First, at the continuum level, the surface mobility of particles can only depend on Gaussian curvature K, and not on mean curvature H. This is related to the fact that developable surfaces-surfaces with vanishing K-are isometric to a plane. Obviously, this is only true for diffusion along the surface, whereas any curvature, K or H, will affect the observed motion of the particle in experiments that assume a planar membrane. Secondly, on surface regions with K > 0 (elliptic paraboloids) mobility is thought to decrease, while on region with K < 0 (hyperbolic paraboloids) it is increased. In addition to these observations, the ratio of the real and projected long-time diffusion coefficients are shown to closely follow a so called area-scaling law under a broad range of conditions. Details about the area-scaling law can be found in the Supporting Information (section 3.3).