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.