Mating, paper folding, and an endomorphism of PC^2

Volodymyr Nekrashevych

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arXiv · 1603.00079

Mating, paper folding, and an endomorphism of PC^2

Volodymyr Nekrashevych

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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 $PC^2$ to itself. We show a relation of this rational function with an uncountable family of "paper folding" plane filling curves.

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BibTeX RIS

Volodymyr Nekrashevych. 2016-02-29. Mating, paper folding, and an endomorphism of PC^2. https://arxiv.org/abs/1603.00079

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