I am looking for a polar coordinate equation that would develop this leaf design.

I have come up with is r= 1 + sin(x) + sin(x)^{2}, wherex = degrees in radiansbut, it does not give the pointy tail. Too circular

(and has a heart shape bump, but that's okay because most leaves have that heart shape).

Anyone have any clue as to what infinite expansion I could use to get that bend to the point? i.e. r= a_{0}+ a_{1}sin(x) + a_{2}sin(x)^{2}+ a_{3}sin(x)^{3}+ ......that could be thrown my way? I only need to degree 4 or 5 in sin(x) as a loose approximation to get the flavor.

Thanks!

Walter Poelzing - Math Teacher