog. It's in Norwegian, but I think you'll dig the short video.
I do math and music talks with a well-known Norwegian drummer. He's a really great guy. In this video he takes an African groove pattern and then layers a polyrhythm, every third beat and every fourth beat, and plays all three simultaneously with two hands and one foot. He illustrates this with a geometric pattern.
Here's the link. I didn't put it in the url field because I didn't want to scare you away with the foreign language. You can look at the pictures and then watch the 30 second clip.
http://matematikksenteret.no/content/4614/Polygoner-og-polyrytme