Figure8 Klein BottleThe Klein bottle can be immersed in threespace in two distinct ways. One is the standard "tubethroughatube" immersion shown in Klein Bottle, which has a reflective symmetry. Another immersion is formed by a figure8 curve that moves around a circle while spinning by 180 degrees. This version has an axis of twofold rotational symmetry (from lower left to upper right in this image). Here, the surface is banded so that the figure8 curves are more easily seen. This image appeared in Beyond the Third Dimension. 

