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There are two traditional methods for making polyhedra out of paper: polyhedral nets and modular origami.In the net method, the faces of the polyhedron are placed to form an irregular shape on a flat sheet of paper, with some of these faces connected to each other within this shape; it is cut out and folded into the shape of the polyhedron, and the remaining pairs of faces are attached together.
The origami crane diagram, using the Yoshizawa–Randlett system. The Yoshizawa–Randlett system is a diagramming system used to describe the folds of origami models. Many origami books begin with a description of basic origami techniques which are used to construct the models.
[2] In the early 1980s, Professor Chatani began to experiment with cutting and folding paper to make unique and interesting pop-up cards. He used the techniques of origami (Japanese paper folding) and kirigami (Japanese papercutting ), as well as his experience in architectural design, to create intricate patterns that played with light and ...
This category is for origami, the Japanese art of paper folding. Other paper folding arts and mathematical aspects of paper folding are in Category:Paper folding . Subcategories
John Montroll was born in Washington, D.C. [1] He is the son of Elliott Waters Montroll, an American scientist and mathematician.He has a Bachelor of Arts degree in Mathematics from the University of Rochester, a Master of Arts in Electrical Engineering from the University of Michigan, and a Master of Arts in applied mathematics from the University of Maryland.
Wet-folding is an origami technique developed by Akira Yoshizawa that employs water to dampen the paper so that it can be manipulated more easily. This process adds an element of sculpture to origami, which is otherwise purely geometric. Wet-folding is used very often by professional folders for non-geometric origami, such as animals.
Chinese paper folding, or zhezhi (), is the art of paper folding that originated in medieval China.. The work of 20th-century Japanese paper artist Akira Yoshizawa widely popularized the Japanese word origami; however, in China and other Chinese-speaking areas, the art is referred to by the Chinese name, zhezhi.
In this way, the resulting geometries of origami are stronger than the geometries of compass and straightedge, where the maximum number of solutions an axiom has is 2. Thus compass and straightedge geometry solves second-degree equations, while origami geometry, or origametry, can solve third-degree equations, and solve problems such as angle ...