Euler Polyhedron Formula/Examples
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Examples of Use of Euler Polyhedron Formula
Tetrahedron
The tetrahedron has:
We see that:
\(\ds V - E + F\) | \(=\) | \(\ds 4 - 6 + 4\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 2\) |
and so the Euler Polyhedron Formula is seen to hold.
Cube
The cube has:
We see that:
\(\ds V - E + F\) | \(=\) | \(\ds 8 - 12 + 6\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 2\) |
and so the Euler Polyhedron Formula is seen to hold.