Triple torus
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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.
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A sphere with three handles
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Triple torus array.png
The connected sum of three tori
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Pretzel-style triple torus
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Dodecagon with opposite edges identified
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Tetradecagon with opposite edges identified
Klein quartic
An example of a genus-3 Riemann surface is the Klein quartic.