Möbius strip

[ mœ-bee-uhs strip, mey‐moh‐ ]

noun

, Geometry.

1. a continuous, one-sided surface formed by twisting one end of a rectangular strip through 180° about the longitudinal axis of the strip and attaching this end to the other.

Möbius strip

/ ˈmɜːbɪəs; ˈmøːbiʊs /

noun

1. maths a one-sided continuous surface, formed by twisting a long narrow rectangular strip of material through 180° and joining the ends

Möbius strip

/ mō′bē-əs /

1. A continuous one-sided surface formed by rotating one end of a rectangular strip 180° and attaching it to the other end.
2. Compare Klein bottle

Word History and Origins

Origin of Möbius strip¹

1900–05; named after A. F. Möbius ( def )

Word History and Origins

Origin of Möbius strip¹

C19: named after August Möbius (1790–1868), German mathematician who invented it

Example Sentences

Luxembourg’s pavilion will look like a giant Möbius strip pushed over on its side.

From Ozy

He took the embedded Möbius strip and rotated it, the way you could imagine holding a block in front of you and twisting it a bit to the left.

From Quanta Magazine

Therefore, every possible rotation of the embedded Möbius strip must also intersect itself — meaning every closed, smooth curve must contain sets of four points that can be joined together to form rectangles of all aspect ratios.

From Quanta Magazine