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Ring of Morbius.
It's a kind of topology.
structure, which has only one face (surface), and one boundary. It was developed by the German mathematician and astronomer Mobius (August
ferdinand
M Bius) and John Listeen (Johhan
benedict
listing) was independently discovered in 1858. This structure can be easily made by rotating half a circle of paper tape and gluing the ends together. In fact, there are two different Möbius strips.
mirrors, they are symmetrical with each other. If you rotate the paper tape clockwise and then paste it, it will form a right-handed Möbius tape, and vice versa.
The Möbius strip itself has many wonderful properties. If you cut a Möbius tape from the middle, instead of getting two narrow straps, you will form a loop that twists the end of the tape twice (not a Möbius tape), and then you cut the loop that twists the end of the tape twice and recombines it from the middle, and it becomes two rings. If you divide the width of the band into three parts and cut it along the dividing line, you get two rings, a narrower Möbius strip and a loop that rotates twice and rejoins.
Another interesting feature is the ability to rotate the tape several times before attaching the ends. For example, if you rotate the strap three and a half times and then cut it, it will form a three-leaf knot. Cutting the strap, rotating it, and then re-pasting it will turn into several paradromics.
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Möbius strips are a kind of extended graphs, which remain unchanged under the bending, enlargement, shrinking, or arbitrary deformation of the graph, as long as the original different points do not coincide with the same point during the deformation process, and no new points are generated.
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I have a Mobius ring, all of which are there, if you are interested, you can click on my avatar for a personal introduction! Check it out and give it a try.
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The scary significance of the Möbius Ring is that it is a way of looping in an endless loop.
First of all, the most basic is that the Möbius ring represents a never-ending cycle, just like the scene in "Horror Cruise", if a person is always asked to walk on the Möbius ring, then he sees the same scene day after day, and never reaches the end.
In mathematics, a Möbius ring can be seen as a finite surface, if the front side is green and the reverse side is red, then when one end of the face is rotated and connected to the other end, a harmonious surface with green and red will be formed.
The Möbius ring was first discovered by a famous German mathematician, Morbius and Johann Listin, in 1858, people were shocked to see this magical double-sided ring, in fact, its principle is very similar to the Klein bottle.
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The Möbius ring is a topological structure, it has only one face and one boundary, which can be twisted into 180 degrees with a strip of paper, and then bonded together at the two ends to form a Möbius ring, which is to unify the front and back sides into one face.
If you cut along the middle of the Möbius ring, you will form a ring that is twice as large as the original Möbius ring, and if you cut along the middle of the ring, you will form two rings that are identical and have two sides, and the two rings are nested together.
The Möbius ring is cut along the midline, and for the first time, a larger ring can be obtained; The second time and later, each time you will get two rings nested within each other, never breaking in between, which is also the magic of the Möbius ring.
There are also many ordinary applications, such as roller coasters in amusement parks; The Möbius ring is also a kind of endless loop, no matter which point of the Möbius ring you start from, after walking for a while, you will find that you are back to the original point, so the Möbius ring is also very scary, forever round trip, infinite, standing still.
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The repetitive geometric feature of the Möbius circle contains eternal and infinite meaning, so it is often used in various typesLogo design
Philosophical significance: cut along the midline, for the first time, to get a larger ring; The second time and later, you get two rings nested within each other. That is, the world is universally connected.
Mathematical significance: In the traditional three-dimensional world, all dimensions are linear, but if rotation is considered as a kind of latitude, it is relatively easy to make a Möbius strip.
Explain. From the structure of the Möbius strip, it contains a dimension of 360 degrees of horizontal rotation, and at the same time contains a dimension of 360 degrees of rotation in the vertical direction, plus the plane (x, y) dimension of the belt itself, the Möbius strip is a total of four dimensions.
**。In 1858, two German mathematicians, Morbius and Johann Benedict, respectively discovered that a strip of paper twisted 180 degrees and then glued together at both ends had magical properties. Unlike ordinary paper tapes, which have two sides (double-sided surfaces), such paper tapes have only one side (single-sided surfaces), and a small worm can crawl over the entire surface without having to step over its edges, this magical single-sided paper tape is called "Möbius Tape".
