A good aid in attempting to visualise higher dimensional form. In the table you list the numbers of types of spheres in various dimensions. I'm clear on 2D 3D having 1 type each, but have difficulty imagining a 1D sphere. Surely a singular dimension can contain no form and shouldnt be treated the same as combinations of dimensions, ie 2 and above, maybe I missed something. Fascinating and thought provoking, thank you