Weavings and Tilings
At the Bridges Math and Art Conference in Portugal I learned quite a bit about mathematics and weaving. One of the many simple and fun ideas I left with was using weaving to explore tilings of the plane.
With some graph paper to plan your tiling, some pre-cut construction paper to assemble them, and some patience to work through the process, you can produce some nice results. Here are some examples from a recent Math for America workshop I led on Math and Art. More images can be seen on my Facebook page.