# Anne Burns

I began my studies as an art major and later became fascinated with mathematics. Computer programming allowed me to combine my two passions and to explore the visual beauty of mathematics.

Vectors whose length and direction are determined by a complex analytic function and whose color is a function of the slope of the vector are plotted along a path y = f(x) and then reflected and rotated.

This flow diagram was Inspired by the vector field of the complex-valued function f(z)= z^11 along three circles centered at the origin .

Vectors whose length and direction are determined by a complex analytic function and whose color is a function of the slope of the vector are plotted along a path y = f(x) and then reflected and rotated.