Something like 3 - sqrt(abs(cos(t))) + sin(t)/2 + sin(t)^3 ?
Hope I'm not missing the point
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= 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
only "leaf" design I could find ...
Cannabis Curve -- from Wolfram MathWorld