Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Internet Mathematics Library

Descartes' Formula (Geometry and the Imagination)

_____________________________________
Library Home || Full Table of Contents || Suggest a Link || Library Help
_____________________________________

Visit this site: http://geom.math.uiuc.edu/docs/education/institute91/handouts/node19.html

Author:Conway, Doyle, Gilman, Thurston; The Geometry Center
Description: The angle defect at a vertex of a polygon was defined to be the amount by which the sum of the angles at the corners of the faces at that vertex falls short of and the total angle defect of the polyhedron was defined to be what one got when one added up the angle defects at all the vertices of the polyhedron. We call the total defect T. Descartes discovered that there is a connection between the total defect, T, and the Euler Number E-V-F. Two proofs are given, to be discussed.

Levels: Middle School (6-8), High School (9-12)
Languages: English
Resource Types: Lesson Plans and Activities
Math Topics: Polyhedra, Triangles and Other Polygons

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.The Math Forum is a research and educational enterprise of the Drexel University School of Education.