[math-fun] Quotients of hyperbolic planes that give n-holed toruses?

Klein's quartic can be formed by taking a quotient of the {7,3} tiling of the hyperbolic plane, with 24 heptagons in all. The result is a 3-holed torus. Is there a general way to get n-holed toruses (n>2) from quotients of the hyperbolic plane? -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com