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
Immersed Klein bottles in the Science Museum in London
A hand-blown Klein bottle
The pinched torus immersion of the Klein bottle
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
Klein bottle
…to the surface (normal vector) that varies continuously over the whole shape. The Klein bottle is related to other non-orientable surfaces like the Möbius strip, which also has only one side but does have a boundary. In contrast, the Klein bottle is boundaryless, like a sphere or torus, though it cannot be…
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