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Too hip to be square, Geometric Origami takes the art of paper folding to stunning new heights. A sophisticated new origami kit for advanced paper-folding enthusiasts, Geometric Origami takes paper art to spectacular new levels. Fifteen intricate paper projects use specially designed strips that come with the book and include a tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron, truncated tetrahedron, cuboctahedron, icosidodecahedron, rhombic triacontahedron, snub dodecahedron, zonohedron, and buckyballs. And don't worry -- there are even a few pronounceable shapes like the egg and a geometric bracelet, plus more surprises. This beautifully designed kit gives a new perspective on geometry and the world of origami and is great fun for the entire family -- or the perfect gift for a math professor.
(source: Nielsen Book Data)

"A kusudama is a traditional Japanese sphere formed by modular origami construction techniques. This guide presents instructions for more than forty elaborate kusudama that range in shape from stars to flowers to pinwheels. Suitable for intermediate-level and experienced folders of all ages"-- Provided by publisher.
"Instructions for more than 40 kusudama origami models"-- Provided by publisher.

Tessellations--shapes repeated over and over to fill a plane without overlapping--have inspired beautiful art, from intricate tile work to M.C. Escher's playful graphics. Now, master origami artist Eric Gjerde has produced the same stunning kaleidoscopic patterns simply by folding paper! His awe-inspiring collection--the first of its kind--explores the creative possibilities of origami tessellations. The techniques will captivate anyone interested in papercrafting, mathematics, architecture, and design. Gjerde meticulously walks you through all the key folds and creases. Twenty-five projects are organized by complexity, beginning with the easy-to-learn Tiles Hexagon Tessellation and continuing to more exotic designs, like Arms of Shiva, Field of Stars, and Aztec Twist. Each one appears in extremely close-up photos (sometimes backlit) and an inspiring gallery of breathtaking tessellations by origami artists concludes the book.
(source: Nielsen Book Data)
Explore geometry and tilings through the art of origami! The simple beauty of repeating geometric patterns - used in art and architecture for centuries - is introduced to the world of folding paper in this first book of its kind to be published. This book provides the fundamentals of origami tessellations - including techniques unique to tessellation folding - as well as step-by-step instructions for 25 origami tessellation projects. This book can be enjoyed by beginners, intermediate folders, and expert origamists.
(source: Nielsen Book Data)

Explore the far edges of what's possible with "the new origami." The objects are fantastic, but the folding techniques use simple triangles and squares, pyramids, and cubes. Master spiral designs, multi-pointed stars, 9-sided gift boxes, and 12-sided gyroscopic whirligigs. More elaborate designs invite you into the outer-space world of stars with starbeams and 8-sided flying saucers, whimsical crows in the grass, gorgeous nested boxes, and sculptured gift containers. .
(source: Nielsen Book Data)

• Origami, yesterday and today. Sacral art. Folk art. New trends
• Before the folding starts. Choosing the paper. Folding correctly. Symbols. Combination folds
• Basic form I. Dragonfly. Squirrel
• Basic form II. Turtle. Crane
• Basic form III. Peacock. Rooster. Hen
• Basic form IV. Hare. Marten
• Basic form V. Elephant. Mouse
• Basic form VI. Snail. Raven. Rhinoceros
• Basic form VII. Horse. Cow. Camel
• Basic form VIII. Fish. bat. owl. swan
• Basic form IX. Crocodile. Pigeon
• Basic form X. Rose. Spider.

