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