Spirographs. Write a program that takes three double command-line arguments R, r, and a and draws the resulting spirograph. A spirograph (technically, an epicycloid) is a curve formed by rolling a circle of radius r around a larger fixed circle of radius R. If the pen offset from the center of the rolling circle is (r + a), then the equation of the resulting curve at time t is given by
x(t) = (R + r) cos (t) − (r + a) cos ((R + r)t/r)
y(t) = (R + r) sin (t) − (r + a) sin ((R + r)t/r)
Such curves were popularized by a best-selling toy that contains discs with gear teeth on the edges and small holes that you could put a pen in to trace spirographs.
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