What Is Möbius Syndrome?
In 1858, the German mathematicians Mobius (1790 ~ 1868) and John Listin discovered that after twisting a strip of paper 180 °, the two ends were glued together to make a loop of paper tape. Nature. Ordinary paper tape has two sides (that is, a double-sided curved surface), one front side and one reverse side, and the two sides can be painted in different colors. Such a paper tape has only one side (that is, a single-sided curved surface), and a small insect Crawl through the entire surface without having to cross its edges. This paper tape is called a "Mobius tape" (that is, its surface is reduced from two to only one).
Mobius Strip
- Take a long white note, paint one side to black, and turn one end over to make a Mobius strip. Use scissors to cut it open along the center of the tape. The paper tape was not cut in two, but cut out a double-length paper ring.
- You can use parameters
- Mobius strips are extended graphics. They remain unchanged when the graphics are bent, enlarged, shrunk, or deformed arbitrarily, as long as the different points are not overlapped into the same point during the deformation process. New point. In other words, the condition of this transformation is that there is a one-to-one correspondence between the points of the original figure and the points of the transformed figure, and the neighboring points are also neighboring points. Such a transformation is called a topological transformation. Topology has an image saying-rubber geometry. Because if the graphics are made of rubber, many graphics can be topologically transformed. For example, a rubber band can be transformed into a circle or a square circle. But a rubber band cannot
- In the traditional three-dimensional world, all dimensions are linear, but if you consider rotation as a kind of latitude, it is relatively easy to explain the Mobius zone.
- From the structure of the Mobius belt, it contains a horizontal 360-degree rotation dimension, and a vertical 360-degree rotation dimension, plus the plane (x, y) dimension of the belt itself. The Usband is a total of four dimensions.
- The relationship between the two latitudes
- If the degree of rotation in the vertical direction continues to increase, it will only increase the number of turns of the Mobius strip, and will not increase the dimension of the space.