From the simple Triangular Diamond and the Tower to the more advanced Cuboctahedron and the magnificent Stella Octangular, 30 multifaceted marvels will not only challenge devotees of the ancient Japanese art of paperfolding but will also appeal to students and others interested in math and geometry.... read more
Modular Origami Polyhedra: Revised and Enlarged Edition by Lewis Simon, Bennett Arnstein, Rona Gurkewitz Step-by-step instructions and clearly detailed diagrams enable origamists to build over 35 different polyhedra from origami units. Fascinating models range from relatively simple modular cubes to more advanced two-piece modules.
Classic Polyhedra Origami by John Montroll Step-by-step instructions and two-color diagrams show beginning and experienced paperfolders how to create 33 variations on the geometric forms known as polyhedra. It also contains sections on pyramids, prisms, antiprisms, and dodecahedra.
Airigami: Realistic Origami Aircraft by Elmer A. Norvell Fold realistic replicas of 19 planes — 10 airworthy, 9 for display. Models include the Concorde, F-16 Fighting Falcon, F-117 Nighthawk, and XB-70 Valkyrie. A CD-ROM contains bonus photos, full-color "skins," and additional models.
Origami on the Edge by Xander Arena Ranging in difficulty from intermediate to advanced, 16 unusual models include a sword, hammerhead shark, vampire bat, tank, crocodile, ghost bride, chameleon, polar bear, Komodo dragon, demon, motorcycle, and more.
From the simple Triangular Diamond and the Tower to the more advanced Cuboctahedron and the magnificent Stella Octangular, 30 multifaceted marvels will not only challenge devotees of the ancient Japanese art of paperfolding but will also appeal to students and others interested in math and geometry.
Dover Original published in association with Antroll Publishing Company.
We sat down with Mr. Montroll to discuss his influences, the impact of math on origami, and what he sees for the future of the artform.
How did you first get interested in origami and what were your influences? I was four when a Japanese neighbor taught me origami. At six, I had some books, showing the Japanese style.
Where do you find the inspiration for your original models? The models in the books were made by folding, cutting, using multiple sheets, and sometimes from non-square paper. I wanted to make origami where each model could be folded from a single uncut square so I had to make them up. Since I started as a child, "creating" was natural. Whatever I wanted to fold, I would make up. There was nothing great about my models, but I enjoyed exploring and found there was no end. In time, my work evolved as I discovered more techniques, and also philosophies, in the quality of origami. Now I can say that developing new, theme-related ideas and writing books gives me inspiration.
Do you think that there is a strong relationship between origami and mathematics? Yes. There is much math — geometry, algebra, trigonometry, etc. — in the structure of folding which can be used to develop and control the folding methods and designs. Math is especially used in my Dover books Origami and Math and Classic Polyhedra Origami. Still, math is not essential and there are many aspects of origami that do not use math. Even if math was used in the design of a model, the folder need not understand it.
As a teacher, do you integrate origami into your lesson plans? As a math teacher, I can say students love doing origami! Sometimes, if my students finish their class work early, I let them fold from my books. Or we have some days, such as before vacations, where we do origami. But I will admit that I do not use origami as part of the math lesson!
What new directions do you think the art of origami will be taking in the future? In the past few decades, origami has made huge developments in many directions. More people are involved, more ideas have been explored, all with more styles and techniques. The future will reveal newer directions for more people to explore and find their particular interest.
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