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=__,E=__
b) when you slice off one corner of the octahedron, you (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 ___.

I have for a v=6, F=8 and E=12 but that does not come out to showing Euler formula correctly.

1 answer

For an octahedron, V =__8__, F = __6__, and E =
__12___.
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