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This post contains images based on the straightedge-and-compass constructions discussed in Part 1. Plotting points All the circles and lines Just for fun, here are two other images, the first shows all of the distinct lines and circles you can…

How many distinct constructions can be made with a straightedge and compass if we draw \(n\) lines and circles? Describing a straightedge-and-compass construction Initially we start with two points, which we call \((0,0)\) and \((1,0)\). At each step, we can…

Ever since Bill Keehn and I started writing our paper, “Counting Tilings of the 𝑛 × 𝑚 Grid, Cylinder, and Torus,” I’ve been noticing and taking photos of tiles that I see that exhibit interesting symmetries. My wife will sometimes…