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Almost every origami book has basic instructions and a set of folding symbols. The following are books that happen to have detailed explanations of these techniques, and how the techniques are related to each other: David Lister (29 February 2024). "The Origin of Origami Symbols". British Origami Society. Robert J. Lang (1988). The Complete ...
Geometric Origami is a book on the mathematics of paper folding, focusing on the ability to simulate and extend classical straightedge and compass constructions using origami. It was written by Austrian mathematician Robert Geretschläger [ de ] and published by Arbelos Publishing (Shipley, UK) in 2008.
Modular origami or unit origami is a multi-stage paper folding technique in which several, or sometimes many, sheets of paper are first folded into individual modules or units and then assembled into an integrated flat shape or three-dimensional structure, usually by inserting flaps into pockets created by the folding process. [3]
A cross fold is when a paper is folded once, then rotated 90 degrees and folded again. The creases therefore cross each other at right angles. The most basic cross fold is the French fold, or right-angle fold. Other examples include the 16-page broadside and the 12-page letter. [2]
Maying Soong's 1948 book, The Art of Chinese Paper Folding, helped popularise recreational paper folding in the 20th century, and was possibly the first to distinguish the difference between Chinese versus Japanese paper folding – where the Chinese focus primarily on inanimate objects, such as boats or pagoda, the Japanese include representations of living forms, such as the crane. [4]
With each fold a certain amount of paper is lost to potential folding. The loss function for folding paper in half in a single direction was given to be L = π t 6 ( 2 n + 4 ) ( 2 n − 1 ) {\displaystyle L={\tfrac {\pi t}{6}}(2^{n}+4)(2^{n}-1)} , where L is the minimum length of the paper (or other material), t is the material's thickness, and ...
The development of orihon began in China but later took on an association with Japanese books, as shown by its current name."The development of alternatives to the roll in China is difficult to date, but it appears that at some time during the Tang period long rolls consisting of sheets of paper pasted together began to be folded alternately one way and the other to produce an effect like a ...
The book is organized into three sections, on linkages, origami, and polyhedra. [1] [2]Topics in the section on linkages include the Peaucellier–Lipkin linkage for converting rotary motion into linear motion, [4] Kempe's universality theorem that any algebraic curve can be traced out by a linkage, [1] [4] the existence of linkages for angle trisection, [1] and the carpenter's rule problem on ...