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?

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גיליון אלקטרוני להעלאת נתוני בעיה ויצירת גרף בהתאם
Untitled
GeoGebra around GeoGebra
Let's fly!
Constructing an Inscribed Equilateral Triangle + Activities

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כלל מקבילית
Implicit Problem Set
Sin Cos notes
Adding & Subtracting Fractions
Bride portrait 2

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Sequences and Series
Parametric Curves
Integers
Sine
Secant Line or Secant