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This is probably about Euler's formula V - E + F = 2,

where V is the number of vertices, E he number of edges and F the number of faces.

Example: a cube has 6 faces (F = 6) and 8 vertices (V = 8). So the formula tells us that

8 - E + 6 = 2, and so E = 12. Yes, a cube has 12 edges.

Euler's formula only works for standard polyhedra, not unusual things like star polyhedra.

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Q: How can you calculate the number of edges of a polyhedron without counting them?
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