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Mathematical Origami

Mathematical Origami
Author: David Mitchell
Publisher: Tarquin Group
Total Pages: 0
Release: 2020
Genre: Crafts & Hobbies
ISBN: 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.


Origametry

Origametry
Author: Thomas C. Hull
Publisher: Cambridge University Press
Total Pages: 343
Release: 2020-10-08
Genre: Art
ISBN: 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.


Origami Design Secrets

Origami Design Secrets
Author: Robert J. Lang
Publisher: CRC Press
Total Pages: 591
Release: 2012-09-24
Genre: Mathematics
ISBN: 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


Twists, Tilings, and Tessellations

Twists, Tilings, and Tessellations
Author: Robert J. Lang
Publisher: CRC Press
Total Pages: 716
Release: 2017-12-22
Genre: Mathematics
ISBN: 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 Origami

Genuine Origami
Author: Jun Maekawa
Publisher: Japan Publications Trading
Total Pages: 164
Release: 2008
Genre: Crafts & Hobbies
ISBN: 9784889962512

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Contains illustrated instructions for creating forty-three mathematically-based origami models.


Y Origami?

Y Origami?
Author: David C. Morgan
Publisher: American Mathematical Soc.
Total Pages: 154
Release: 2017-12-06
Genre: Crafts & Hobbies
ISBN: 1470436744

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When origami met the worlds of design and engineering, both fields embraced the ancient art form, using its principles and practices to discover new problems and to generate inventive solutions. This book demonstrates the potential of folding to improve the way things work, simplify how products are produced, and make possible new objects otherwise impossible. The solar collector, the felt stool, and the surgery tool have all been influenced in some way by folding paper. The example section is organized to show the folded figure next to the product prototype that was inspired by that work of origami. We have included models made from an array of materials over a range of sizes. This includes everything from a microscopic mechanism to huge solar panels designed to unfold in outer space. Most entries are at the prototype phase—meaning that physical hardware has been built to demonstrate the concept, but that the examples are not necessarily available commercially. Y Origami? also includes brief learning activities related to paper folding, such as a discussion of Euler's formula, angular measurements, and developable surfaces, along with more advanced topics. Throughout the book many diagrams and photographs illustrate the advancing concepts and methods of origami as an art form and a problem-solving strategy.


Project Origami

Project Origami
Author: Thomas Hull
Publisher: CRC Press
Total Pages: 365
Release: 2012-12-21
Genre: Mathematics
ISBN: 1466567910

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Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities. The book contains detailed plans for 30 hands-on, scalable origami activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors on solutions, how the handouts can be used, and other pedagogical suggestions. The handouts are also available on the book’s CRC Press web page. Reflecting feedback from teachers and students who have used the book, this classroom-tested text provides an easy and entertaining way for teachers to incorporate origami into a range of college and advanced high school math courses. Visit the author’s website for more information.


Origamics

Origamics
Author: Kazuo Haga
Publisher: World Scientific
Total Pages: 153
Release: 2008
Genre: Mathematics
ISBN: 9812834907

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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.


Ornamental Origami

Ornamental Origami
Author: Meenakshi Mukerji
Publisher: CRC Press
Total Pages: 154
Release: 2020-03-27
Genre: Mathematics
ISBN: 1439871086

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This book is a great resource for people who enjoy polyhedra, symmetry, geometry, mathematics and origami. The types of models presented are similar in nature to the models in Mukerji's Marvelous Modular Origami, but some of the chapters are more advanced and all of the designs are new. The reader can learn about polyhedra while making these models and is left with the ability to design one's own models. Step-by-step folding instructions for over 40 models are presented. Although the book is for intermediate folders, beginners are encouraged to try because origami basics are explained. The diagrams are easy to follow and each model is accompanied by breathtaking finished model photographs.


Geometric Origami

Geometric Origami
Author: Faye Goldman
Publisher: Simon and Schuster
Total Pages: 170
Release: 2014-04-01
Genre: Crafts & Hobbies
ISBN: 1626861188

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Geometric Origami is a sophisticated origami kit for advanced origami artists. Shape up with this mind-blowing origami set that includes patterns inspired by the exquisite artwork of Heinz Strobl’s Snapology Project. Create 15 paper projects using the specially designed strips included in the set: Tetrahedron, Hexahedron, Octahedron, Dodecahedron, Icosahedron, Truncated Tetrahedron, Cuboctahedron, Icosidodecahedron, Rhombic Triacontahedron, Snub Dodecahedron, Zonohedron, and Buckyballs. Don’t worry—there are even a few pronounceable shapes like an Egg and a Geometric Bracelet, plus more surprises. Gain a whole new perspective on geometry and the world of origami. Great fun for the entire family—or for your local geometry professor. Geometric Origami offers the next generation of art and paper crafting for origami enthusiasts.