Specialising and Exhibiting

Kleinsche Flasche

In topology, a branch of mathematics, the Klein bottle is an example of a non-orientable surface; it is a two-dimensional manifold against which a system for determining a normal vector cannot be consistently defined. Informally, it is a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down. Other related non-orientable objects include the Möbius strip and the real projective plane. While a Möbius strip is a surface with boundary, a Klein bottle has no boundary. For comparison, a sphere is an orientable surface with no boundary.

The concept of a Klein bottle was first described in 1882 by the German mathematician Felix Klein.

“If you glue
The edges of two,
You’ll get a weird bottle like mine.”— Felix Klein

If you are lost in a Klein surface and your friend is pouring water into the Klein bottle, then eventually the only way to survive is to keep swimming because the Klein bottle is a non-oriental surface.

I found myself a non-stop perfectionist when working on art projects so I always found work would never end in a Klein bottle. I stated:“ It is the same definition as turbo. if you are always spinning in the center, you could always relax because the radius is always the shortest. Otherwise, you would just be sucked into the bottle and never stop manually.” Nevertheless, in the dimension that humans can perceive, the Klein bottle will never appear, so there is always a slot we could book for relaxation.

I considered my piece as “Kleinsche Flasche” and it matched the multi-channel format well because audio tracks can be designed to spin very fast in the orbit. Additionally, the transmission of information is infinitely fast and infinitely large and would be even more brainsick in society. The appearance of Kleinsche Flasche which seemed to stab itself demonstrated a sense of hopelessness which also reflected the major feeling she would like to bring to the piece. The sound of the glass also matches it quite well.

Three Klein bottles set inside each other to produce when cut three pairs of single-twist Mobius strips.

This is one of a series of glass Klein bottles made by Alan Bennett in 1995 for the Science Museum, London. It consists of three Klein bottles, one inside another. A Klein bottle is a surface which has no edges, no outside or inside and cannot properly be constructed in three dimensions. In the series Alan Bennett made Klein bottles analogous to Mobius strips with odd numbers of twists greater than one.