Equations For the Elliptical Torus

The parametric equations for the family of elliptic tori of revolution are given by

f(u, v) = [ (a + cos(v))*cos(u), (a + cos(v))*sin(u), sin(v) +
cos(v) ].

When |a| > 1, the torus does not intersect itself. The elliptical torus shown on the welcome page has a = 0.

Up: The Elliptical Torus

The Geometry Center Home Page

Topological Zoo Welcome Page