Up: The Figure-8 Immersion of the Torus

Equations for the Figure-8 Torus

The Figure-8 torus is parameterized as follows:

f(u, v) = ( cos(u)*(a + sin(v)*cos(u) - sin(2*v)*sin(u)/2),
sin(u)*(a + sin(v)*cos(u) - sin(2*v)*sin(u)/2),
sin(u)*sin(v) + cos(u)*sin(2*v)/2 )
where
-Pi <= u <= Pi, -Pi <= v <= Pi

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


Up: The Figure-8 Immersion of the Torus
The Geometry Center Home Page
Topological Zoo Welcome Page

Comments to: webmaster@geom.umn.edu
Created: Aug 16 1995 ---- Last modified: Wed Aug 16 20:17:48 1995
Copyright © 1995 by The Geometry Center, all rights reserved