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Torus many count. Using the preceding calculations and the notion of a connected sum, compute the Euler Characteristic for a three-holed torus. (First think about how to put together a three-holed torus using a two-holed and a one-holed torus.) Make a conjecture as to what the Euler Characteristic is for a torus with four holes, five holes, and, in general, h number of holes.
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