Newton maps

The file A determination of the NET maps which are Newton maps shows that there are three Thurston equivalence classes of NET maps that are Newton maps.

f(z) = (6z3 +1)/(9z2-2)

The Julia set for this cubic is shown in the figure below, which was created from Mathematica.


A derivation of a NET map presentation for the Newton map f(z) = (6z3 +1)/(9z2-2)

Input and output files

f(z) = (2z3 +1)/(3z2)

The Julia set for this cubis is shown in the figure below, which was created from Mathematica.


A derivation of a NET map presentation for the Newton map f(z) = (2z3 +1)/(3z2)

Input and output files

f(z) = (3z4 - 2z2 + 3)/(4(z3-z))

The Julia set for this quartic is shown in the figure below, which was created from Mathematica.


A derivation of a NET map presentation for the Newton map f(z) = (3z4 - 2z2 + 3)/(4(z3-z))

Input and output files