#4: What is tricky about this is coordinating the vertices and edges of the triangle
Correct ways to split up the triangle | V, F and E for correct ways | Incorrect ways to split up the triangle | What's wrong |
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V=3, E=3, F=2 3-3+2=2 |
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Edges have to go between vertices, so there has to be at least one vertex. |
V=1, E=1, F=2 1-1+2=2 |
Edges go between vertices. If there isn't a vertex, the edge just keeps going--an edge doesn't split into two edges without a vertex. |
5. Again, it's the tricky triangles that cause the problems
Correct ways to split up the shape | V, F and E for correct ways | Incorrect ways to split up the shape | What's wrong |
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V=2, E=3, F=3 2-3+3=2 |
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Edges go between vertices. If there isn't a vertex, the edge just keeps going--an edge doesn't split into two edges without a vertex. |
V=6, E=7, F=3 6-7+3=2 |
6. Surprise, surprise, it's tricky triangles that cause problems again (maybe I should have made up some problems with tricky squares)
Correct ways to split up the shape | V, F and E for correct ways | Incorrect ways to split up the shape | What's wrong |
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V=2, E=3, F=3 2-3+3=2 |
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Edges go between vertices. If there isn't a vertex, the edge just keeps going--an edge doesn't split into two edges without a vertex. |
V=4, E=5, F=3 4-5+3=2 |