I’ve been reading Clifford Pickover’s excellent and entertaining **The Math Book**. Its topics are arranged chronologically, with each entry just one page long and paired with a beautiful illustration. It’s the perfect book to keep by your easy chair, where you can pick it up and have a quick read.

One of the entries is about Archimedes’ *Stomachion*, which is pictured below. If you print it and cut out the pieces, there are 17,152 different ways you can arrange them into a square!

I constructed the one below using GeoGebra, but for a geometry class that is learning the classic straightedge and compass constructions, it would be a nice exercise to draw one using those tools. The only constructions necessary are midpoint of a segment and parallel line through a point.

Get out your scissors and have fun!