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Triple torus
In the theory of surfaces, a triple torus refers to a smooth closed surface with three holes, or, in other words, a surface of genus three. It can be obtained by attaching three handles to a sphere or by gluing (taking the connected sum) of three tori.
A sphere with three handles, The connected sum of three tori, Pretzel-style triple torus
Dodecagon with opposite edges identified, Tetradecagon with opposite edges identified
Klein quartic
An example of a genus-3 Riemann surface is the Klein quartic.
See also
Double torus
Three-torus
External links
Weisstein, Eric W., "Triple Torus", MathWorld.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
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