Rolling curve / 07
Four-fold hypotrochoid
Geometry
A circle of radius r rolls inside a fixed circle of radius R, and the rolling term is multiplied by sin(4·t).
x(t) = (R − r)·cos t · sin(4·t) + d·cos((R − r)/r · t)
y(t) = (R − r)·sin t · sin(4·t) − d·sin((R − r)/r · t)
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