Why is it said that all the water on earth cannot fill a Klein bottle? What is a Klein bottle? Source: Network four-dimensional space and Klein bottle. One dimension is a linear motion state, two dimensions are a ring-shaped plane state, three dimensions are a spherical three-dim

Why is it said that all the water on earth cannot fill Klein bottle ? What is a Klein bottle?

Picture source: Internet

Four-dimensional space and Klein bottle

One dimension is a linear motion state, two dimensions is a ring-shaped plane state, three dimensions is a spherical three-dimensional state, front and rear, left and right, up and down, and the fourth dimension is the eternal state of energy. The four-dimensional space is the same as the three-dimensional space but different. The fourth dimension of the four-dimensional space refers to the spatial dimension with the same properties as x, y, and z. In fact, from a specific point of view, the four-dimensional space adds the important unit of time to the three-dimensional space, which forms a four-dimensional space. The Klein bottle is the product of the four-dimensional space.

Picture source: Internet

The process of forming a Klein bottle

After twisting a piece of paper 180°, the two ends are then glued together to form a circle of paper tape to form a Möbius strip . Two Möbius strips are formed. Sew the Usband along the only edge to get a Klein bottle. The Klein bottle looks like a closed shape, but in fact it is not a container at all, and there is no distinction between inside and outside. Its neck extends upward through the fourth dimension and is finally connected to the bottom of the bottle.

Picture source: Internet

The reason why it can hold all the water on the earth

The Klein bottle has no front and back, its beginning is also the end, time will never end, space will always cycle, there is no boundary, so it will never be filled. In reality, humans cannot create a real Klein bottle at all. It only exists in four-dimensional space. What we see now is only its conceptual model in three-dimensional space.