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.
