Five-fold hypotrochoid

A circle of radius r rolls inside a fixed circle of radius R, and the rolling term is multiplied by sin(5·t).

x(t) = (R − r)·cos t · sin(5·t) + d·cos((R − r)/r · t)
y(t) = (R − r)·sin t · sin(5·t) − d·sin((R − r)/r · t)