Generic fundamental polygons for surfaces of genus three
Jacek Ch\k{a}dzy\'{n}ski, Gou Nakamura
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Source: Crossref
Published: Mar 1, 2004
DOI: 10.2996/kmj/1085143791
Open original source ↗Source 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.
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