Hello, i would like to use the animate function to simulate the drawing of a "rose curve" ( en.wikipedia.org/wiki/Rose_curve ): the effect i would like to achieve is like this

c := 3;

animate(plot, [[cos(d*t), sin(d*t), t = 0 .. 2*Pi], -c .. c, -c .. c], d = 0 .. 1);

the fact is that here i'm using cartesian coordinates (though parametric, not cartesian equations), while the rose curve is given by the equation