Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Generic fundamental polygons for surfaces of genus three
Gou Nakamura
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2004 年 27 巻 1 号 p. 88-104

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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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© Department of Mathematics, Tokyo Institute of Technology
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