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

Function Art 3D - Pawn
Rolling Triangle
z`]]
Untitled
Floch, fractal, iteration, custom tool.

Discover Resources

Integration of the Reciprocal Function.
Chrono
Midpoint Definition Question (I)
vawt v0.1a
Text & Tests 6 Chp7.8 Q12
Investigating similar figures

Discover Topics

Variance
Integral Calculus
Derivative
Pie Chart or Circle Chart
Limits