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klein bottle

/ˈklaɪn ˈbɒtəl/

Traduction: Surface fermée non orientable en topologie, sans intérieur ni extérieur distincts, obtenue en joignant les bords d'un tube de manière à ce qu'il se traverse lui-même dans l'espace tridimensionnel.

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/ˈklaɪn ˈbɒtəl/C1formalscientific
  • frSurface fermée non orientable en topologie, sans intérieur ni extérieur distincts, obtenue en joignant les bords d'un tube de manière à ce qu'il se traverse lui-même dans l'espace tridimensionnel.

A non-orientable, one-sided surface in topology that has no distinct inside or outside, formed by joining the edges of a tube in a specific way that passes through itself in three-dimensional space.

  1. C2formal

    A closed, non-orientable surface in topology that has no inside or outside; it is a one-sided surface that cannot be embedded in three-dimensional Euclidean space without self-intersection.

    frBouteille de Klein

    • The Klein bottle is a classic example of a non-orientable surface in mathematics.
    • Unlike a Möbius strip, a Klein bottle has no boundary.
    • Topologists study the properties of the Klein bottle to understand higher-dimensional spaces.