Math and Weaving — Belt Weaves

Here are some examples of what I call “belt weaving” (I’m sure there’s a better term).  The basic idea is to begin with long strips of construction paper, oriented perpendicularly, and then weave and fold your way down.

Here are two examples of 2×2 belt weaves.  In both cases, the same kinds of strips are used,  but in a different initial configuration.

The 3×3 belt weaves offer more initial configurations, and show more complexity.

There is a rich and interesting structure to explore in these “belt weaves”.  For example, these two weaves look similar, but are indeed different.

My students and I had fun exploring the mathematical relationships between the various belt weaves.  I will share some of our ideas and results in my series on Weaving in Math Class.