Difference between revisions of "Möbius strip"

From Encyclopedia of Mathematics
Jump to: navigation, search
m (moved Möbius strip to Moebius strip: ascii title)
m (moved Moebius strip to Möbius strip over redirect: accented title)
(No difference)

Revision as of 07:55, 26 March 2012

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:
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article