Origami Design Secrets: Mathematical Methods for an Ancient Art, Second Edition / Edition 2

Origami Design Secrets: Mathematical Methods for an Ancient Art, Second Edition / Edition 2

5.0 2
by Robert J. Lang
     
 

ISBN-10: 1568814364

ISBN-13: 9781568814360

Pub. Date: 10/26/2011

Publisher: Taylor & Francis

The magnum opus of one of the world’s leading origami artists, the second edition of Origami Design Secrets reveals the underlying concepts of origami and how to create original origami designs. Containing step-by-step instructions for 26 models, this book is not just an origami cookbook or list of instructions—it introduces the fundamental

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Overview

The magnum opus of one of the world’s leading origami artists, the second edition of Origami Design Secrets reveals the underlying concepts of origami and how to create original origami designs. Containing step-by-step instructions for 26 models, this book is not just an origami cookbook or list of instructions—it introduces the fundamental building blocks of origami, building up to advanced methods such as the combination of uniaxial bases, the circle/river method, and tree theory. With corrections and improved illustrations, this new expanded edition also covers uniaxial box pleating, introduces the new design technique of hex pleating, and describes methods of generalizing polygon packing to arbitrary angles.

With coverage spanning the foundations of origami construction and advanced methods using both paper and pencil and custom-built free software, Origami Design Secrets helps readers cultivate the intuition and skills necessary to develop their own designs. It takes them beyond merely following a recipe to crafting a work of art.

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Product Details

ISBN-13:
9781568814360
Publisher:
Taylor & Francis
Publication date:
10/26/2011
Edition description:
Original
Pages:
770
Sales rank:
248,873
Product dimensions:
8.50(w) x 11.00(h) x 1.40(d)

Table of Contents

Table of Contents
Introduction
Building Blocks
Elephant Design

Traditional Bases
Folding Instructions
Stealth Fighter. Snail. Valentine. Ruby-Throated Hummingbird. Baby.

Splitting Points
Folding Instructions
Pteranodon. Goatfish.

Grafting
Folding Instructions
Songbird 1. KNL Dragon. Lizard. Tree Frog. Dancing Crane.

Pattern Grafting
Folding Instructions
Turtle. Western Pond Turtle. Koi.

Tiling
Folding Instructions
Pegasus

Circle Packing
Folding Instructions
Emu. Songbird 2.

Molecules
Folding Instructions
Orchid Blossom. Silverfish.

Tree Theory
Folding Instructions
Alamo Stallion. Roosevelt Elk.

Box Pleating
Folding Instructions
Organist. Black Forest Cuckoo Clock.

Uniaxial Box Pleating
Folding Instructions
Bull Moose

Polygon Packing
Crease Patterns
Flying Walking Stick. Salt Creek Tiger Beetle. Longhorn Beetle. Camel Spider. Water Strider. Scarab Beetle. Cicada Nymph. Scarab HP. Cyclomatus metallifer. Scorpion HP. Euthysanius Beetle. Spur-Legged Dung Beetle.

Hybrid Bases
Folding Instructions
African Elephant

References
Glossary of Terms
Index

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Origami Design Secrets: Mathematical Methods for an Ancient Art, Second Edition 5 out of 5 based on 0 ratings. 2 reviews.
Anonymous More than 1 year ago
PeterE More than 1 year ago
Robert Lang’s Origami Design Secrets, published in 2003, has become the bible of origami mathematical theory. Weighing in at 3-1/2 pounds and with 585 pages, it felt never-to-be-surpassed. But it has, as Lang has produced this expanded edition that tops the previous one by more than a pound and 170 new pages. If it gets any larger, it may go the way of the printed version of the Encyclopedia Britannica. Get it while you can still hold it in your hands. Origami Design Secrets is an extraordinary codification of the mathematical tools used by Lang and an increasing number of other folders to design complex origami figures, those with slender legs and antennas, articulated body parts, textured scales and feathers, and other features not easily generated by means of traditional origami bases or trial and error. The essence of the mathematical approach is optimization. Complex models need to use paper efficiently in order to generate all those long, thin appendages, or else the paper will bunch up and your gazelle will look like a hippo. Lang’s analytical approach ensures that the paper is apportioned in the most efficient manner to achieve the desired result. Over the decades, Lang and other theorists have developed a profound understanding of how a square of paper folds up at the macro level (how efficient forms derive from the shape of a square), the micro level (what happens at each individual intersection of creases in the interior of the paper), and in between. Lang is generous in sharing credit for those discoveries, many of which are his. The culmination of Lang’s approach is his creation of computer programs that lay out the points and creases of the intended design on the actual square of paper. He sometimes uses a laser cutter to produce the patterns on handmade paper for his museum-quality models, an interesting mix of the crafted and the machined. In Lang’s approach, there is little role for chance and serendipity. Mathematical efficiency and rigor rule the day. That much premeditation will not be to every folder’s liking, and there is plenty of room in the creative origami world for different theologies. Yet there is no doubt that many of Lang’s finished creations are extremely beautiful, both on the surface and in the elegance of their folding process. Regrettably, Lang’s writing rarely touches on the artistry of the design process, and despite his attempt to make his mathematical theories and computer programs accessible to all, many other folders who implement his approach produce (in this reviewer’s eyes) little of aesthetic value. Now to the book itself, and to the expanded edition. The format is based on building up origami mathematical theory chapter by chapter, with nearly every chapter followed by instructions for folding several models of Lang’s own design. As the theory grows more complex, so do the models, and some of the later ones may take readers hours to construct. Those new to origami may hit a wall after just the first few chapters. This is one origami book that is not being marketed to beginners. Because of Origami Design Secrets’ formidable mathematical achievements, other of its accomplishments are rarely remarked on. First, Lang’s prose is colloquial and accessible, and he truly endeavors to explicate rather than obfuscate, which would have been the easier course. And second, his diagrams—both the step-by-step diagrams for folding the models and the analytical drawings, many of them in 3-D--are equally lucid. In the absence of Lang’s excellent communication skills, attempting to explain this complex material to the mathematical near-layman would not have been worth the effort. Readers who own the first edition will naturally wonder whether to purchase the second one. If you can afford it and have room on your bookshelf, I highly recommend it. The new edition contains two new chapters (on uniaxial box pleating and polygon packing), expanded and revised portions of other chapters, four new sets of diagrams (including instructions for a beautiful dancing crane), and a dozen mind-bogglingly complex and beautiful crease patterns to arthropods so creepy and real (a scorpion, a camel spider, a scarab beetle) that they will haunt your dreams. Origami Design Secrets edition number two will clearly remain the final word on its subject—until, of course, Lang comes out with edition number three.