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.
|Sphere||Torus||Double torus||Triple torus||Quadruple torus|