Colored Klein Bottle

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This visualization shows an immersion of a Klein bottle into , a closed nonorientable surface. It can be created by joining both pairs of opposing ends of a rectangle after giving one pair a half-twist. It can be embedded in four-dimensional space without self-intersection.

Contributed by: Igor C. Antonio (March 2011)
Based on a program by: Eric W. Weisstein
Open content licensed under CC BY-NC-SA


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