1. Ans:
V=4, E=5, F=3
V-E+F=4-5+3=2
2. Ans
V=7, E=12, F=7
7-12+7=2
V=1, E=0, F=1
1-0+1=2
#1 and # 2 are pretty straightforward. There will be a straightforward problem on the quiz :
(note: in all of the pictures, the numbers in blue count regions, the red dots are vertices, and the numbers in green count edges)
1. Ans: |
2. Ans
V=7, E=12, F=7 |
| 3. Kind of a trick problem. Ans: V=1, E=0, F=1 1-0+1=2 |
Now, all of the others are harder: there are things that can go wrong besides just counting stuff incorrectly. Check out these pictures, and decide which you think are correct and why:
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#7 Answers
