What is the area of the Mandelbrot set?
A6f: Ewing and Schober computed an area estimate using 240,000 terms of the Laurent series. The result is 1.7274… However, the Laurent series converges very slowly, so this is a poor estimate. A project to measure the area via counting pixels on a very dense grid shows an area around 1.5066. (Contact rpm%mrob.uucp@spdcc.com for more information.) Hill and Fisher used distance estimation techniques to rigorously bound the area and found the area is between 1.503 and 1.5701. Jay Hill’s latest results using Root Solving and Component Series Evaluation shows the area is at least 1.506302 and less than 1.5613027. See Fractal Horizons edited by Cliff Pickover and Hill’s home page for details about his work.
