Difference between revisions of "Möbius strip"
From Encyclopedia of Mathematics
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Revision as of 18:53, 24 March 2012
A nonorientable 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 onesided surface (see Onesided and twosided 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=12249
Möbius strip. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=M%C3%B6bius_strip&oldid=12249
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics  ISBN 1402006098. See original article