Julia Sets that are Full of Holes

Published in Mathematical Intellegencer, 2008

A Julia set is a type of fractal. We will explore the idea of a Julia set which is full of holes, or porous. The idea of porosity will lead to ways to understand the complexity of the sets in terms of whether they take up space, and in terms of dimension.

Download paper here

Recommended citation: “Julia Sets that are Full of Holes”, K.A. Roth, The Mathematical Intelligencer 30 (4), 51-56, 2008.