TFBCON2003 (Art/B3D)

Figure-8 Klein Bottle The Klein bottle can be immersed in three-space in two distinct ways. One is the standard "tube-through-a-tube" immersion shown in Klein Bottle, which has a reflective symmetry. Another immersion is formed by a figure-8 curve that moves around a circle while spinning by 180 degrees. This version has an axis of two-fold rotational symmetry (from lower left to upper right in this image). Here, the surface is banded so that the figure-8 curves are more easily seen. This image appeared in Beyond the Third Dimension.

TFBCON2003 Web Pages Created: 13 Oct 2003 Last modified: Oct 13, 2003 6:05:26 PM Comments to: dpvc@union.edu

Colored Klein Bottle Tom Banchoff's Mathematical Artwork Hopf Links