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FUN3D HELP
3.1 Parametric 3D Surfaces: Theory

UV Surface

Curves and surfaces can have explicit, implicit, and parametric representations. Parametric representations are the most common in computer graphics.

Klein surfaceExample:

Torus function

In Fun3D:

X(u,v) = (3*(1+sin(v)) + 2*(1-cos(v)/2)*cos(u))*cos(v)
Y(u,v) = -2*(1-cos(v)/2) * sin(u)
Z(u,v) = (4+2*(1-cos(v)/2)*cos(u))*sin(v)

See also:

9.3 Supported functions and syntax