How do I convert spirographic values for r, R, and a to the code for a polar plot?

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I'm trying to create a polar plot using the radius of a large circle, a small circle, and the distance from the center of the small circle to the drawing point. I don't know how these values relate to what is used in a MATLAB code.

Accepted Answer

Star Strider
Star Strider on 6 Dec 2015
If you want to plot a hypotrochoid, you do not need a polar plot. This code uses a Cartesian plot:
A = 5.0;
B = 0.5;
d = 2.0;
t = linspace(0, 2*pi, 500);
x=(A-B)*cos(t)+d*cos((A-B)/(B)*t);
y=(A-B)*sin(t)-d*sin((A-B)/(B)*t);
figure(1)
plot(x, y, '-r')
grid
axis equal
to produce this figure:

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