TFBCON2003 (Art/SB3D)

Math Horizon This design was used on the cover of the MAA publication, Math Horizons, for which it was named. It is a projection of a two-dimensional sphere in four-space that has a single point of transverse self-intersection (though the projection introduces additional intersection along a line segment). Here, the projection is seen from a viewpoint that highlights its symmetry. The point at the center of the circles is the point of intersection in four-space. The sphere is banded by circles of latitude, and alternate bands of the sphere have been removed. This image appeared as part of the art show Surfaces Beyond the Third Dimension. Math Horizons in SB3D

TFBCON2003 Web Pages Created: 13 Oct 2003 Last modified: Oct 15, 2003 10:49:28 AM Comments to: dpvc@union.edu

Slicing a Doughnut Tom Banchoff's Mathematical Artwork Exponential Tetraview