Tesseract

A tesseract, also known as a hypercube, is a four dimensional object created by attaching an edge at each vertex of a cube such that these edges are oriented orthogonally to the other edges of the cube. Tesseracts inhabit a space with four dimensions, which is not easy for many people without mathematical training to visualize.

In a cube, every edge is shared by 2 squares. In a tesseract, 3 squares meet at every edge. A tesseract has 16 vertices, 32 edges, 24 squares, and 8 cubes.

A tesseract is defined by the set of points: {(x, y, z, h): 0 < x < 1, 0 < y < 1, 0 < z < 1, 0 < h < 1}

See also [1] for an illustration.

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