Powers of a complex number

Autor: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
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z`]]
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