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

apec
Model sferyczny - dwunastościan-dwudziestościan
Viviani's Curve
Model sferyczny - sześcian-ośmiościan
Cartesian vs Polar

Discover Resources

tests
numbers
Temp
ice cream

Discover Topics

Differential Equation
Square
Functions
Pyramid
Geometric Transformations