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Author: Ryuhei Uehara
Publisher: Springer Nature
ISBN: 9811544700
Category : Computers
Languages : en
Pages : 227
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Book Description
This book focuses on origami from the point of view of computer science. Ranging from basic theorems to the latest research results, the book introduces the considerably new and fertile research field of computational origami as computer science. Part I introduces basic knowledge of the geometry of development, also called a net, of a solid. Part II further details the topic of nets. In the science of nets, there are numerous unresolved issues, and mathematical characterization and the development of efficient algorithms by computer are closely connected with each other. Part III discusses folding models and their computational complexity. When a folding model is fixed, to find efficient ways of folding is to propose efficient algorithms. If this is difficult, it is intractable in terms of computational complexity. This is, precisely, an area for computer science research. Part IV presents some of the latest research topics as advanced problems. Commentaries on all exercises included in the last chapter. The contents are organized in a self-contained way, and no previous knowledge is required. This book is suitable for undergraduate, graduate, and even high school students, as well as researchers and engineers interested in origami.
Author: Ryuhei Uehara
Publisher: Springer Nature
ISBN: 9811544700
Category : Computers
Languages : en
Pages : 227
Get Book Here
Book Description
This book focuses on origami from the point of view of computer science. Ranging from basic theorems to the latest research results, the book introduces the considerably new and fertile research field of computational origami as computer science. Part I introduces basic knowledge of the geometry of development, also called a net, of a solid. Part II further details the topic of nets. In the science of nets, there are numerous unresolved issues, and mathematical characterization and the development of efficient algorithms by computer are closely connected with each other. Part III discusses folding models and their computational complexity. When a folding model is fixed, to find efficient ways of folding is to propose efficient algorithms. If this is difficult, it is intractable in terms of computational complexity. This is, precisely, an area for computer science research. Part IV presents some of the latest research topics as advanced problems. Commentaries on all exercises included in the last chapter. The contents are organized in a self-contained way, and no previous knowledge is required. This book is suitable for undergraduate, graduate, and even high school students, as well as researchers and engineers interested in origami.
Author: Tetsuo Ida
Publisher: Springer
ISBN: 9783319591889
Category : Computers
Languages : en
Pages : 217
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Book Description
In this book, origami is treated as a set of basic geometrical objects that are represented and manipulated symbolically and graphically by computers. Focusing on how classical and modern geometrical problems are solved by means of origami, the book explains the methods not only with mathematical rigor but also by appealing to our scientific intuition, combining mathematical formulas and graphical images to do so. In turn, it discusses the verification of origami using computer software and symbolic computation tools. The binary code for the origami software, called Eos and created by the author, is also provided.
Author: Erik D. Demaine
Publisher: Cambridge University Press
ISBN: 1107394090
Category : Computers
Languages : en
Pages : 388
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Book Description
Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
Author: Ryuhei Uehara
Publisher: Springer
ISBN: 9789811544729
Category : Computers
Languages : en
Pages : 220
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Book Description
This book focuses on origami from the point of view of computer science. Ranging from basic theorems to the latest research results, the book introduces the considerably new and fertile research field of computational origami as computer science. Part I introduces basic knowledge of the geometry of development, also called a net, of a solid. Part II further details the topic of nets. In the science of nets, there are numerous unresolved issues, and mathematical characterization and the development of efficient algorithms by computer are closely connected with each other. Part III discusses folding models and their computational complexity. When a folding model is fixed, to find efficient ways of folding is to propose efficient algorithms. If this is difficult, it is intractable in terms of computational complexity. This is, precisely, an area for computer science research. Part IV presents some of the latest research topics as advanced problems. Commentaries on all exercises included in the last chapter. The contents are organized in a self-contained way, and no previous knowledge is required. This book is suitable for undergraduate, graduate, and even high school students, as well as researchers and engineers interested in origami.
Author: Edwin A. Peraza Hernandez
Publisher: Springer
ISBN: 3319918664
Category : Technology & Engineering
Languages : en
Pages : 478
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Book Description
Origami structures have the ability to be easily fabricated from planar forms, enable the deployment of large structures from small volumes, and are potentially reconfigurable. These characteristics have led to an increased interest in theoretical and computational origami among engineers from across the world. In this book, the principles of origami, active materials, and solid mechanics are combined to present a full theory for origami structures. The focus is on origami structures morphed via active material actuation and formed from sheets of finite thickness. The detailed theoretical derivations and examples make this an ideal book for engineers and advanced students who aim to use origami principles to develop new applications in their field.
Author: Robert Hanson
Publisher: University Science Books
ISBN: 9780935702309
Category : Crafts & Hobbies
Languages : en
Pages : 244
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Book Description
Designed as a workbook and resource for students, teachers and chemists who want to create and study paper models of molecules and ions, this book includes: folding instructions; basic background information about bonding; general questions and answers; and over 60 tear-out model patterns representing basic shapes and ideas. The shapes and models are based on actual data and provided in scale.
Author: Thomas C. Hull
Publisher: Cambridge University Press
ISBN: 1108478727
Category : Art
Languages : en
Pages : 343
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Book Description
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.
Author: Satyan L. Devadoss
Publisher: Princeton University Press
ISBN: 1400838983
Category : Mathematics
Languages : en
Pages : 270
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Book Description
An essential introduction to discrete and computational geometry Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems. The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only)
Author: Patsy Wang-Iverson
Publisher: CRC Press
ISBN: 143987350X
Category : Mathematics
Languages : en
Pages : 662
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Book Description
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) fol
Author: Meher McArthur
Publisher: Tuttle Publishing
ISBN: 9780804843386
Category : Crafts & Hobbies
Languages : en
Pages : 96
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Book Description
This beautiful origami art book is a collection of the best contemporary pieces from some of the worlds most renowned papercraft artists. Thanks to pioneering masters such as Dr. Robert J. Lang, origami has transcended its humble roots as a traditional Japanese papercraft to take its place among the global fine arts. In Folding Paper: The Infinite Possibilities of Origami, Dr. Lang and Asian art curator Meher McArthur chronicle origami's remarkable evolution and showcases the widespread applications of paper folding solutions in the fields of contemporary mathematics, engineering, design, and the international peace movement. Based around a groundbreaking museum show by the same name, Folding Paper features the work of more than forty leading origami artists from around the world. It traces the development of paper folding in both the East and the West, recognizing the global influences on this international art form. Now in the early twenty-first century, origami is a sophisticated fine art form consisting of many different styles, from representational to geometric, abstract, and even conceptual. It has become a symbol of peace, an inspiration for engineers, and a conduit for scientific advancement. Featured origami artists include: Brian Chan Erik Joisel Erik and Martin Demaine Tomoko Fuse Daniel Kwan Michael LaFosse Jeannine Moseley Akira Yoshizawa Combining Dr. Lang's and McArthur's illuminating narrative history with lavish color photographs of more than sixty breathtaking works—from Joel Cooper's haunting Cyrus mask to Linda Tomoko Mihara's delicate Crane Cube to Eric Joisel's lifelike Pangolin model—Folding Paper is an enthralling introduction to the contemporary art of paper folding.
