How does one construct an octagon and side pairing transformations on that octagon, so that the surface is a closed surface of genus 2?

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I am aiming to determine what are the initial characteristics of a side-pairing transformations for a hyperbolic octagon so that a Fuchsian group may be generated and a surface of genus 2 can be formed from the quotient of the hyperbolic plane and a Fuchsian group.