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Online Visualization and Web Services

Cycloid Curves

A cycloid is the trace of a point on a disk when this disk rolls along a line.

The shape of the cycloid depends on two parameters, the radius r of the circle and the distance d of the point generating the cycloid to the center of rolling disk. The mathematical expression of a cycloid is

Cycloid[r, d](t) = (r t + d sin(t), r - d cos(t)).