Use turbo mode A beautiful attractor. Much less creepy than the gingerbreadman.
https://en.wikipedia.org/wiki/Tinkerbell_map x(n+1) = x^2(n)-y^2(n)+ax(n)+by(n) y(n+1) = 2x(n)y(n)+cx(n)+dy(n) a = 0.9, b = -0.6013, c = 2, d = 0.27