Mobius belt is made as follows:
1. First of all, we need to prepare two long pieces of paper, which are as long as possible to facilitate the subsequent operation.
2. As shown in the figure, stand the two ends of two long strips of paper together.
3. As shown in the picture, color one side of the long paper together, or shade it with a pencil to distinguish the front and back sides.
4. Rotate one end of the paper by 180 degrees, and then stick it with the other end of the paper to make a Mobius belt.
Mobius belt was discovered by German mathematicians Mobius (1790 ~ 1868) and Johann Rhys Ding Yu (1858). It is a paper tape loop made by twisting a piece of paper 180 and then bonding the two ends together, which has magical properties.
Ordinary paper has two sides (i.e. hyperboloid), one front and one back, and the two sides can be painted with different colors; However, such a paper tape has only one surface (that is, a single curved surface), and insects can climb all over the curved surface without crossing its edge. This kind of paper tape is called "Mobius tape" (that is, its curved surface is reduced from two to only one).
As a typical topological graph, Mobius belt has aroused the research interest of many scientists and has some applications in life and production. For example, the belt of power machinery can be made into the shape of "Mobius belt", so that the belt will not wear only one side. In addition, Mobius belt is also a classic shape in the eyes of artists.