If the two sides of the belt represent two independent things, then the greatest significance of Mobius belt is to symbolize integration, which can not only represent love, but also symbolize the blending of two worlds. Is there such a Mobius road from one planet to another?

Philosophical significance:

1, two sides are one side. That is, the unity of opposites of contradictions.

2. Cut along the center line, for the first time, and get a larger ring; The second time and later, two nested rings are obtained at a time. The world is universally connected.

Mathematical significance:

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.

In other words, the condition of this transformation is that there is a one-to-one correspondence between the points of the original graph and the points of the transformed graph, and the adjacent points are also adjacent points. Such a transformation is called topological transformation.

Topology has an image of rubber geometry. Because if the graphics are all made of rubber, many graphics can be topologically transformed.

Extended data:

Mobius band is a two-dimensional compact manifold (that is, bounded surface), which can be embedded in three-dimensional or higher-dimensional manifolds. It is a non-directional standard example and can be regarded as RP#RP. It is also one of the examples of describing fiber bundles in mathematics.

In particular, it is a nontrivial bundle on circle S, and its fineness unit interval is I= [0, 1]. Just looking at the edge of Mobius belt, a very two-point (or Z2) derivation on S is given.

References:

Baidu Encyclopedia-Mobius Band