Abstract
In the study of extremal surfaces it is important to see the side-pairings of the generic fundamental polygons. For the regular 30-gon in the hyperbolic plane it is known that there are 1726 side-pairing patterns to make a compact surface of genus three. If we consider the mirror images of these patterns, then there are essentially 927 patterns. In the present paper we give the 927 side-pairing patterns completely.
Citation
Jacek Ch\k{a}dzy\'{n}ski. Gou Nakamura. "Generic fundamental polygons for surfaces of genus three." Kodai Math. J. 27 (1) 88 - 104, March 2004. https://doi.org/10.2996/kmj/1085143791
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