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

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