Origami is an art form, and its history can be traced back to 583 AD. When Buddhist monks traveled from China to Japan via Korea, they carried a lot of paper with them. Because paper was expensive at that time, people used it very carefully, and origami became an indispensable part of some etiquette. Since then, the art of origami has been handed down from generation to generation.
Animals, flowers, boats and people are all creative themes of origami. For centuries, people's enthusiasm for origami has increased day by day. In fact, today there are regional organizations of the International Origami Association in Britain, Belgium, France, Italy, Japan, the Netherlands, New Zealand, Peru, Spain and the United States.
The art of origami has experienced a renaissance. It has come a long way from the early development of origami to today. Today, we students have folded complex patterns out of paper, which is really amazing. They skillfully deformed the paper without glue or scissors, and their proficiency was incredible! The final work is far from a simple box or flower, but a lifelike animal, a lifelike paper sculpture! Such as squid, spiders, snakes, dancers, furniture and so on. These creative achievements undoubtedly come from teachers' years of training, rich experience and profound research on students. Just like the artist M·C· Escher devoted himself to the development of mosaic art, when creating origami figures, origami experts start with a square piece of paper, and then use their imagination, skills and determination to transform it into any shape.
After the origami object is created, the creases left on the square paper reveal a large number of geometric objects and attributes.
The creases on square paper show the following mathematical concepts: similarity, axial symmetry, central symmetry, congruence, similarity ratio, proportion, iteration of similar geometric fractal structure (repeating the pattern continuously within the pattern).
You can choose a square as the initial unit of origami, because compared with rectangles and other quadrangles, a square has four axes of symmetry; Although circles and some regular polygons have more symmetry axes, they lack the right angles of squares, so it is difficult to make them. Sometimes people will use other paper as the beginning of origami, but origami works that start from a square will not use glue and scissors.
It is instructive to study the creative process of origami. People began to fold a shape (three-dimensional object) with a square piece of paper. If something new is folded, the origami unfolds the shape and studies the creases left on the square paper. This process involves dimensional changes. A crease represents the two-dimensional projection of an object on a plane (that is, a cube). And two-dimensional objects to three-dimensional objects, and back to two-dimensional, which involves the field of projection geometry.
The creation of origami begins with a limited number of materials (such as a square piece of paper with a fixed size) and evolves into the desired pattern. There is no limit here, and it is not limited by the real space like soap bubbles.