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 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) = (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