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

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Contents of this page are ©1996 Nathaniel Hellerstein. Dr. Hellerstein can be reached through:
Meru Foundation, POB 503, Sharon, MA 02067 USA.
Email inquiries to: meru1@well.com