I stopped reading early, when he's claiming pi is better for the area of a circle, because that revealed that the author hasn't really thought about this very m

I stopped reading early, when he's claiming pi is better for the area of a circle, because that revealed that the author hasn't really thought about this very much. If you look at the equations for the volumes of spheres in n dimensions (with 2D being just one of them), tau shows a clean pattern. pi leaves you with a mess.