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klein bottle

/ˈklaɪn ˈbɒtəl/

翻译: 拓扑学中的一种不可定向的单侧曲面,没有明确的内外之分,可通过将管状面的边缘以特殊方式连接并在三维空间中穿过自身而形成。

1 个条目

phrase

/ˈklaɪn ˈbɒtəl/C1formalscientific
  • zh拓扑学中的一种不可定向的单侧曲面,没有明确的内外之分,可通过将管状面的边缘以特殊方式连接并在三维空间中穿过自身而形成。

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.

    zh克莱因瓶

    • 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.