If an ant climbs up the side of a Klein bottle, it’ll walk straight into the opening at the top. Inside, the surface twists and loops until the ant comes back out without ever crossing an edge. Now, it’s upside down on what looks like the inside. It keeps walking, following the curve until it’s right back where it started. That’s because this bottle has no real inside or outside. It’s made of just one continuous surface that twists through itself. So, the ant moving along it never switches sides because there are no sides to begin with.

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  1. For those who find this hard to visualize, you should know that a Klein bottle Is an expansion of a Mobius strip. A Mobius strip is a loop with only one side. Imagine a normal trips of paper that has the ends taped together. It forms a ring with two sides: the inside and the outside. You cannot cross between them without going over the edge. However, if you give the paper a twist before taping it the inside will be connected to the outside and the outside will be connected to the inside. This means that there is technically only one side to the strip even though a strip of paper has two sides. Just like that, in a Klein bottle, there is not clear division between the inside of the bottle and the outside.

  2. Recordemos que esta explicación pertenece a la 4ta dimensión, en nuestra 3ra dimensión es imposible ver la figura como debería, en cambio esta no es más que una representación 3d gráfica y una explicación del objeto en un espacio realmente 4D.

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