Maths encyclopedia and lessons  
Search

Mathematics Encyclopedia and Lessons

 
     
 

Lessons

Popular
Subjects

algebra
arithmetic
calculus
equations
geometry
differential equations
trigonometry
number theory
probability theory
more
 

References

applied mathematics
mathematical games
mathematicians
more
 
 

Seifert-Weber space

In mathematics, Seifert-Weber space is a closed hyperbolic 3-manifold. It is also known as Seifert-Weber dodecahedral space and hyperbolic dodecahedral space. It is one of the first discovered examples of closed hyperbolic 3-manifolds.

To construct it, notice that each face of a dodecahedron has an opposite face. We will glue each face to its opposite in a manner to get a closed 3-manifold. These faces do not line up, so to glue a pair of faces, rotate clockwise to line up the faces and then add an additional fifth of a complete clockwise rotation.

01-04-2007 01:18:14
The contents of this article are licensed from Wikipedia.org
under the GNU Free Documentation License. How to see transparent copy