Möbius strip
From Encyclopedia of Mathematics
Revision as of 18:53, 24 March 2012 by Ulf Rehmann (talk | contribs) (moved Möbius strip to Moebius strip: ascii title)
A non-orientable surface with Euler characteristic zero whose boundary is a closed curve. The Möbius strip can be obtained by identifying two opposite sides 
and 
of a rectangle 
so that the points 
and 
are matched with the points 
and 
, respectively (see Fig.).
Figure: m064310a
In the Euclidean space 
the Möbius strip is a one-sided surface (see One-sided and two-sided surfaces).
The Möbius strip was considered (in 1858–1865) independently by A. Möbius and I. Listing.
How to Cite This Entry:
Möbius strip. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=M%C3%B6bius_strip&oldid=23422
Möbius strip. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=M%C3%B6bius_strip&oldid=23422
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article