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 , where x = degrees in radians but, 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= a0 + a1sin(x) + a2sin(x)2 + a3sin(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.
Walter Poelzing - Math Teacher