Möbius strip

Twisted paper band

A Möbius strip is a surface with only one side and one edge, created by taking a rectangular strip, giving it a half-twist, and joining the ends together.

If you trace a line along the surface, you'll return to your starting point having covered both "sides" without lifting your finger or crossing an edge.

This mathematical curiosity, named after German mathematician August Ferdinand Möbius, appears in discussions of topology and has practical applications in conveyor belts and recording tapes that wear evenly on both surfaces.

Related

endless loop · surface · projective plane · Escher · M.C. Escher · topology · manifold · edge · ribbon · paper · paper craft · Möbius · impossible · infinity symbol · mathematics · band · crawling · geometry

Opposites
topological surface orientation

Möbius stripcylinder

Circular-based solid form

annulus · torus · sphere · plane · square

geometric twist

Möbius stripplain band

wedding band

Family

strip, stripe, striped, strips, stripper, stripping, unstriped

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Top 500,000
Profile
Used worldwide · Timeless · Concrete · Rated G