Here's a fun puzzle I found out about recently. It's called
Ancient Greek Geometry. The challenge is to create different shapes (like triangles, and circle patterns) using only a straightedge and a compass. For example, here's a solution for a hexagon:

Hexagon Created Using a Straightedge and Compass 
The program runs right in your browser and is easy to learn. Just point your students to the website (
http://sciencevsmagic.net/geo/) and they'll figure out the rest.
There's also a number of other neat features from the same people at their
website.
It is truly a great and helpful piece of information.
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