The Polyhedral Formula generalized to a surface of Genus .

where is the number of Vertices, is the number of Edges, is the number of faces, and

is called the Euler Characteristic.

**References**

Eppstein, D. ``Fourteen Proofs of Euler's Formula: .'' http://www.ics.uci.edu/~eppstein/junkyard/euler/.

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1999-05-25