Euler Polyhedron Formula/Examples/Cube

Examples of Use of Euler Polyhedron Formula

The cube has:

$8$ vertices
$12$ edges
$6$ faces.

We see that:

\(\ds V - E + F\) \(=\) \(\ds 8 - 12 + 6\)
\(\ds \) \(=\) \(\ds 2\)

and so the Euler Polyhedron Formula is seen to hold.


Sources

  • 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Euler's Theorem
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