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Faces

Can a polyhed...

Question

Can a polyhedron have 14 faces, 34 edges and 33 vertices?

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Solution

F = 14, E = 34, V = 33

F + V - E = 14 + 33 - 34

( $13 \neq$ 2)

Euler's Formula is not verified and therefore such a polyhedron does not exist.

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