Namespaces
Variants
Actions

Octahedral space

From Encyclopedia of Mathematics
Revision as of 17:14, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

A space obtained from an octahedron by identifying its opposite triangular faces, positioned at an angle of to each other. An octahedral space is a three-dimensional manifold and is the orbit space of the action of a binary octahedron group on a three-dimensional sphere. It can be identified with a cube space obtained in an analogous way. The one-dimensional Betti group of an octahedral space is a group of order three.

How to Cite This Entry:
Octahedral space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Octahedral_space&oldid=31753
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article