Quadruple torus

Quadruple torus
Dimensionality	2
Topology
Equivalent Manifold	'"`UNIQ--postMath-00000001-QINU`"' Quadruple torus
Euler Characteristic	-6
Subfacets
Faces	1 quadruple torus

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.

See Also

$\mathbb S^{2}$	$\mathbb{T}^2$	$2\mathbb{T}^2$	$3\mathbb{T}^2$	$4\mathbb{T}^2$
Sphere	Torus	Double torus	Triple torus	Quadruple torus