Paperfolders at every level of expertise will appreciate this original compilation of models inspired by mathematical principles. Origami master John Montroll presents 39 projects, each made from a single square sheet of paper. Models range from the simplicity of a triangle to highly complex cubicles... read more
Cut & Assemble Icosahedra: Twelve Models in White and Color by Prof. Eve Torrence Fun, yet challenging shapes for hobbyists and useful tools for teachers of high school and college geometry, these 12 cut-and-assemble models offer complete step-by-step instructions and diagrams for assembly. Includes pre-colored pieces, plus blank color-your-own options.
3-D Geometric Origami by Rona Gurkewitz, Bennett Arnstein Innovative, challenging book provides instructions, diagrams for creating polyhedra models — from the relatively simple tetrahedron to the mind-boggling truncated hexadecahedron.
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.
A Constellation of Origami Polyhedra by John Montroll Diagrams and simple directions for creating 30 multifaceted marvels, from the simple Triangular Diamond to the magnificent Stella Octangular.
Dinosaur Origami by John Montroll Twenty-five models, ranging from simple to complex, include triceratops, stegosaurus, and tyrannosaurus as well as dimetrodon, protoceratops, elasmosaurus, and others. A master origami designer explains each model with clear instructions and numerous illustrations.
Dollar Bill Animals in Origami by John Montroll Clear, complete directions for basic folds, plus illustrations and diagrams for creating models of a sailboat, swan, duck, goose, penguin, elephant, and 24 other creatures — all graded according to difficulty.
Dollar Bill Origami by John Montroll Clear instructions, diagrams for creating more than 37 models from paper money. Projects include a boat for beginners, peacocks for those with intermediate-level skills, and an elaborate flower for advanced crafters.
Origami for the Enthusiast by John Montroll Twenty-five original paper animal creations offer challenge to origamists seeking advanced projects. Well-known origamist Montroll shows how to fold fish, ostrich, peacock, squirrel, rhinoceros, Pegasus, 19 other intricate subjects.
Origami Under the Sea by John Montroll, Robert J. Lang Twenty-five appealing origami models of aquatic creatures: mollusks, crustaceans, frogs, fishes, and sea mammals. Projects range in difficulty from simple to complex, with step-by-step illustrations and clear instructions.
Origami Worldwide by John Montroll, Brian K. Webb Ranging from simple to moderately difficult, these 33 origami models were created by designers from more than 15 countries. Figures include a frog, ocean liner, penguin, hot air balloon, dragon, many others.
Sea Creatures in Origami by John Montroll, Robert J. Lang Two renowned paperfolders show how to create fish and other creatures, with 24 models ranging from intermediate to very complex. Complete instructions and diagrams illustrate the humpback whale, seahorse, starfish, and more.
Storytime Origami by John Montroll Beginning to advanced folders can bring four classic tales to life with 37 models of characters and scenes from "Goldilocks and the Three Bears," "The Three Little Pigs," "Humpty-Dumpty," and "Cinderella."
Super Simple Origami: 32 New Designs by John Montroll This 48-page, full-color book for beginners presents 32 new designs by an origami expert. Models range from easy to advanced and include a tent, chess pieces, cruise ship, swan, many others.
Teach Yourself Origami: Second Revised Edition by John Montroll Nearly 50 original models by an origami master for folders at every level of experience include a pheasant, octahedron, waterwheel, and many other figures. Includes clear instructions and crisp diagrams.
Paperfolders at every level of expertise will appreciate this original compilation of models inspired by mathematical principles. Origami master John Montroll presents 39 projects, each made from a single square sheet of paper. Models range from the simplicity of a triangle to highly complex cubicles and other geometric shapes. Montroll, who is noted for meticulously developed folding sequences that result in better models with fewer steps, provides detailed instructions and diagrams. He also discusses techniques for dividing paper into fractions, folding to any location on the edge of the square, and using mathematics to attain precision in folding animal models, including camels and elephants. Other models include a collection of polygons, 2-D and 3-D models that employ pentagonal symmetry, and eight chessboards of increasing complexity.
5 Questions with John Montroll: An Exclusive Dover Interview
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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