Triple torus
"3-torus" redirects here. For the three-dimensional space, see Three-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.
- Several representations of a triple torus
- 
 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
External links
This article is issued from Wikipedia - version of the 4/26/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.