Encyclopedia > Pseudosphere

  Article Content


A pseudosphere is a Riemannian manifold with constant negative intrinsic curvature. It can be defined with any number of dimensions >=2; the rest of the article will discuss the two-dimensional one.

The pseudosphere is the space described by hyperbolic geometry. It has a unit of length, the anti-radian (is that right?), which is the radius r of a circle whose circumference is 2πsinh(1)r.

It is impossible to embed a complete pseudosphere smoothly in R3. It is possible to embed part of it as a tractricoid.

All Wikipedia text is available under the terms of the GNU Free Documentation License

  Search Encyclopedia

Search over one million articles, find something about almost anything!
  Featured Article
BBC News 24

... West London. See also: List of British television channels External Links BBC News 24 live video streaming at 34K ...

This page was created in 23.5 ms