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Poincaré Formula

The Polyhedral Formula generalized to a surface of Genus $p$.


where $V$ is the number of Vertices, $E$ is the number of Edges, $F$ is the number of faces, and

\chi\equiv 2-2p

is called the Euler Characteristic.

See also Euler Characteristic, Genus (Surface), Polyhedral Formula


Eppstein, D. ``Fourteen Proofs of Euler's Formula: $V-E+F=2$.''

© 1996-9 Eric W. Weisstein