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

Writing and Graphing Proportional Relationships (k>0)
Mandelbrot 2
Midpoint Theorem (V2): Integer Solutions
Calculating Arc Length, Radius, and Central Angle
Mandelbrot

Discover Resources

Vertical Parabola Dynamic
Reflections1
Double Reflections Over Parallel Lines
project 1
Multiplication of fractions (non mixed)

Discover Topics

Rational Numbers
Congruence
Centroid or Barycenter
Trapezoid
Triangles