TFBCON2003 (Art/SB3D)

Z-Squared Necklace The signature piece for Tom Banchoff's 1996 artshow, Surfaces Beyond the Third Dimension, this image shows five views of the graph of the complex squaring function, each from a different viewpoint in complex 2-space (or real 4-space). They are part of a sequence formed by rotating the graph in four dimensions (or equivalently, walking around the graph). The rotation is chosen so that, as a projection into a plane, the image has three-fold rotational symmetry (the boundary curves form epi- and hypocycloids of a circle). Movies and a more complete discussion of the mathematics behind this image are available at the virtual art exhibit. This surface is also the subject of Z-Squared Tetraview. Z-Squared Necklace in SB3D

TFBCON2003 Web Pages Created: 13 Oct 2003 Last modified: Oct 15, 2003 11:26:55 AM Comments to: dpvc@union.edu

Z-Cubed Necklace Tom Banchoff's Mathematical Artwork