Torus

Torus
Dimensionality	2
Topology
Equivalent Manifold	'"`UNIQ--postMath-00000002-QINU`"' Torus
Euler Characteristic	0
Subfacets
Faces	1 torus
Hypervolumes
Surface Area	'"`UNIQ--postMath-00000001-QINU`"'

A torus is a two-dimensional surface produced from the cartesian product of two circles. It can also be considered as a tube where the two ends are connected in a ring. It makes up the surface of a three-dimensional solid torus.

Structure and Sections

As the compact orientable surface with Euler characteristic 0, it is topologically equivalent to all compact orientable surfaces with one handle.

Subfacets

• 1 torus (2D)

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