π in the Mandelbrot set

被引：1

作者：

Klebanoff, A

机构：

[1] Odenton, MD 21113

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2001年 / 9卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1142/S0218348X01000828

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Mandelbrot set is arguably one of the most beautiful sets in mathematics. In 1991, Dave Boll discovered a surprising occurrence of the number pi 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.

引用

页码：393 / 402

页数：10