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

z`]]
bewijs stelling van Pythagoras
Vector Valued Functions
Constructing the Angle Bisector + Practice
Constructing the Copy of an Angle + Angles Activities

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ZoomInFix
Area between curves rotation around y-axis
Translations
Centroid
Copie de Monte Carlo simulation of throwing darts to estimate pi

Discover Topics

Inequalities
Integers
General Quadrilateral
Conic Sections
Conditional Probability