Homework Help Forum: geometry

Posted by jeng on Saturday, October 24, 2009 at 1:00am.

Answer the following questions to determine why Euler’s formula continues to hold for the polyhedron formed by cutting corners off of an octahedron, as in Figure 11.35(b): a. For an octahedron V = , ____,F = ____, and E = _____. b. When you slice off one corner of the octahedron, you (gain or lose) ____ vertices, (gain or lose) ____ faces, and (gain or lose) ____ edges. c. Therefore, the total change in V is ____; the total change in F is ____; and the total change in V + F is ____. d. The total change in E is ____. e. What does the comparison of the total change in V + F to the total change in E tell you?

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