Mobius band is also called Mobius ring; Astronomers Mobius and John? Li Siding discovered it independently in 1858. This structure is very simple. Just rotate a piece of paper tape for half a turn and stick the two ends together.
Mobius ring is great. Originally, paper has two sides, but it has only one side. Cutting along the middle of the original Mobius ring will form a ring that is twice as big as the original Mobius ring and has two sides, instead of forming two Mobius rings or other forms of rings.
In addition, Mobius ring is a topological structure in mathematics, which plays an important role in the proof of space and boundary.
Mobius with practice video
Mobius belt is made as follows:
1. Prepare 1 A4 paper.
2. Cut the paper into thin strips and take two pieces.
3. As shown in the figure, stand the two ends of two long strips of paper together.
4. As shown in the picture, color one side of the long paper together, or shade it with a pencil to distinguish the front and back sides.
5. Rotate one end of the paper by 180 degrees, and then stick it with the other end of the paper to make a Mobius belt.
Mathematical knowledge of Mobius belt
Mobius ring principle: this structure is easy to make, just rotate a paper tape for half a turn and then bond the two ends. In fact, there are two different Mobius belt images, which are symmetrical to each other. If the paper tape is rotated clockwise and then pasted, a right-handed Mobius tape will be formed.
Mathematical knowledge: Mobius ring is one of the most interesting one-sided problems in mathematical topology.
Application of Mobius Ring
Mobius ring is widely used in architecture, art and industrial production. For example, the conveyor belt in stations and factories, some people make the conveyor belt into a ring shape, so that the stress is distributed to the "two sides", which can double the service life. The printer ribbon of the computer is also made into a ring structure. Using Mobius ring principle, we can build overpasses and roads to avoid traffic jams.
In addition, the roller coaster in the amusement park also makes use of the characteristics of Mobius ring to let the roller coaster pass on both sides of the track. The trilobal kink in the exhibits of China Science and Technology Museum also evolved from Mobius Ring.
Method for manufacture Mobius belt
Preparation materials: A4 paper, adhesive tape, knife and marker.
1. Take out A4 paper and fold it in half once along the long side.
2. Fold in half along the long side to form a thin strip.
3. Cut the paper into thin strips and take two pieces.
4. Glue one end of two cut paper tapes together.
5. Color one side of the post-it note with a colored pen.
6. Twist one end of the paper money by 180 degrees, and stick the two ends of the paper money together to form a Mobius ring.