# One Sided Shapes

Did you know that there are shapes that only
have one side? It’s true! The shapes I am
talking about are the
**Möbius Strips & Klein
Bottles.**

The Möbius strip is made by getting a strip, giving it a 180 degree turn on one of the sides then connecting it, it looks like this:

These shapes are defined by an ant, if it crosses an edge, it gets cut and a new one is placed on the edge it tried to get to, the number of edges is equal to the number of ants used.

The Möbius strip is special because it only
takes one ant
**to go on every spot on the shape!**

A Klein bottle is also special, because it too only uses one ant to traverse the whole shape, it looks like this:

This bottle is special because it (in 4d)
has no edges, and it is made from
**two conjoined Möbius Strips.**
The bottle was discovered by a mathematician
named Felix Klein, He said:

If you glue the edges of two

you will get a weird bottle like mine

-- Felix Klein

The circle is also a possible one sided
shape, the only problem is, that the circle
is made of a constant arc, and you
**cannot cut and unravel it into a flat
plane**
without making it hollow, and making it two
sided (cutting a klein bottle will make a
Möbius strip, cutting a mobius strip will
make a square or rectangle).

### Links

Wikipedia: Möbius Strip, Klein Bottle