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*.

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