Pronunciation: /haɪˈpɜr kyub/ Explain

A square, a cube and a representation of a hypercube.
Figure 1: A square, a cube and a hypercube.

A square is a two dimensional geometric object with congruent sides for boundaries that meet at right angles. A cube is a three dimensional object with six congruent faces (boundaries) made of squares that meet at right angles. If a square is extended to three dimensions, a cube is obtained. When a cube is extended to four dimensions, a hypercube is obtained.

A hypercube is a four dimensional object with six congruent, perpendicular cubes for boundaries. Figure 1 shows an orange square. That orange square is then made part of a cube. The other faces of the cube are green. The green and orange cube is then used to make a hypercube.

Cite this article as:

McAdams, David E. Hypercube. 7/18/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/h/hypercube.html.

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Revision History

7/16/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
5/5/2010: Initial verison. (McAdams, David E.)

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