As a typical topological pattern, the Möbius belt has aroused the research interest of many scientists and has some applications in life and production. For example, the belt of a power machine can be made in the shape of a "Möbius belt", so that the belt does not wear out on only one side. In addition, the Möbius strip is also a classic shape in the eyes of the artist.
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The scary significance of the Möbius Ring is that it is a kind of endless loop, no matter where you start from the Möbius Ring, no matter how far you go in what direction, you will find that you are back to the original point, the Möbius Ring is connected to each other, and the Möbius Ring is interconnected and repeated.
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The Möbius ring can actually be seen as a piece of paper, and after being flipped 180 degrees, the two ends are glued, and then it forms a ring that cannot be seen from front to back.
If an ant is placed on this ring, then it seems to be able to go from one side of the ring to the other, and go on and on without an end, such as "Horror Cruise" and other movies use the terrifying meaning of being stuck in a loop.
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The band in the Möbius ring itself is a two-dimensional concept, but its distortion is a three-dimensional action, and if you apply a two-dimensional material to a three-dimensional action, then it is a three-dimensional object concept.
Strictly speaking, the Möbius ring does not cross the border to the reverse side, but the surface of the belt itself is a whole, one side. The Möbius belt expands into a cylinder, and then joins into a ring, which, no matter how it is twisted, is a ring, and there is no difference.
However, in the real world, the field has a source and a sink, and the electric field has a positive and negative pole, and if a twisted path such as the Möbius ring can be found to achieve a shift in the input of the minimum energy of the positive and negative fields, space travel may be realized at the current level of technology.
First of all, we need to clarify a concept, what is opposite? Philosophically, it refers to two aspects that are interdependent and struggle with each other in the unity of contradictions. Let's break it down.
1.First of all, from one aspect, interdependence is in line with the fact that two sides of a piece of paper are interdependent. What is a struggle: a conflict between two sides of a contradiction, one side seeks to defeat the other, and one side of a piece of paper seeks to defeat the other? Apparently not, so heads and tails.
It can't be called the opposite.
2.From the point of view of the relationship between the whole and the part, if you look at the Möbius ring locally, then it has two faces, but from the whole, there is only one face, as the Möbius ring itself should be a one-dimensional object.
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The meaning of the Möbius ring is endless love.
No matter from the beginning, I can meet you again. The black and white Möbius ring La Gaochen symbolizes stable love, and each fading stage of the black Möbius ring represents the state of love between couples in different periods.
The Möbius ring has only one face and one boundary, and the two sides of the ring are like two separate individuals, no matter which point they start from, they will eventually return to the starting point, and they pass through both sides of the ring. Just like the starting point is you, the end is also you, going around and around is still you, endless, representing the infinite cycle and eternity of love.
The meaning of the Möbius ring
The black and white Möbius ring pair ring symbolizes stable love. The black Möbius ring ring will slowly fade during the wearing process, and when the black fades to gray, it represents that the lovers have worn off their edges and know how to be harmonious in the love period.
When the gray fades to white, it means that the run-in period has passed, the relationship between the lovers is more intimate and stable, the ring will no longer fade, and will be fixed in white forever, symbolizing the stable love relationship between lovers.
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It symbolizes cyclicality, eternity, infinity.
It symbolizes cyclicality, eternity, infinity. The Möbius belt, also known as the Mebius ring or the Mebius belt, is a topological structure that has only one face (surface) and one boundary. Therefore, it is often used in various logo designs, and in the ring, it symbolizes eternal and perfect love.
Philosophical significance: cut along the midline, for the first time, to get a larger ring; The second time and later, you get two rings nested within each other. That is, the world is universally connected.
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The Möbius ring was inspired by a discovery made by mathematicians. This plane has no beginning or end, the cycle is repeated and endless, so that " " is defined as infinite and at the same time symbolizes eternity. A strip of paper, but it forms a surface on both sides of the border without crossing, similar to an unfinished story, trapped in it, and maintained for eternity.
The Möbius tape is a paper tape circle made by twisting a paper strip 180° and then bonding the two ends, which has the property of magic. The Möbius belt was discovered in 1858 by the German mathematicians Mobius (1790-1868) and Johann Listing.
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