11. The universal cover of both the torus and the Klein bottle is the plane "'R "'2. 12. If you cut the traditional Klein bottle lengthwise it deconstructs into two, oppositely chiral M�bius strips. 13. :I don't see how you could use a klein bottle as a horn or similar instrument. 14. "' Other 2D "'variants can also be performed with sphere, Klein bottle or real projective plane. 15. This relation holds, as Ringel and Youngs showed, for all surfaces except for the Klein bottle . 16. :A Klein bottle is a three-dimensional figure which requires an extra dimension to be comprehended fully. 17. :: A Klein bottle is a topological entity. 18. The traditional Klein bottle embedding is achiral. 19. Klein bottles are four-dimensional one-sided bodies which can only exist in three-dimensional space by intersecting with themselves.20. Now let's take this to a three dimensional universe on some kind of a generalized klein bottle .
