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

Fourier Lissajous (Mechanical)
Slope Between 2 Points (Phase 2)
Angle Addition: Warm Up Exercises
apec
גיליון אלקטרוני להעלאת נתוני בעיה ויצירת גרף בהתאם

Discover Resources

Rotating Polygons
Arc Length
สามเหลี่ยมปีธากอรัส
Inverse Trigonometric Functions

Discover Topics

Random Experiments
Parabola
Exponent
Tree Diagrams
Reflection