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Blog post: ajb: More fun with Julia sets

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I have been rather creative and explored an interesting Julia set. I will say that I picked it for the way it looks, rather than anything scientific. I make no claims that this Julia set is of any real mathematical interest, nor that it is related to any interesting dynamical system or anything like that.

 

 

 

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Here is part of the Julia set for $latex F_{c}=(1 + sin(z) ) log(|z|)$ and with $latex c = - 0.5 i + 2 $. I have included grid lines to help us navigate.

 

 

 

So, let us have a closer look.

 

 

 

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The self-similarity in this Julia set is quite striking. the generic features here are also quite generic; the branching off and swirls.

 

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