Tesseract

The Hypercube in is called a tesseract. It has the Schläfli Symbol , and Vertices . The above figures show twovisualizations of the tesseract. The figure on the left is a projection of the tesseract in 3-space (Gardner1977), and the figure on the right is the Graph of the tesseract symmetricallyprojected into the Plane (Coxeter 1973). A tesseract has 16 Vertices, 32Edges, 24 Squares, and 8 Cubes.

References

Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, p. 123, 1973.

Gardner, M. ``Hypercubes.'' Ch. 4 in Mathematical Carnival: A New Round-Up of Tantalizers and Puzzles from Scientific American. New York: Vintage Books, 1977.

Geometry Center. ``The Tesseract (or Hypercube).'' http://www.geom.umn.edu/docs/outreach/4-cube/.

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