1. Different parameterizations can lead to very different surfaces
    1. true and I can think of examples
    2. true but I'm not sure why
    3. false but I'm not sure why not
    4. false and I have a reason why not

  2. The following surfaces were not embedded isometrically via a C2 mapping into R3:
    1. models of hyperbolic geometry
    2. stereographic projection of the sphere
    3. flat torus
    4. all of the above
    5. none of the above

    upper half-plane model       conformal, circles and angles

  3. Gauss curvature K is
    1. intrinsic
    2. extrinsic
    3. a vector
    4. both a and c
    5. both b and c

  4. Gauss-Bonnet relates
    1. total Gauss curvature in geometry to Euler characteristic in combinatorial topology
    2. Gauss to Bonnet
    3. both of the above
    4. none of the above

  5. I can intuit the principal normal curvatures at a point on a surface
    1. agree
    2. unsure
    3. need help