Tiles 2

Tiles 2: Tessellation and Equipotential Curves
--- From the papers " Semiconjugacies between the Julia set of geometrically finite rational maps " and Thesis

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Tessellation for Blaschke products of the form z -> ((2+L)zz+(2-L))/((2-L)zz+(2+L)) with real L near 1

L<1 L=1 L>1

Equipotential curves in the Fatou sets

L<1 L=1 L>1

Tessellation for geometrically finite polynomials of the form z -> Lz(1+z)^3 with real L near 1

L<1 L=1 L>1

Equipotential curves in the Fatou sets

L>1 L=1 L<1