Gauss-Bonnet Day 

2) 336
3) 24
4) 360-(108+108+60+60) b/c pent has 108 at each angle & equil. has 60 at each corner
5) 360-288=72
6) 3
7) 24
8) 72

9) inside the pentagon 'ribbon', each angle is 120 degrees, so it deflects 60 degrees
   60*5=300
10) 5 verts * 12 deg = 60 deg (Note: 120+120+108=348 degrees per vertex)
11) 0
12) 0
13) 2Pi
14) 2Pi
15) 1st way: angle deficit = 90+90+90+90+90+(-90)=360 = 2Pi
    2nd way: angle defect = 2Pi - 0 = 2Pi

16) 0
17) sum of cone points = 2Pi/3 = angle deficit
    2Pi-angle defect = 2Pi/3   
    angle defect = 4Pi/3
18) If equal to a sphere: sum of cone points = 2Pi
    If equal to a torus: sum of cone points = 0
    2Pi = inside + outside = 2Pi/3 + outside
    outside= 4Pi/3
19) 0 = inside + outside = 2Pi/3 + outside
    outside = -2Pi/3
20) angle defect = 11Pi/4
    angle deficit = 5Pi/8 + k
    2Pi - 11Pi/4 = 5Pi/8 + k
    k = -11Pi/8
21) hyperbolic:  -11Pi/8 + Pi/4 + 3Pi/8 = -3Pi/4  (negative)
22) 2Pi = -3Pi/4 + q  where q=11Pi/4 
    **** NOTE: THIS IS BOGUS!!!!  This curvature value means MORE than 2Pi was removed 
    ***  from the cone point!!!!  So, you can't build this!!!! 
23) 0 = -3Pi/4 + 2q where q = 3Pi/8  which you can actually build :)