Up: Figure-8 Model of the Klein Bottle

Equations for the Figure-8 Klein Bottle

The Figure-8 Klein Bottle is parameterized as follows:

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

sin(u)*(a + sin(v)*cos(u/2) - sin(2*v)*sin(u/2)/2),

sin(u/2)*sin(v) + cos(u/2)*sin(2*v)/2 )

-Pi <= u <= Pi, -Pi <= v <= Pi

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

Up: Figure-8 Model of the Klein Bottle

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