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Origami Design Secrets: Mathematical Methods for an Ancient Art, Second Edition (AK Peters/CRC Recreational Mathematics Series) 2nd Edition

4.7 4.7 out of 5 stars 200 ratings

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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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From the Publisher

Key selling points for A K Peters/CRC Press Origami Design Secrets book by author Lang
Reviews for A K Peters/CRC Press Origami Design Secrets book by author Lang
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Editorial Reviews

Amazon.com Review


Review

I am in complete agreement with the questions and thoughts expressed in his book. … This book is perfect for math geeks who aim to apply their math in a very creative way.
―OrigamiBlog.com, January 2012

Robert Lang made some substantial changes ― much to the joy of many origami enthusiasts. The first edition impressed with 594 pages full of high-quality content going into techniques, mathematics, and folding instructions. The second edition tops that by an extra 176 pages, an extra 30% of content! … Altogether, this wealth of new content definitely makes it worth buying the second edition ― even if you already have the first edition. As to if you don’t have either edition: I’d recommend going for the second one.
―Sara Adams, HappyFolding.com, December 2011

The good news is that a second edition of Robert Lang’s Origami Design Secrets is available. The bad news is you’re going to want to buy it, even if you have the first edition. … It’s a tribute to both the author and the publisher (CRC Press) that such major updates have been allowed. This book is without doubt the best guide to creating origami that has ever been published and I suspect it will retain the crown forever. … Quite simply, all creative folders should own this book if they have any interest in developing their skills. Even if they have no such interest, they should buy it ― it’s that good.
―Nick Robinson, origami artist and author, on his blog, September 2011

Praise for the First Edition:The first part of his plan was to write the book he’d been contemplating while still at JDS Uniphase ― Origami Design Secrets, which was published in 2003 and lays out the underlying principles of origami and design techniques.
―Susan Orlean,
The New Yorker, February 2007

When Robert J. Lang, a laser physicist, talks with passion about origami ― the Japanese art of paper folding ― the line between play and discovery also completely dissolves. Mr. Lang is what might be called an origamist (see www.langorigami.com). He wrote the book Origami Design Secrets: Mathematical Methods for an Ancient Art and has created tarantulas, delicate herons, 12-spined shells and big-horned elk out of single, uncut, folded sheets of paper.
―Edward Rothstein,
The New York Times, April 2006

This book is a synthesis of origami technique, history, and instructions, with very thoughtful and clear explanations for almost every aspect of the art of folding and designing origami.
―Sarah Gourlie,
Math Horizons, January 2006

Lang chose to strike a balance between a book that describes origami design algorithmically and one that appeals to the origami community … . For mathematicians and origamists alike, Lang’s expository approach introduces the reader to technical aspects of folding and the mathematical models with clarity and good humor … Origami Design Secrets … is highly recommended for mathematicians and students alike who want to view, explore, wrestle with open problems in, or even try their own hand at the complexity of origami model design.
―Thomas C. Hull,
The Mathematical Intelligencer, March 2005

This magisterial work, splendidly produced, covers all aspects of the art and science.
SIAM Book Review, November 2004

For most origami enthusiasts, the ancient Japanese art of folding and making creases is a mere hobby, and a grand pursuit for those giddily obsessed with the mathematics (or aesthetics) of how mere paper can be contorted into objects of beauty and interest. For Robert J. Lang, however, origami has become a life’s pursuit …
―Chad Berndtson,
The Patriot Ledger, November 2004

… finally, the secrets of an origami master are revealed! It feels like Lang has taken you on as an apprentice as he teaches you his techniques, stepping you through examples of real origami designs and their development.
―Erik Demaine, October 2003

There is something for everyone here, whether beginner or expert, left-brained or right, specialist or dilettante.
―Gail Anderson,
Engineering & Science, April 2003



I am in complete agreement with the questions and thoughts expressed in his book. … This book is perfect for math geeks who aim to apply their math in a very creative way.
―OrigamiBlog.com, January 2012

Robert Lang made some substantial changes ― much to the joy of many origami enthusiasts. The first edition impressed with 594 pages full of high-quality content going into techniques, mathematics, and folding instructions. The second edition tops that by an extra 176 pages, an extra 30% of content! … Altogether, this wealth of new content definitely makes it worth buying the second edition ― even if you already have the first edition. As to if you don’t have either edition: I’d recommend going for the second one.
―Sara Adams, HappyFolding.com, December 2011

The good news is that a second edition of Robert Lang’s Origami Design Secrets is available. The bad news is you’re going to want to buy it, even if you have the first edition. … It’s a tribute to both the author and the publisher (CRC Press) that such major updates have been allowed. This book is without doubt the best guide to creating origami that has ever been published and I suspect it will retain the crown forever. … Quite simply, all creative folders should own this book if they have any interest in developing their skills. Even if they have no such interest, they should buy it ― it’s that good.
―Nick Robinson, origami artist and author, on his blog, September 2011

