ORIGAMI TESSELLATIONS

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Origami Tessellations

Author : ERIC. GJERDE
ISBN : 1138442305
Genre :
File Size : 32.59 MB
Format : PDF
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Eric Gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists. With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.
Category:

Origami Tessellations For Everyone

Author : Ilan Garibi
ISBN : 9659270003
Genre : Origami
File Size : 46.36 MB
Format : PDF, Mobi
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"Tessellations are a special genre of geometric origami in which beautiful repetitive patterns are folded from a single sheet of paper. It may seem impossibly complex to the untrained eye, yet master origami artist Ilan Garibi has broken the process down into the simplest of steps. The result: tessellations, well, for everyone!Each design is presented in three sections: the single molecule (the basic structure), a 2 by 2-molecule project, and finally a 4 by 4-molecule project. It’s a gradual process that enables the reader to learn by doing, with expert coaching all along the way.Instructions for 32 models are included; almost all are original works by Ilan Garibi, one of the most well-known origami tessellators in the world—and one of the few full-time origami artists. Garibi started to create tessellations ten years ago and since then has designed more than 100 unique models. This book is focused on square-grid based tessellations and presents some of his most unique models. The book also includes photos of many of his art pieces—made from metal, wood, and more—based on these very designs.Hand-drawn diagrams by Franziska Schwarz, an origami artist and a graphic designer, bring life and volume to instructions on flat paper for the most comfortable learning experience for folders at every skill level"--Amazon.com.
Category: Origami

Origami 6 I Mathematics

Author : Koryo Miura
ISBN : 9781470418755
Genre : Convex and discrete geometry
File Size : 64.22 MB
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is a unique collection of papers illustrating the connections between origami and a wide range of fields. The papers compiled in this two-part set were presented at the 6th International Meeting on Origami Science, Mathematics and Education (10-13 August 2014, Tokyo, Japan). They display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design. This two-part book contains papers accessible to a wide audience, including those interested in art, design, history, and education and researchers interested in the connections between origami and science, technology, engineering, and mathematics. Part 1 contains papers on various aspects of mathematics of origami: coloring, constructibility, rigid foldability, and design algorithms.
Category: Convex and discrete geometry

Twists Tilings And Tessellations

Author : Robert J. Lang
ISBN : 9781482262414
Genre : Mathematics
File Size : 83.36 MB
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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.
Category: Mathematics

Origami 3

Author : Thomas Hull
ISBN : 9781439870044
Genre : Mathematics
File Size : 64.72 MB
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The book contains papers from the proceedings of the 3rd International Meeting of Origami Science, Math, and Education, sponsored by OrigamiUSA. They cover topics ranging from the mathematics of origami using polygon constructions and geometric projections, applications, and science of origami, and the use of origami in education.
Category: Mathematics

Six Simple Twists

Author : Benjamin Dileonardo-parker
ISBN : 113831188X
Genre :
File Size : 68.43 MB
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This new edition of Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design introduces an innovative pleat pattern technique for origami designs that is easily accessible to anyone who enjoys the geometry of paper. The book begins with six basic forms meant to ease the reader into the style, and then systematically scaffolds the instructions to build a strong understanding of the techniques, leading to instructions on a limitless number of patterns. It then describes a process of designing additional building blocks. At the end, what emerges is a fascinating art form that will enrich folders for many years. Unlike standard, project-based origami books, Six Simple Twists focuses on how to design rather than construct. In this thoroughly updated second edition, the book explores new techniques and example tessellations, with full-page images, and mathematical analysis of the patterns. A reader will, through practice, gain the ability to create still more complex and fascinating designs. Key Features Introduces the reader to origami tessellations and demonstrates their place in the origami community New layout and instruction approach restructures the book from the ground up Addresses common tessellation questions, such as what types of paper are best to use, and how this art form rose in popularity Teaches the reader how to grid a sheet of paper and the importance of the pre-creases Gives the reader the ability to create and understand tessellations through scaffolded instruction Includes exercises to test understanding Introduces a new notation system for precisely describing pleat intersections Analyzes pleat intersections mathematically using geometrically-focused models, including information about brocard points
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Y Origami Explorations In Folding

Author : David C. Morgan
ISBN : 9781470436742
Genre : General -- General and miscellaneous specific topics -- Mathematics and visual arts, visualization
File Size : 45.8 MB
Format : PDF, Kindle
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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.
Category: General -- General and miscellaneous specific topics -- Mathematics and visual arts, visualization

Origami 5

Author : Patsy Wang-Iverson
ISBN : 9781439873502
Genre : Mathematics
File Size : 76.81 MB
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Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields. The fifth such meeting, 5OSME (July 13–17, 2010, Singapore Management University) followed the precedent previous meetings to explore the interdisciplinary connections between origami and the real world. This book begins with a section on origami history, art, and design. It is followed by sections on origami in education and origami science, engineering, and technology, and culminates with a section on origami mathematics—the pairing that inspired the original meeting. Within this one volume, you will find a broad selection of historical information, artists’ descriptions of their processes, various perspectives and approaches to the use of origami in education, mathematical tools for origami design, applications of folding in engineering and technology, as well as original and cutting-edge research on the mathematical underpinnings of origami.
Category: Mathematics