- Which did you find most compelling for why great circles
are intrinsically straight and shortest distance paths?

a) string pulled tightly

b) masking tape

c) toy car

d) symmetry

e) other

- Why is the Pythagorean theorem false on the sphere?

a) Because we can create triangles with a hypotenuse the same length
as the other sides, making
*a*^{2} + a^{2}
= a^{2} false for a triangle with nonzero sides.

b) Because we can create the two base sides *a* and
*b* with string, flatten and
create *flat_c*, and put it back on the sphere to see that it is too
long, ie:
* a*^{2} +b^{2} = flat_c^{2} >
sphere_c^{2}

c) *Futurama* says so

d) all of the above

e) none of the above, because the Pythagorean theorem is true
on the sphere