V2EX hypercube

Hypercube

释义 Definition

Hypercube(超立方体):在数学中,指四维及以上维度的“立方体”的推广;也常指n 维立方体(n-cube)。最常见的例子是四维超立方体,也叫 tesseract(正八胞体)

发音 Pronunciation (IPA)

/haprkjub/

例句 Examples

A hypercube is a cube extended into higher dimensions.
超立方体是将立方体推广到更高维度的几何体。

In data analysis, people sometimes visualize high-dimensional relationships by projecting a hypercube onto two or three dimensions.
在数据分析中,人们有时会把超立方体投影到二维或三维,以可视化高维关系。

词源 Etymology

由 **hyper-**(“超越、更高层级”)+ cube(“立方体”)组成。该词反映了数学里“把熟悉的几何形体推广到更高维度”的命名习惯:从正方形(2D)到立方体(3D),再到超立方体(4D 及以上)。

相关词 Related Words

文学作品中的用例 Literary Works

  • Robert A. Heinlein《And He Built a Crooked House》:故事围绕一种类似“折叠的四维房屋”(常被解释为与超立方体/四维几何相关的构想)展开,借科幻叙事引出高维空间的想象。
  • Edwin A. Abbott《Flatland》:虽不直接以“hypercube”为核心词,但通过维度隐喻与“高维来客”的设定,常被用于理解与讨论超立方体等高维概念的文化背景。
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