Origami Design Secrets: Mathematical Methods for an Ancient Art
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Origami Design Secrets: Mathematical Methods for an Ancient Art, Second Edition
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The Ancient Art of Origami
Origami, the ancient Japanese art of paper folding, might have actually originated in China. Papermaking was developed in China and some of the oldest surviving examples of folding paper models are from there.
However, Japan embraced origami and, in most peoples' minds, the art is distinctly Japanese. In its traditional form, a square piece of paper is formed into an endless variety of shapes, using a small number of different folds. Cutting and pasting are not part of the traditional practice.
Besides China, other countries have also taken up paper folding. In Spain and France, starting in the 16th Century, documents, probably baptismal certificates, were folded into little birds, known as "Pajarita" in Spain and "Cocotte" in France.
Origami designs can be simple hats or airplanes, or can be complex structures such as animals or buildings, which can take quite a while to fold. Sometimes the more complex shapes are made of foil rather than paper, since the foil can be folded more times, while creating less bulk.
Standard origami paper is generally a 6" (15 cm) square. Standard folds are used to create bases, the most common of which are the kite, fish, bird and frog.
Once the base is shaped, other folds are added to create almost any shape.
One of the most famous Japanese origami shapes is the crane. The Japanese consider the crane auspicious. Legend has it that anyone who folds a thousand paper cranes will have their heart's desire come true. The origami crane has since become a symbol of peace in Japan.
In the 1920's and 30's, Joseph Albers began to create spiral and curved shapes in his origami works. Later, Akira Yoshizawa inspired the modern revival of the art using even more intricate designs and introducing new techniques such as wet folding, so the origami paper holds its shape better.
To show off the versatility and originality that can be origami, every year for the past 30 years, the American Museum of Natural History in New York has erected a Christmas tree solely decorated with many different origami shapes such as crabs, lobsters, birds, turtles and dinosaurs. It's truly amazing to behold!
There are many books on origami available for beginners to those with more skill. One of the best is "The Complete Book of Origami: Step-by-Step Instructions in over 1000 Diagrams with 37 Original Models", by Robert Lang.
The first part of this book is an excellent introduction into the basic skills needed to do origami. Each model is designed to let you practice one skill several times. This book is a well know source of origami instructions.
You can also buy kits complete with illustrated instructions and the materials you need to get started.
It is truly amazing what can be created from a simple piece of paper. All but the youngest children can make these miniature works of art. It is a craft worth exploring.
