English: Newton map for the polynomial ${\displaystyle f:z\mapsto z^3-z-1}$ centred at inflection point 0, with unit circle and the graph of the real function plotted for reference. The critical points are ${\displaystyle \pm \frac{1}{\sqrt{3}},}$ the roots at the centres of the basins of attraction have approximate coordinates ${\displaystyle -0.66236\pm 0.56228i}$ and ${\displaystyle 1.32472}$ (plastic ratio ρ).
For the Newton map associated with ${\displaystyle {\rho }^2,}$ see: