DPVC (CV/Art)

Twin Peaks For the second printing of Banchoff's book, Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions, in 1994, we had the opportunity to replace some of the computer-generated artwork with versions produced by more modern software. This sequence of slices of the graph of a function replaced ones that had no shading; there the three-dimensional effect is much enhanced. The slices show how the level set changes from two curves in the slices in the upper images to a single curve in the lower right. The change occurs at a "critical point" when the level set forms a figure-8, shown here at the lower left. These images were produced using software that I had written as a graduate student at Brown University. This was an early predecessor of the StageTools package that I began developing while at the Geometry Center and continue to improve here at Union.

Davide P. Cervone's web pages Created: 08 Sep 2001 Last modified: Jan 6, 2002 10:44:05 PM Comments to: dpvc@union.edu

AHSME 50th Anniversary The Geometry Center Experience Mathematical Artwork Artwork from "Beyond the Third Dimension"