﻿ Hypercube: A cube generalized to 4 dimensions.

# Hypercube

Pronunciation: /haɪˈpɜr kyub/ ?

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

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A square is a two dimensional geometric object with congruent sides that meet at right angles. A cube is a three dimensional object with congruent faces 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 eight 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.

Figure 2 is a four dimensional hypercube projected onto a two dimensional surface. The two dimensional surface is the computer screen. Each of the check boxes will highlight one of the cubes in a different color.

Hypercube. 2011-02-14. All Math Words Encyclopedia. Life is a Story Problem.org. http://www.allmathwords.org/en/h/hypercube.html.