2001/12/01 by Aaron Klebanoff · 1 citation
Computer Science · Mathematics · #Computability, Logic, AI Algorithms #Mathematical Dynamics and Fractals #Artificial Intelligence in Games
paper · doi:10.1142/s0218348x01000828
openalex publication_date 2001/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
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.