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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Pi and the Mandelbrot Set (Again), USENET article 〈1992Feb26.222630.366122@yuma.acns.colostate.edu
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