Grandi rose | multifolium | rhodonea curve

x(t) = a cos(t) sin(n t) y(t) = a sin(t) sin(n t)

r(θ) = a sin(θ n)

algebraic | closed | folium | parametric | polar

A = piecewise | (π a^2)/2 | n mod 2 = 0 (π a^2)/4 | n mod 2 = 1 | (otherwise)

s = 2 sqrt(n^2 + 1) denom(n) E(n^2/(n^2 + 1)) (2 - (denom(n)^2 n) mod 2)