Homework 24

Homework 24

Kayla Holt 02 Dec 2010 16:14

For a number to be considered part of the Mandelbrot set, do they have to "get stuck"? I seem to have found numbers that look like they will never reach 1. Does that count?

Re: Homework 24

Dana Ernst 02 Dec 2010 16:20

If a number gets stuck in a loop, then it is in the Mandelbrot set. These loops could be huge and take 1000s of iterations to repeat. However, not every point in the Mandelbrot set is necessarily stuck in a loop. What could happen is that a point just marches around aimlessly, but doesn't march off to "infinity." Try to find numbers that get stuck in a small loop as these are much easier to deal with.