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

Constructing the Midpoint and the Perpendicular Bisector of a Segment
Constructing an Inscribed Equilateral Triangle + Activities
以百分數比較兩個數值
Cycloid from Formula
အခြေခံ data အခေါ်အဝေါ်များ

Discover Resources

Problem 2.2E
การลบจำนวนเต็ม
รูปคลี่สามมิติ
Tool Homothety&Rotation

Discover Topics

Logarithmic Functions
Dilation
Indefinite Integral
Linear Programming or Linear Optimization
Subtraction