Rolling curve / 16
Petal + epicycloid
Geometry
An epicycloid of radius R1 + r1 is added to a petal term R·cos((a/b)·t) riding on the unit circle.
x(t) = (R1 + r1)·cos t − r1·cos((R1 + r1)/r1 · t) + R·cos((a/b)·t)·cos t
y(t) = (R1 + r1)·sin t − r1·sin((R1 + r1)/r1 · t) + R·cos((a/b)·t)·sin t
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