Praise for the First Edition:The first part of his plan was to write the book he’d been contemplating while still at JDS Uniphase ― Origami Design Secrets, which was published in 2003 and lays out the underlying principles of origami and design techniques.
―Susan Orlean,
The New Yorker, February 2007

When Robert J. Lang, a laser physicist, talks with passion about origami ― the Japanese art of paper folding ― the line between play and discovery also completely dissolves. Mr. Lang is what might be called an origamist (see www.langorigami.com). He wrote the book Origami Design Secrets: Mathematical Methods for an Ancient Art and has created tarantulas, delicate herons, 12-spined shells and big-horned elk out of single, uncut, folded sheets of paper.
―Edward Rothstein,
The New York Times, April 2006

This book is a synthesis of origami technique, history, and instructions, with very thoughtful and clear explanations for almost every aspect of the art of folding and designing origami.
―Sarah Gourlie,
Math Horizons, January 2006

Lang chose to strike a balance between a book that describes origami design algorithmically and one that appeals to the origami community … . For mathematicians and origamists alike, Lang’s expository approach introduces the reader to technical aspects of folding and the mathematical models with clarity and good humor … Origami Design Secrets … is highly recommended for mathematicians and students alike who want to view, explore, wrestle with open problems in, or even try their own hand at the complexity of origami model design.
―Thomas C. Hull,
The Mathematical Intelligencer, March 2005

This magisterial work, splendidly produced, covers all aspects of the art and science.
SIAM Book Review, November 2004

For most origami enthusiasts, the ancient Japanese art of folding and making creases is a mere hobby, and a grand pursuit for those giddily obsessed with the mathematics (or aesthetics) of how mere paper can be contorted into objects of beauty and interest. For Robert J. Lang, however, origami has become a life’s pursuit …
―Chad Berndtson,
The Patriot Ledger, November 2004

… finally, the secrets of an origami master are revealed! It feels like Lang has taken you on as an apprentice as he teaches you his techniques, stepping you through examples of real origami designs and their development.
―Erik Demaine, October 2003

There is something for everyone here, whether beginner or expert, left-brained or right, specialist or dilettante.
―Gail Anderson,
Engineering & Science, April 2003

Product details

  • Publisher ‏ : ‎ A K Peters/CRC Press; 2nd edition (October 5, 2011)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 770 pages
  • ISBN-10 ‏ : ‎ 1568814364
  • ISBN-13 ‏ : ‎ 978-1568814360
  • Item Weight ‏ : ‎ 4.8 pounds
  • Dimensions ‏ : ‎ 5.51 x 0.59 x 8.66 inches
  • Customer Reviews:
    4.7 4.7 out of 5 stars 200 ratings

About the author

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Robert J. Lang
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Robert J. Lang has been an avid student of origami for some forty years and is now recognized as one of the world’s leading masters of the art. He is one of the pioneers of the cross-disciplinary marriage of origami with mathematics and organized the 2006 Fourth International Meeting on Origami in Science, Mathematics, and Education at Caltech. He has consulted on applications of origami to medical devices, air-bag design, and space telescopes, is the author or co-author of nine books and numerous articles on origami and lectures on the connections between origami, mathematics, science, and technology. Many examples of his work may be found on his website, http://www.langorigami.com .

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Top reviews from the United States

Reviewed in the United States on February 26, 2015
Excellent book for anyone who has intermediate to advanced experience with origami. Don't get this book if you are a beginner; it will go over your head quite easily. A good benchmark to determine whether or not you'll understand this book is whether or not you can understand the entire folding process and structure of the original Kawasaki rose (not the insanely complicated "new" one). If you can fold one and know exactly what crease does what, and where each flap and corner ends up, you're good to go.

What I love most about the book is that Lang explains things in a clear, methodical, and complete way. He doesn't force the reader to have an "origami mindset" to understand, but doesn't spoonfeed information endlessly, without leaving anything for the reader to consider or determine.

The book does include instructions to what's displayed on the cover, and much much more. Models range from extensions/different applications of traditional bases, to complicated advanced bases, requiring personal artistic skill in shaping the base to the final model. Most of the models in the latter half of the book will require large paper, sometimes rectangles in specific dimensions; small squares less than a foot on each side just won't cut it.

Lang does a good job at stimulating the reader to actually read his writing, and try things out. For example, the koi fish model in the book (one on the cover) only provides instructions to make the model without scales; to add them, you have to go back into the chapter just before and read about tiling, where he provides pieces of the crease pattern in parts. It's a good thing for novice-intermediate folders (of which I am one), because it allows him to explain the tiling process and logic, which allows him to simplify the crease pattern to just show where one needs to repeat this pattern, rather than outlining it all out. May not make a difference to the experienced folder, though.

Also, if you're a mathematician looking for origami mathematics, this book isn't for you despite the title. The focus is more on design than mathematics, though the latter does show up more than a few times in the text.

