The Klein bottle is a special mathematical surface, a so-called non-orientable surface. Get a 3D model of this special surface in blue or green.
This 8 cm large model of the Klein bottle is as light as a straw, but robust, and shows off the exceptional features of this mathematical surface. The special lattice structure of the model allows unique insights into this remarkable surface.
The Klein bottle in 3 colors
This 3D-print is available in three intense colors:
Mathematics: What is “non-orientable”?
Since this surface is non-orientable there is no distinction between “outside” and “inside” points of the surface. Starting at any point on the Klein bottle you can reach every other point of this surface also the point opposite the starting point. Imagine a cube where it is not possible to start with a point inside the cube and get to any cube on the outside. The cube is orientable.
The particular feature leading to this property of the Klein bottle is its self-intersection. Take a look at the construction of a Klein bottle from a flat surface: