Powers of a complex number

Author:Bill Zahner

This sketch shows complex number z in blue, as well as z^2, z^3, ... , z^50. Try moving z slowly and notice what happens. Why is this happening? Can you make any pretty designs with this sketch?

New Resources

Bessel Function
A Happy Polar Leaf
Vectors and Components - Trig
seo tool
Ogee Arch - Construction

Discover Resources

Cobweb and phi
Student 1
Triangle Centers
Isaiah Boylston
Geometry Project, Jack Coil

Discover Topics

Combinatorics
Vectors
Function Graph
Vectors 2D (Two-Dimensional)
Conditional Probability