About: Infinite Möbius band   Sponge Permalink

An Entity of Type : dbkwik:resource/NFb8hEdf4aO8B5_L5xml2w==, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

The infinite Möbius band is an infinitely large two-dimensional shape. It is constructed in a similar way to the infinite tube; an infinitely long strip of the plane is took and rolled up. However, when the infinite Möbius band is rolled up, a single twist is added, as when contructing an ordinary Möbius band. It is topologically equivalent to the open Möbius band, because both are similar to an ordinary Möbius band except without any points on the edges.

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rdfs:label
  • Infinite Möbius band
rdfs:comment
  • The infinite Möbius band is an infinitely large two-dimensional shape. It is constructed in a similar way to the infinite tube; an infinitely long strip of the plane is took and rolled up. However, when the infinite Möbius band is rolled up, a single twist is added, as when contructing an ordinary Möbius band. It is topologically equivalent to the open Möbius band, because both are similar to an ordinary Möbius band except without any points on the edges.
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  • 2(xsd:integer)
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  • 1(xsd:integer)
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abstract
  • The infinite Möbius band is an infinitely large two-dimensional shape. It is constructed in a similar way to the infinite tube; an infinitely long strip of the plane is took and rolled up. However, when the infinite Möbius band is rolled up, a single twist is added, as when contructing an ordinary Möbius band. Another way to construct it is to take an ordinary Möbius band, and keep making it wider and wider. In the limit, when the Möbius band is infinitely wide. This gives some insight into what it is like on the surface: moving in one direction will loop you around to the other side, and then return you to your original point, as in an ordinary Möbius band, and moving in another direction is like moving in a plane. It is topologically equivalent to the open Möbius band, because both are similar to an ordinary Möbius band except without any points on the edges.
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