Overall: Book is only for intermediate to advanced folders who want to understand the logic behind origami better. Contains lots of great models with instructions (some contained within the chapter itself), but you'll need to procure large paper to fold most of them. You're unlikely to find an origami book with as much depth and breadth as this one anywhere else.
11 people found this helpful
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Reviewed in the United States on January 21, 2021
This is definitely the most expensive book I have ever paid for but, it is worth it!
My boyfriend loves origami and wanted to really push his creative limits but couldn't find anything "challenging."
And let me tell you, I searched high and low for this baby. This book sat in my virtual cart for two weeks, i'm surprised it didn't get dusty haha. I'm not a big spender so this was something I thought long and hard about because I wanted it to be worth it, not just for him but for me too! I wasnt exactly sure what his origami lvl was or if this would suffice! I have anxiety okay XD

Anyway this book is great and it gets pretty complicated! Its really mathematical (Not my thing) but he loves it and he has made some incredible things. He's made me a couple basic turtles in the past, but his new creations? Absolutely awesome. I saw the passion in his eyes and that's what makes this book priceless. PS. It shows you how to make a dragon!!!!
One person found this helpful
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Reviewed in the United States on October 25, 2013
This book is about design of figures, i you need to buy a book of origami, this one is the most complete book. We have a lot origami books in market, the most have origami instructions to fold a lot of animals, etc. But here you have some figures like 30 or more, and a lot focus on disign.

I recomend this book for all people who want to know the state of art of origami, also for begginers. If you have no money make a effort and put money in a saving account and then buy only one book of origami: Origami Design Secrets. It's the most complete book until now in the history of origami. If you like origami you MUST have this book.

The const is some people feel bad with geometry or mathematics, both of them are necessary to do complex origami figures. The autor in this edition eliminate one mathematics chapter, i think because some people don't like one chapter and then they feel bad and starting to think is to complex for them the whole book, i have the first edition an this one and i can said is not hard to understand, but is long and complete and you will discover a lot of think(you can download this chapter for free in the Robert Lang web page).

The concepts are clear and mathematics and geometry is easy to understand. The book is the most complet book of origami until now. i have read the first edition, i think the second edition is better, the images are more clear an have more colors and we have like 150 new pages for the same price.
5 people found this helpful
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Reviewed in the United States on August 25, 2022
I got this for a present for my son who loves math and also loves folding more complicated origami stuff. His favorite right now is Jo Nakashima's dragon or eagles. He's really interested in levelling up his origami game. I haven't given it to him yet, but I want to pull it out and shove it into his hands every time I think about it, since I read through it when it arrived to make sure it was a good fit. It isn't just a "here's your instructions" book. It really teaches the math side and I love it for that.
Reviewed in the United States on June 14, 2015
It is FANTASTIC book.
I'm not a big fan of 'recipe' books where one is given a set of instructions to follow without any explanations of inner workings. In this book Dr. Lang gives you a real insight on design. You just have to work on it, learn from it and enjoy it.
What I love about this book: Dr. Lang considers his reader an intelligent human being with motivation to learn. Every topic is discussed in general first, exercises are suggested and independent thinking is encouraged. This is followed by diagrams and instructions for several models. Models are complex, difficult for beginners, but if one perseveres, it is a great delight to fold.
What I don't like - have to find something yet.
May be one thing - at times I wish I had Dr. Land at my side to help me through a particularly challenging place on diagram. I think I'll want it even if I successfully make all the models from the book, just because it'll be great in any case. And even more so if I grow up and start designing my own models.
Thank you, Dr. Lang!!!!!!!
2 people found this helpful
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Top reviews from other countries

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LBF
5.0 out of 5 stars Mind blowing
Reviewed in Canada on February 27, 2023
This book is incredible. The author is brilliant, but writes in a clearly organized and accessible style. Take an artist and a physicist and a mathematician and an exceptionally good writer and roll them into one and you get this once in a lifetime book. It’s worth every single penny.
One person found this helpful
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Henry O.
5.0 out of 5 stars Woah..
Reviewed in the United Kingdom on October 5, 2022
I like Origami and wanted to get more in-depth or something. I didn't really check how much would be in the book, just heard that it is very good, so I was agape when I saw that it is one heck of a tome. Like it makes sense just looking at the price I know, but I just didn't connect the dots. I will be occupied and fascinated by this one for a long while. Very awesome.
One person found this helpful
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Jorge Pelaez Elizundia
5.0 out of 5 stars libro muy completo
Reviewed in Mexico on August 31, 2017
El libro es bastante extenso y permite entender el origami desde otra perspectiva. Creo que si se tiene paciencia se puede aprender mucho de este libro
2 people found this helpful
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Skice Music
5.0 out of 5 stars Wonderful book
Reviewed in Italy on September 5, 2019
Really good book with a lot of really intresting and usefull information to create your own origami
cyrillus34
5.0 out of 5 stars La bible de l'origami
Reviewed in France on April 28, 2019
Bonjour,
J'avais déjà la première édition, celle ci en encore plus massive et recentrée sur le pliage il n'y a plus les nombreuses pages sur les mathématiques du pliage qui sont disons le très très ardues.
Merci et vive amzon.