Möbius strip
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In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was disco
A paper Möbius strip
Mosaic from ancient Sentinum depicting Aion holding a Möbius strip
Chain pump with a Möbius drive chain, by Ismail al-Jazari (1206)
Endless Twist, Max Bill, 1956, from the Middelheim Open Air Sculpture Museum
Klein bottle
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In mathematics, the Klein bottle is an example of a surface with no distinct inside or outside. In other words, it is a one-sided surface which, if traveled upon, could be followed back to the point o
Möbius strip
…therefore the whole strip can be stretched without crossing itself to make the edge perfectly circular. One such example is based on the topology of the Klein bottle, a one-sided surface with no boundary that cannot be embedded into three-dimensional space, but can be immersed (allowing the surface to cross itself…
Immersed Klein bottles in the Science Museum in London
A hand-blown Klein bottle
The pinched torus immersion of the Klein bottle