Up: The Standard Torus

Equations for the Standard Torus

The standard torus is paramterized as a surface of revolution: a circle is revolved around an axis. The general equations for such a torus are

f(u, v) = [ (a + b*cos(v))*cos(u), (a + b*cos(v))*sin(u),
c*sin(v) ]
The torus shown here was created with
a = 2, b = 1, c = 1

source: Alfred Gray, Modern Differential Geometry of Curves and Surfaces.


Up: The Standard Torus
The Geometry Center Home Page
Topological Zoo Welcome Page

Comments to: webmaster@geom.umn.edu
Created: Jul 6 1995 ---- Last modified: Wed Aug 16 22:21:45 1995
Copyright © 1995 by The Geometry Center, all rights reserved