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

Trammel of Archimedes Art
The Geometry of the Coefficients of a Quadratic Function
רישום חופשי
အခြေခံ data အခေါ်အဝေါ်များ
Regular Star Polygons

Discover Resources

Random Dotplot
None.
Least squares (quadratic with squares and sum)
Translasi dengan vector
Constant angle

Discover Topics

Similarity Transformation or Similarity
Binomial Distribution
Cylinder
Quadratic Equations
Terms