Our paper "Random triangles and polygons in the plane" was published recently in the *American Mathematical Monthly*. See this post about the preprint for more background, but the short version is that we give a novel answer to Lewis Carroll's question "What is the probability that a random triangle is obtuse?"

Above is an animated version of Figure 2 from the paper, showing a geodesic in triangle space. The geodesic starts at the equilateral triangle shown, and the three curved paths show the tracks of the three vertices.