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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.

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