1. The problem statement, all variables and given/known data this is a 2 part problem let G: T-----> (Sigma) be the gaus map of the torus T derived from its outward unit normal U. What are the image curves under G of the meridians and parallels of T? What points of (Sigma) are the image of exactly two points of T? And Let G: M---->(Sigma) be the Gauss map of the saddle surface M: z=xy derived from the unit normal. What is the image under G of one of the straight lines, y= constant in M? How much of the sphere is covered by the entire image G(M) 2. Relevant equations Part 1: Unit normal of z=xy U= [-fxU1- fyU2+U3]/ (1+ (fx)^2 + (fy)^2)^1/2 3. The attempt at a solution I dont know how to do any rigorous proofs for these, but i am not sure we are suppose to. Ok for part 1 here is what i think. I think if you travel along the surface of the torus, along the meridian, you it will be mapped to a circle (in the xy plane). if you travel along the meridians you will get a circle in the xz plane. And the points in sigma thare are exactly 2 points in T are the North and south poles of the unit sphere. And for part 2 i am completley lost, am i even on the right track for part one? any help is appreciated.