A quadruple torus is a topological surface with four holes, formed from the connected sum of four tori. It has an orientable genus of 4 and an Euler characteristic of -6.
Structure and Sections
All orientable manifolds with four holes (i.e. with an Euler characteristic of -6) are homeomorphic to the quadruple torus due to the classification theorem of closed surfaces.
- ↑ http://mathworld.wolfram.com/Genus.html
- ↑ http://mathworld.wolfram.com/EulerCharacteristic.html
- ↑ http://en.wikipedia.org/wiki/Surface_(topology)#Classification_of_closed_surfaces