Klein bottles
A Klein bottle is a unique mathematical object that has no distinct inside or outside. It is a non-orientable surface, meaning that if you travel along its surface, you can return to your starting point flipped upside down. This property makes it different from ordinary shapes like a sphere or a torus.
Klein bottles cannot be fully realized in three-dimensional space without self-intersections. To visualize it, imagine a bottle where the neck loops back and connects to the base, creating a continuous surface. This fascinating structure is often studied in the fields of topology and geometry.