It's time to get your hands dirty, digging into geometry. Starting with simple paper units that can hook together, one can create a bewildering variety of different shapes and forms. As we construct and explore, we will find that some things just don’t work -- and we may miss something beautiful. How can we gain some control over our exploration? The power of math, of course! Join mathematician Edmund Harriss and play with paper models as we start to investigate some of this mathematics, ranging from properties that have been known for over 2,000 years to more recent discoveries about four-dimensional space.