100th post!

A Wolfram Demonstration titled Combinations of Sines in the Complex Plane by Stephen Wolfram. He writes "Combinations of two sine functions must always have their zeros on the real line. Combinations of three need not. The height here is the absolute value of the sum of sine functions; the hue is the phase."

Using different values of a and b, the equations
x(t) = sin(t/2) - a*sin(bt)cos(t)
y(t) = cos(t/2) - a*sin(bt)sin(t)
produce images such as the ones above.

By Herbert Franke