SB3D (Tour/Necklace-Z2)

Related to the Tetraview series is this pair of "Necklace" views on the next wall. Once again 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. The first of these pictures appeared in rotated form as "Z-Squared Crescent" on the cover of the Notices of the American Mathematical Society, with a technical explanation inside. A black-and-white version of this same image was used on the postcard invitation to the show.

Surfaces Beyond the Third Dimension Last modified: 08 Oct 2000 08:12:41 Comments to: Thomas F. Banchoff (thomas_banchoff@brown.edu)

The Mathematics of the Necklaces Z-Squared Necklace