How can I cover a $n$-holed torus $(n\ge2)$ with $\frac{2-2n}{\frac pq-\frac p{2}+1}$ faces of regular hyperbolic tesselation {p,q}? I don't need the graphics, just the construction. For example, in the image at http://www.math.ucr.edu/home/baez/klein.html, the construction is an array$[56][3]$, which have each element from $1$ to $24$ ($24$ vertices) to describe which faces are created by which vertices. I just need to find a coloring pattern for a hyperbolic tessellation.
Edit: Assume the fraction is an integer. It is calculated directly from Euclid function V-E+F=2-2n.
Edit2: A way of going to its another copies in hyperbolic plane is also enough. There is also an example in http://www.math.ucr.edu/home/baez/klein.html. It is pretty on Klein's quartic, but probably not on other tessellations.
