Puzzles

Som fun designs and 3D approximations of a 4D Universe

Klien Bottle

Klien Bottle model Klien Bottle flasks
Klien Bottle model Klien Bottle flasks


Developed by Felix Klein in 1882 by combining 2 *Möbius Loops together forming a single sided bottle with no boundary. It is a representation of an object that is inside its own outside - thus containing itself! A true Klein Bottle has to pass through itself without a hole - requiring a 4th dimentional Nexus to pass through.

*Möbius Loops

Developed by the German Astronomer August Möbius (1790-1868), is a single sided strip of material with a 1/2 twist before connecting the ends.
"[The] ambiguous ring illusion [above] makes use of the inherent ambiguity of circles and ellipses seen in perspective. Cover the left or right third of the picture and everything seems conflict-free."
Ambiguous Ring. © 2002, DES