Z-Squared Necklace

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Z-Squared Necklace
Field: Geometry
Image Created By: Tom Banchoff
Website: SB3D: An Invitation to "Surfaces Beyond the Third Dimension"

Z-Squared Necklace

Each subject is the graph of a function of a complex variable, first the complex squaring operation and then the cubing function...


Contents

A More Mathematical Explanation

This image was created in collaboration with Davide Cervone (now at Union College) and student associates at Brown University.

Each subject is the graph of a function of a complex variable, first the complex squaring operation and then the cubing function. In each case there are five images, starting with a disc and ending with a doubly or triply covered disc, with intermediate steps possessing three- or fourfold symmetry.

For more information about this image, please visit Professor Banchoff's site.




About the Creator of this Image

Tom Banchoff is a professor at Brown University.


Related Links

Other Materials By Tom Banchoff



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