## Tesseract

The Hypercube in is called a tesseract. It has the Schläfli Symbol , and Vertices . The above figures show two visualizations of the tesseract. The figure on the left is a projection of the tesseract in 3-space (Gardner 1977), and the figure on the right is the Graph of the tesseract symmetrically projected into the Plane (Coxeter 1973). A tesseract has 16 Vertices, 32 Edges, 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/.

© 1996-9 Eric W. Weisstein
1999-05-26