Pronunciation: /haɪˈpɜr.kjub/ 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.


  1. McAdams, David E.. All Math Words Dictionary, hypercube. 2nd Classroom edition 20150108-4799968. pg 92. Life is a Story Problem LLC. January 8, 2015. Buy the book

Cite this article as:

McAdams, David E. Hypercube. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/h/hypercube.html.

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Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
7/16/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
5/5/2010: Initial version. (McAdams, David E.)

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