Klein bottle

Klein bottle
Dimensionality	2
Topology
Equivalent Manifold	'"`UNIQ--postMath-00000001-QINU`"' Klein bottle
Euler Characteristic	0
Subfacets
Faces	1 Klein bottle

A Klein bottle is a two-dimensional non-orientable surface with an Euler characteristic of 0. It can be formed from the connective sum of two real projective planes.

Structure and Sections

All nonorientable closed surfaces with two crosscaps (i.e. with an Euler characteristic of 0) are homeomorphic to the Klein bottle due to the classification theorem of closed surfaces.

See Also

$\mathbb S^{2}$	$\mathbb{RP}^2$	$2\mathbb{RP}^2$	$3\mathbb{RP}^2$
Sphere	Real projective plane	Klein bottle	Dyck's surface