Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Internet Mathematics Library

The Euler Number (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/node29.html

Author:Conway, Doyle, Gilman, Thurston; The Geometry Center
Description: If we have a polyhedron, we can compute its Euler number, x=V-E+F. In fact, we computed Euler numbers ad delectam. Why did we do this? One reason is that they are is easy to compute. But that is not obviously a compelling reason for doing anything in mathematics. The real reason is that it is an invariant of the surface (it does not depend upon what map one puts on the surface) and because it is connected to a whole array of other properties a surface might have that one might notice while trying to describe it. One easy example of this is Descartes' formula...

Levels: High School (9-12), College
Languages: English
Resource Types: Lesson Plans and Activities
Math Topics: e, Differential Geometry

[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.