A formula relating the number of Vertices, Faces, and Edges of a Polyhedron (or Polygon). It was discovered independently by Euler and
Descartes, so it is also known as the Descartes-Euler Polyhedral Formula. The polyhedron need not be
Convex, but the Formula does not hold for Stellated Polyhedra.

(1) |

(2) | |

(3) | |

(4) | |

(5) | |

(6) |

**References**

Beyer, W. H. (Ed.) *CRC Standard Mathematical Tables, 28th ed.* Boca Raton, FL: CRC Press, p. 128, 1987.

Courant, R. and Robbins, H. *What is Mathematics?: An Elementary Approach to Ideas and Methods*. Oxford, England:
Oxford University Press, 1978.

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

© 1996-9

1999-05-25