V2EX torus

Torus

释义 Definition

torus(名词):环面;一种类似“甜甜圈/救生圈”的三维形状,由一个圆绕同一平面内、但不与其相交的轴旋转形成。(在数学、物理、工程中常见;在解剖学里也可指“隆起/圆枕状结构”,但此处以最常见义为主。)

发音 Pronunciation

/trs/

例句 Examples

A torus looks like a donut.
环面看起来像一个甜甜圈。

In topology, a torus can be described as a surface with a hole, and it has different properties from a sphere.
在拓扑学中,环面可以描述为带一个“洞”的曲面,它与球面具有不同的性质。

词源 Etymology

来自拉丁语 torus,原意与“隆起、圆枕、垫状物”相关,后来在数学与几何语境中被用来指代“环面”这种鼓起并闭合成环的形状。

相关词 Related Words

文学作品 Literary Works

  • Hermann Weyl SpaceTimeMatter(讨论几何与空间结构的经典著作中会出现环面等概念)
  • James R. Munkres Topology(拓扑学教材中常用“torus”作为基本例子,用于说明曲面与基本群等概念)
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