Meaning in life:

If the two sides of the strip represent two independent things, then the greatest significance of the M?bius strip is to symbolize fusion, which can not only represent love, but also represent love on a macro level. Seeing it can also symbolize the blending of two worlds, whether there is such a Mobius road from one planet to another.

Philosophical significance:

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

2. Cut along the center line. The first time, you will get a larger ring; the second time and after, you will get two rings nested in each other. That is, the world is universally connected.

Mathematical meaning:

Moebius strips are extended graphics that remain unchanged when the graphics are bent, stretched, reduced or deformed arbitrarily, as long as During the deformation process, different original points are not allowed to overlap into the same point, and new points are not generated.

In other words, the condition for 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 adjacent points are still adjacent points. Such transformation is called topological transformation.

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

Extended information:

The M?bius strip is a two-dimensional compact manifold (that is, a bounded surface) that can be embedded in a three-dimensional or higher-dimensional flow. in shape. It is a non-directional standard paradigm and can be viewed as RP#RP. It is also one of the examples of describing fiber bundles mathematically.

Specifically, it is a non-trivial bundle on the circle S with one fiber unit interval, I=. Looking only at the edge of the M?bius strip gives a non-trivial distribution of two points on S (or Z2).

Reference: Baidu Encyclopedia-Mobius Strip