Klein bottle

This square is a fundamental polygon of the Klein bottle.

Nonetheless, there is a way to visualize the Klein bottle as being contained in four dimensions.

This is an immersion of the Klein bottle in three dimensions.

The common physical model of a Klein bottle is a similar construction.

Thus, the Klein bottle is a closed surface with no distinction between inside and outside.

Building a Klein bottle which is not self-intersecting requires four or more dimensions of space.

The Klein bottle is an example of such a knotted surface .

Have you ever tried to figure out a Klein bottle?

The case of two copies corresponds to the famous Klein bottle.

The Klein bottle has a single continuous surface that passes through the bulb to connect inside with outside.