Three Klein bottles set inside each other sharing a common loop, when cut this gives a pair of single -twist Mobius strips and is related to the five-layered spheres.

A single surface model made by Alan Bennett in Bedford, 1995. It consists of three Klein bottles set inside each other sharing a common loop. When cut this gives a pair of single-twist Mobius strips. A Klein bottle has no edges, no outside or inside and cannot be properly constructed in three dimensions.