Posted by **KiKi** on Sunday, May 2, 2010 at 3:02pm.

Answer the following questions to determine why Euler’s

formula continues to hold for the polyhedron formed by

cutting corners off of an octahedron, :

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?

- math-PLEASE HELP -
**MathMate**, Sunday, May 2, 2010 at 6:15pm
In case you are not already familiar with the notations,

V=number of vertices (corners) of the octahedron.

F=number of faces

E=number of edges

The following link shows what happens when a corner of the octahedron is cut away. I'll let you complete the answers to the question.

http://img204.imageshack.us/img204/5302/euler.jpg

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