cycloidum anomalarum

x(t) = a cos(t) (2 cos(2 t) + 1) y(t) = a sin(t) (2 cos(2 t) + 1)

a^2 (y^2 - 3 x^2)^2 = (x^2 + y^2)^3

r(θ) = a (2 cos(2 θ) + 1)

algebraic | closed | parametric | polar | sextic | trisectrix

A = 3 π a^2

s = a (-3 K(13/16) + 16 E(13/16) + 3 Π(1/4|13/16))

d = 6