# π IN THE MANDELBROT SET

@article{Klebanoff2001IT, title={$\pi$ IN THE MANDELBROT SET}, author={A. Klebanoff}, journal={Fractals}, year={2001}, volume={09}, pages={393-402} }

The Mandelbrot set is arguably one of the most beautiful sets in mathematics. In 1991, Dave Boll discovered a surprising occurrence of the number π while exploring a seemingly unrelated property of the Mandelbrot set.1 Boll's finding is easy to describe and understand, and yet it is not widely known — possibly because the result has not been rigorously shown. The purpose of this paper is to present and prove Boll's result.

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