Through a sequence of folds, without cutting or gluing, make more than two dozen figures based on ten basic forms, including a squirrel, crane, peacock, elephant, snail, camel, crocodile, and spider. Sequential illustrations will walk you through each fold. 80 pages (all in color), 8 1/4 x 10 1/4.
(source: Nielsen Book Data)
Through a sequence of folds, without cutting or gluing, make a menagerie of more than two dozen animals ranging from a simple and graceful dragonfly to a camel. All it takes is a few square pieces of paper and this all-colour, best-selling, essential primer to the ancient art of origami. Detailed photographs and sequential illustrations walk beginners through each of the ten basic forms, and help them experience the challenge and creative pleasure of fashioning a crane, peacock, squirrel, elephant, rhinoceros, crocodile, spider, snail, fish, and other creatures. All the traditional rules of this classic craft are obeyed here, and there's valuable advice on choosing the paper, folding correctly, making combination folds, and reading the symbols in the instructions.
(source: Nielsen Book Data)

• Introduction-- Part I. Geometric Constructions:
• 1. Examples and basic folds--
• 2. Solving equations via folding--
• 3. Origami algebra--
• 4. Beyond classic origami-- Part II. The Combinatorial Geometry of Flat Origami:
• 5. Flat vertex folds: local properties--
• 6. Multiple-vertex flat folds: global properties--
• 7. Counting flat folds--
• 8. Other flat folding problems-- Part III. Algebra, Topology, and Analysis in Origami:
• 9. Origami homomorphisms--
• 10. Folding manifolds--
• 11. An analytic approach to isometric foldings-- Part IV. Non-Flat Folding:
• 12. Rigid origami--
• 13. Rigid foldings--
• 14. Rigid origami theory-- References-- Index.
• (source: Nielsen Book Data)

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.
(source: Nielsen Book Data)

• Table of Contents Introduction Building Blocks Elephant Design Traditional Bases Folding Instructions Stealth Fighter. Snail. Valentine. Ruby-Throated Hummingbird. Baby. Splitting Points Folding Instructions Pteranodon. Goatfish. Grafting Folding Instructions Songbird
• 1. KNL Dragon. Lizard. Tree Frog. Dancing Crane. Pattern Grafting Folding Instructions Turtle. Western Pond Turtle. Koi. Tiling Folding Instructions Pegasus Circle Packing Folding Instructions Emu. Songbird
• 2. Molecules Folding Instructions Orchid Blossom. Silverfish. Tree Theory Folding Instructions Alamo Stallion. Roosevelt Elk. Box Pleating Folding Instructions Organist. Black Forest Cuckoo Clock. Uniaxial Box Pleating Folding Instructions Bull Moose Polygon Packing Crease Patterns Flying Walking Stick. Salt Creek Tiger Beetle. Longhorn Beetle. Camel Spider. Water Strider. Scarab Beetle. Cicada Nymph. Scarab HP. Cyclomatus metallifer. Scorpion HP. Euthysanius Beetle. Spur-Legged Dung Beetle. Hybrid Bases Folding Instructions African Elephant References Glossary of Terms Index.
• (source: Nielsen Book Data)

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.
(source: Nielsen Book Data)

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 the centuries-old art of origami.
(source: Nielsen Book Data)

• Introduction. Simple Cubes. Four-Sink Base Models. Folding with Pentagons. Miscellaneous. A Collection of Models by Guests.
• (source: Nielsen Book Data)

This handsome book is aimed towards those with an intermediate skill level, but the origami basics included at the start of the book make it accessible to beginners. A number of beautiful models are offered, ranging from cubes to prisms to dodecahedra. As with the author's two previous books, Origami Inspirations provides step-by-step instructions and color distribution suggestions to create the more than 30 intricate designs presented. The book also includes a chapter featuring designs by origami artists from around the world, and these projects provide a happy complement to the author's own exciting inspirations in the rest of the book.
(source: Nielsen Book Data)

