Mating, paper folding, and an endomorphism of PC2
Abstract
We are studying topological properties of the Julia set of the map F(z, p)=((2z/(p+1)-1)2, ((p-1)/(p+1))2) of the complex projective plane PC2 to itself. We show a relation of this rational function with an uncountable family of "paper folding" plane filling curves.
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