Fractals Generated by Jacobi Theta Functions

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The definition of the Mandelbrot set is based on the mapping . This Demonstration uses a generalization of the mapping, , where is a Jacobi theta function, , and , (over the unit disk) and are complex. The escape radius is , the initial value is , and the function is computed at resolution .

Contributed by: Enrique Zeleny (September 2014)
Open content licensed under CC BY-NC-SA


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Reference

[1] Gaspaheangea, "Mandelbrot Set of ," Math Art (LiveJournal) (blog). (Sep 4, 2014). mathart.livejournal.com/48552.html.



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