Last Updated :2025/11/20

Klein bottle

Noun
Japanese Meaning
数学におけるクラインの壺:円環の境界部分を同一視して構成された、非向き付け可能な閉多様体
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三次元空間で可視化すると、環状領域の境界成分を同一視して得られる閉じた非向き性曲面(クラインの壺)は、単一の面でありながら自己交差しているように見えます。

plural

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(mathematics) The closed manifold obtained by identifying the boundary components of the annulus so that the resultant surface is nonorientable.

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Klein bottle

When visualized in three-dimensional space, a Klein bottle appears to intersect itself even though it is a single nonorientable surface.

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When visualized in three-dimensional space, a Klein bottle appears to intersect itself even though it is a single nonorientable surface.

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