hyperbolic lemniscate | lemniscate of Bernoulli | lemniscus | pendant ribbon curve

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

a^2 x^2 - a^2 y^2 - x^4 - 2 x^2 y^2 - y^4 = 0

r(θ) = a sqrt(cos(2 θ))

algebraic | cissoid | closed | parametric | quartic

A = a^2

s = (a Γ(1/4)^2)/sqrt(2 π)

d = 4