Do you know the famous Mobius Ring? It is said that it can be an endless infinite loop, so what is the mystery of this seemingly simple ring? Can it really loop indefinitely?
German mathematicians Möbius and Johann Benedict Listing discovered this magical phenomenon in 1858, the name of the Möbius ring sounds abstract, but in fact, the Möbius ring is very simple to make. Take a slip of paper and connect its ends together. But instead of sticking them together directly, we need to twist one end 180 degrees and then connect it to the other end, which creates a Möbius ring.
If you draw a line along this band with a pencil, when you finish drawing and return to the starting point you just drew, you will find that both sides of the tape are painted with pencil marks. In the process of drawing the line, in fact, there is no deliberate flipping of this paper belt, but it can achieve the effect of drawing both sides on the line. This characteristic of it is also fully used in the production of life, such as the track in industrial production, this track is also made into the shape of a Mobius ring, so that the double side of the track can be fully utilized, not only one of them.
In addition to drawing a line in the middle of the Möbius ring and walking through the double sides of the paper tape without flipping it, it has some other special features. If we cut along the pencil line that we just drew in the middle of the Möbius ring, you will find that it will not be cut, and it will become a larger circle. The circumference of this circle is twice the original. And if we cut two circles from one-third of the Möbius ring, you will get two circles, one large and one small, stacked on top of each other, the large circle is twice the size of the original circle, and the small circle is as large as the original circle.
In addition, it can be cut from its 4th parallel, and the result will be two circles of the same size, stacked on top of each other, and both circles are twice the size of the original circle. Of course, we can also start from its 5th parallel, and the cut circle actually becomes three circles stacked on top of each other, two of which are larger circles, and the other is the same size as the original circle. When we cut it from its 6th parallel, we get three circles stacked on top of each other, each with twice the circumference of the original circle.
Of course, the Mobius ring does not only refer to this one, in addition to rotating one end 180 degrees to another segment, it can also be rotated 360 degrees, 540 degrees, etc. and then connected to the other end, so that the shape formed also belongs to the Möbius belt.
The structure of the Möbius ring is different from the ordinary ring, it seems to have no end, and it is also cyclical, so such a ring is also attached to it with different meanings, do you know what it is?
The Möbius ring is connected to another section on one side, and if you go all the way down one of these points, it is endless, or cyclical, so that people symbolize it as endless love, or love in the cycle of lifetimes. For example, some necklaces and rings are made into the shape of a Mobius ring or an element containing a Mobius ring, giving it a long-term love meaning in order to gain the favor of lovers.
Indeed, if love could really be like the Mobius Ring, never ending forever, how good it would be. But things are not always perfect, so it also gives birth to a Möbius concept of love. People with this view often want to fall in love very much sometimes, but sometimes they especially enjoy the feeling of being single and hate love, so they repeatedly tangle and cycle in these two situations.
The special structure of the Möbius ring, in addition to symbolizing long and distant love, also has some more frightening meanings. Have you seen Horror Cruises? In this movie, the protagonist repeats the same days as the original day after day, with no end in sight. Every day's life scene is the same as before, there seems to be no beginning, no end, like being trapped in a whirlpool of time, people are trapped in it, and they can never escape.
There is also a rumor of a curse in the Möbius Ring. It is rumored that when a woman was ready to go out to meet her son, she unfortunately encountered a car accident, at this time she met the god of death, because she was particularly worried about the son who was still waiting, so the woman pleaded with the god of death, and in desperation, the god of death promised to let her go back to see her son, and the woman hurried back to see his son, but after the meeting, she was completely reluctant to leave, and she still wanted to accompany her son. However, this action completely violated the agreement with the god of death, angered the god of death, so the god of death, in order to punish her, let her stay in the vortex of this time forever, forever trapped in this circle of time.
In fact, the Mobius ring also has a great status in the art world, and in recent years, even many film and television dramas have the concept of the Mobius ring, what is going on?
In the field of science, the Möbius ring actually belongs to a topological structure, drawing lines along the surface of the Möbius ring, you can directly draw the two sides of the entire paper belt without going beyond the edge of the paper belt. The edges of the two Möbius rings are connected to form a Klein bottle, and the Klein bottle belongs to the object of four-dimensional space, although in real life we also made this bottle, but it is only a Klein bottle in three-dimensional space, not a real Klein bottle. The real Klein bottle, the neck and the bottom of the bottle should be connected, it exists in the four-dimensional space, and its bottleneck does not need to pass through its own interior.
There is a famous painting called "Hand Painter". In this painting, the left hand and the right hand are painted on each other's wrists, and the two hands together with the wrists seem to form the shape of a Mobius ring, and it is not known whether the left hand is drawing the right hand or the right hand is drawing the left hand, and the author has left us with infinite reverie. It seems to symbolize reality, who is the starting point? Who is the finish line? Can we really tell the difference? Can you really be sure that reality as we understand it is reality and that dreams are dreams?
At the same time, there are also some film and television works, such as "The Avengers", "Ring Messenger", "Former Destination" and so on. Some works take advantage of the reincarnation of time and space, and the protagonist returns to the past by traveling through time and space, but is it just a person who simply returns to the past? If you think about it, is this person really still the same person in that time and space? And is the person in time and space still himself? Who is the real self?
This magical structure of the Möbius ring is not only an object that scientists study, we can also relate it to many allegories in life.