• 1. A point opens the door to origamics. 1.1. Simple questions about origami. 1.2. Constructing a pythagorean triangle. 1.3. Dividing a line segment into three equal parts using no tools. 1.4. Extending toward a generalization
• 2. New folds bring out new theorems. 2.1. Trisecting a line segment using Haga's second theorem field. 2.2. The position of point F is interesting. 2.3. Some findings related to Haga's third theorem fold
• 3. Extension of the Haga's theorems to silver ratio rectangles. 3.1. Mathematical adventure by folding a copy paper. 3.2. Mysteries revealed from horizontal folding of copy paper. 3.3. Using standard copy paper with Haga's third theorem
• 4. X-lines with lots of surprises. 4.1. We begin with an arbitrary point. 4.2. Revelations concerning the points of intersection. 4.3. The center of the circumcircle! 4.4. How does the vertical position of the point of inter
• section vary? 4.5. Wonders still continue. 4.6. Solving the riddle of "[symbol]". 4.7. Another wonder
• 5. "Intrasquares" and "extrasquares". 5.1. Do not fold exactly into halves. 5.2. What kind of polygons can you get? 5.3. How do you get a triangle or a quadrilateral? 5.4. Now to making a map. 5.5. This is the "scientific method". 5.6. Completing the map. 5.7. We must also make the map of the outer subdivision. 5.8. Let us calculate areas
• 6. A petal pattern from hexagons. 6.1. The origamics logo. 6.2. Folding a piece of paper by concentrating the four vertices at one point. 6.3. Remarks on polygonal figures of type n. 6.4. An approach to the problem using group study. 6.5. Reducing the work of paper folding; one eighth of the square will do. 6.6. Why does the petal pattern appear? 6.7. What are the areas of the regions?
• 7. Heptagon regions exist? 7.1. Review of the folding procedure. 7.2. A heptagon appears! 7.3. Experimenting with rectangles with different ratios of sides. 7.4. Try a rhombus
• 8. A wonder of eleven stars. 8.1. Experimenting with paper folding. 8.2. Discovering. 8.3. Proof. 8.4. Morer revelations regarding the intersections of the extensions of the creases. 8.5. Proof of the observation on the intersection points of extended edge-to-line creases. 8.6. The joy of discovering and the excitement of further searching
• 9. Where to go and whom to meet. 9.1. An origamics activity as a game. 9.2. A scenario: a princess and three knights? 9.3. The rule: one guest at a time. 9.4. Cases where no interview is possible. 9.5. Mapping the neighborhood. 9.6. A flower pattern or an insect pattern. 9.7. A different rule: group meetings. 9.8. Are there areas where a particular male can have exclusive meetings with the female? 9.9. More meetings through a "hidden door"
• 10. Inspiration from rectangular paper. 10.1. A scenario: the stern king of Origami Land. 10.2. Begin with a simpler problem: how to divide the rectangle horizontally and vertically into 3 equal parts. 10.3. A 5-parts division point; the pendulum idea helps. 10.4. A method for finding a 7-parts division point. 10.5. The investigation continues: try the pendulum idea on the 7-parts division method. 10.6. The search for 11-parts and 13-parts division point. 10.7. Another method for finding 11-parts and 13-parts division points. 10.8. Continue the trend of thought: 15-parts and 17-parts division points. 10.9. Some ideas related to the ratios for equal-parts division based on similar triangles. 10.10. Towards more division parts. 10.11. Generalizing to all rectangles.

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.

• A Point Opens the Door to Origamics-- New Folds Bring Out New Theorems-- Extension of the Haga's Theorems to Silver Ratio Rectangles-- X-Lines with Lots of Surprises-- A"IntrasquaresA" and A"ExtrasquaresA"-- A Petal Pattern from Hexagons?-- Heptagon Regions Exist?-- A Wonder of Eleven Stars-- Where to Go and Whom to Meet-- Inspiration of Rectangular Paper.
• (source: Nielsen Book Data)

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.
(source: Nielsen Book Data)

• 1. Origami history, art, and design
• 2. Origami in education
• 3. Origami science, engineering, and technology
• 4. Mathematics of origami.

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.
(source: Nielsen Book Data)

This title contains select contributions from the Fourth International Conference on Origami in Science, Mathematics, and Education (4OSME), held September 8-10, 2006, in Pasadena, CA (sponsored by OrigamiUSA, in collaboration with the California Institute of Technology). The conference has been held approximately once every five years (since the first one in 1989), and it focuses on the mathematics of origami and applications of origami in the sciences.
(source: Nielsen Book Data)

• pt.
• 1. Mathematics of origami
• pt.
• 2. Origami science and applications
• pt.
• 3. Origami in education

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.
(source: Nielsen Book Data)