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The Klein Bottle & Variants
One for Household Use)
©1994 Nathaniel Hellerstein, Ph.D.
 
Meru Foundation's work is based on the dimpled sphere (see Figure 1). This resenbles a torus, but slight changes can change its topology. If, for instance, the cross-section curves were to cross instead of touch at the center (see Figure 2 A,B) then we'd get Figure 3: the "Klein bottle."  
Note the double-cone at the Klein bottle's center:
Any Klein bottle in 3-dimensional space must pass through itself somewhere.
The Klein bottle comes in many topologically equivalent forms.
Möbius Bag: A Klein Bottle for Household Use
Contents of this page are ©1996 Nathaniel Hellerstein. Dr. Hellerstein can be reached through:
Meru Foundation, 524 San Anselmo Ave. #214, San Anselmo, CA 94960.
Email inquiries to: meru@meru.org
 
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