shamrock.sagews

☘️ shamrock curves in Sage

more about polar_plot here

polar_plot(4*cos(3*x),(x, 0, 2*pi))

polar_plot(cos(1.65*x) + (1/4)*cos(5*x),
           (x, 0, 2*pi),
           color="green", thickness=5, axes = False)

polar_plot(sin(1.65*(pi/2 - x)) + (1/4)*sin(5*(pi/2 - x)),
           (x, -3*pi/2, pi/2),
           color="green", thickness=5, axes = False)