Origametry

Origametry PDF

Author: Thomas C. Hull

Publisher: Cambridge University Press

Published: 2020-10-08

Total Pages: 343

ISBN-13: 1108478727

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Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It is an essential reference for researchers of origami mathematics and applications in physics, engineering, and design. Educators, students, and enthusiasts will also enjoy this fascinating account of the mathematics of folding.

Mathematical Origami

Mathematical Origami PDF

Author: David Mitchell

Publisher: Tarquin Group

Published: 2020

Total Pages: 0

ISBN-13: 9781911093169

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Origami is the art of paper folding without the use of either scissors or glue. Each of the beautiful and fundamental mathematical shapes described in this book is achieved by folding sheets of standard A4 paper. It is remarkable what can been done and David Mitchell gives clear step by step instructions for each. He has gathered together a most impressive collection which will amaze and interest mathematics teachers and other admirers of pure geometrical forms. This new second edition extends the selection massively and has been split into two volumes - see contents.

Origami Design Secrets

Origami Design Secrets PDF

Author: Robert J. Lang

Publisher: CRC Press

Published: 2012-09-24

Total Pages: 591

ISBN-13: 1568817002

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Robert J. Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at

Origami Design Secrets

Origami Design Secrets PDF

Author: Robert J. Lang

Publisher: CRC Press

Published: 2011-10-05

Total Pages: 772

ISBN-13: 1568814364

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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.

Twists, Tilings, and Tessellations

Twists, Tilings, and Tessellations PDF

Author: Robert J. Lang

Publisher: CRC Press

Published: 2017-12-22

Total Pages: 603

ISBN-13: 148226241X

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Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

Genuine Japanese Origami

Genuine Japanese Origami PDF

Author: Jun Maekawa

Publisher: Courier Corporation

Published: 2012-06-13

Total Pages: 198

ISBN-13: 0486483312

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This unique book by an origami master uses geometric and mathematical principles as well as rectangular paper to create a wide range of insects, plants, trees, animals, and fantastic creatures. Original models include hummingbirds, dragonflies, peacocks, rabbits, toads, fish, maple leaves, the golden beetle, a praying mantis, a tortoise, and more.

Mathematical Origami

Mathematical Origami PDF

Author: David Mitchell

Publisher: Tarquin Group

Published: 1997

Total Pages: 44

ISBN-13: 9781899618187

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Presents step-by-step instructions to make paper models of geometric shapes including a cube, tetrahedron, rombic star and dodecahedron. Suggested level: senior secondary.

Origametry

Origametry PDF

Author: Thomas C. Hull

Publisher: Cambridge University Press

Published: 2020-10-08

Total Pages: 343

ISBN-13: 1108805159

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Origami, the art of paper folding, has a rich mathematical theory. Early investigations go back to at least the 1930s, but the twenty-first century has seen a remarkable blossoming of the mathematics of folding. Besides its use in describing origami and designing new models, it is also finding real-world applications from building nano-scale robots to deploying large solar arrays in space. Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It brings together historical results, modern developments, and future directions into a cohesive whole. Over 180 figures illustrate the constructions described while numerous 'diversions' provide jumping-off points for readers to deepen their understanding. This book is an essential reference for researchers of origami mathematics and its applications in physics, engineering, and design. Educators, students, and enthusiasts will also find much to enjoy in this fascinating account of the mathematics of folding.

Origamics

Origamics PDF

Author: Kazuo Haga

Publisher: World Scientific

Published: 2008

Total Pages: 153

ISBN-13: 9812834893

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The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning and teaching of geometry.In this unique and original book, origami is an object of mathematical exploration. The activities in this book differ from ordinary origami in that no figures of objects result. Rather, they lead the reader to study the effects of the folding and seek patterns. The experimental approach that characterizes much of science activity can be recognized throughout the book, as the manipulative nature of origami allows much experimenting, comparing, visualizing, discovering and conjecturing. The reader is encouraged to fill in all the proofs, for his/her own satisfaction and for the sake of mathematical completeness. Thus, this book provides a useful, alternative approach for reinforcing and applying the theorems of high school mathematics.

Origami and Math

Origami and Math PDF

Author: John Montroll

Publisher: Courier Corporation

Published: 2012

Total Pages: 123

ISBN-13: 0486488861

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Presents instructions for folding thirty-nine origami models, from geometrical figures to an elephant--each made from a single sheet of paper--that emphasize the mathematical principles behind each design.