Differential Geometry and Geometric Structures
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Students' Work: Klein Bottle

Illustration

The Klein bottle is a two-dimensional differentiable manifold that is not orientable. When embedded in three-dimensional Euclidean space the Klein bottle is self-intersecting and one-sided, i.e., the surface does not admit a continuous field of unit normals.

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Archimedean Solids
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Dupin Cyclides
Elliptic Linear Congruence
Geodesics on a Cone
Helices on a Helicoid
Hyperosculating Spheres
Impossible Objects
Klein Bottle
Knots
Menger Sponge
Möbius Tetrahedra
Pascal's Pyramid
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Planar Sections of a Torus
Platonic Solids
Prince Rupert's Cube
Saddle Surfaces
Schwarz Lanterns
Snails
Spherical Loxodromes
Stationary Points
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Last modified on February 18th, 2016.