Z-Squared Necklace

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...

Basic Description

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.

Teaching Materials

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About the Creator of this Image

Tom Banchoff is a professor at Brown University.

Related Links

Other Materials By Tom Banchoff

• http://math.brown.edu/~banchoff/art/PAC-9603/welcome.html

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