# Julia Sets

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

A Julia Set
Fields: Dynamic Systems and Fractals
Image Created By: Anna
Website: [anna's computer ]

A Julia Set

This is a filled Julia Set created with a program described in this page.

# A More Mathematical Explanation

Many people know Julia Sets as beautiful and intricate pictures without understanding how those image [...]

Many people know Julia Sets as beautiful and intricate pictures without understanding how those images are generated. Mathematically, Julia Sets are sets of complex numbers, that are visualized by plotting in the complex plane. These sets come from iterated, complex functions. We'll define this thoroughly below.

Complex numbers, which will be denoted as z, are generally written in the form $z = x+iy$ where x and y are real numbers and $i=\sqrt{-1}$. The magnitude of a complex number