Homework 2 - Time-Varying Parametric Surface

October 24th, 2002

I chose to evaluate Catalan's Surface.

angle = 2.0*M_PI * frequency * (SimulationTime)  + phase;
x = sin(angle) * (-cosh(t)*sin(s)+s-M_PI) +
    cos(angle)*(-sinh(t)*cos(s)+t);
y = sin(angle) * (-cosh(t)*cos(s)) + cos(angle)*(sinh(t)*sin(s));
z = sin(angle) * (-sinh(t/2.0)*sin(s/2.0)*4.0) +
    cos(angle) * (-cosh(t/2.0)*cos(s/2.0)*4.0+4.0);

From Mathworld

Mine in Inventor

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hw02.tar.gz (105k)