I think the 3D representation of any such spherical geometry parameterized with two sets of Bezier control points is fascinating. Imagine each slice of the curve along one direction, it's as if we set one of the pair of Bezier coordinates and then do a plain 2D linear combination; now switching to the other direction, what intuitively Bezier does is to integrate over the other coordinate while applying the other direction of Bezier function, forming a continuous and smooth surface.
I think the 3D representation of any such spherical geometry parameterized with two sets of Bezier control points is fascinating. Imagine each slice of the curve along one direction, it's as if we set one of the pair of Bezier coordinates and then do a plain 2D linear combination; now switching to the other direction, what intuitively Bezier does is to integrate over the other coordinate while applying the other direction of Bezier function, forming a continuous and smooth surface.