Mobius belt has more bizarre characteristics. Some problems that could not be solved on the plane were actually solved on the Mobius belt. For example, the problem of "glove translocation" that can't be realized in ordinary space: although people's left and right gloves are very similar, they are essentially different. We can't put the gloves on our left hand correctly on our right hand; You can't put the gloves on your right hand correctly on your left hand. No matter how you twist, the left-handed condom is always the left-handed condom and the right-handed condom is always the right-handed condom. However, if it is moved to the Mobius belt, it will be easy to solve.
Mobius bands is an extended graph, which remains unchanged when the graph is bent, enlarged, shrunk or deformed at will, as long as the original different points do not overlap into the same point, and no new points are generated during the deformation process. Because if the graphics are all made of rubber, many graphics can be topologically transformed. For example, a rubber band can be deformed into a circle or a square. But rubber bands cannot be converted from topology to Arabic numeral 8. Because if the two points on the circle don't coincide, the circle won't become 8. Mobius belt? Just meet the above requirements. ?
In the traditional three-dimensional world, all dimensions are linear, but if rotation is regarded as a latitude, it is relatively easy to explain the Mobius belt. If the rotation degree in the vertical direction continues to increase, it will only increase the number of turns of Mobius tape winding, but will not increase the dimension of space.