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Without further information, there is no unique answer.

If the surface is topologically equivalent to a sphere, then the answer is 12. (chi = 2)

If the surface is topologically equivalent to a torus (donut), then the answer is 10. (chi = 0)

Given the Euler number of the surface, chi, F = chi - V + E, where F is the number of faces, V is the number of vertices, E is the number of edges.

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16y ago

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