hypercube

American  

[hahy-per-kyoob] / ˈhaɪ pərˌkyub /

noun

hypercubes plural

1. Mathematics. a geometric figure of four or more dimensions that is analogous to a typical three-dimensional cube, such as the four-dimensional tesseract.

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hypercube British  

/ ˈhaɪpəˌkjuːb /

noun

1. maths a figure in a space of four or more dimensions having all its sides equal and all its angles right angles

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hypercube Scientific  

/ hī′pər-kyo̅o̅b′ /

1. An object resembling a three dimensional cube but having an arbitrary number of dimensions (typically more than three, although cubes and squares can be considered hypercubes in three and two dimensions). Each corner or node of a hypercube is equidistant from every other. The number of corners in a hypercube is equal to 2 ⁿ, where n is the number of dimensions. Diagrams and models of hypercubes of four or more dimensions are not real hypercubes any more than a diagram of a cube is an actual cube, but they do depict the manner in which the corner points are connected.

2. See also tesseract

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Other Word Forms

Derived Forms

• hypercubic
  adjective
• hypercubical
  adjective

Inflected Forms

noun

• hypercubes
  plural

Example Sentences

There are also giraffe sculptures, a defunct sensory deprivation tank, a four-dimensional hypercube called a tesseract and a fake particle accelerator made of gold-painted junk.

From The Guardian • Apr. 23, 2018

In such a case, we would have generated a four-dimensional hypercube, also called a tesseract.

From "Cosmos" by Carl Sagan

"The cube of the cube, or hypercube," he explained.

From Sight Unseen by Rinehart, Mary Roberts