Counting the number of cubes that compose the hypercube we find that there are eight.
The hypercube or tesseract is described by moving the generating cube in the direction in which the fourth dimension extends.
hypercube 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. See also tesseract. |