Triple torus

Triple torus
Dimensionality	2
Topology
Equivalent Manifold	'"`UNIQ--postMath-00000001-QINU`"' Triple torus
Euler Characteristic	-4
Subfacets
Faces	1 triple torus

A triple torus is a topological surface with three holes, formed from the connected sum of three tori. It has an orientable genus of 3 and an Euler characteristic of -4.

Structure and Sections

All orientable manifolds with three holes (i.e. with an Euler characteristic of -4) are homeomorphic to the triple 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