Origami Explorations

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.

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 Explorations: Fun and Simple Projects for Beginners invites newcomers to embark on a delightful journey into the captivating world of origami. With a collection of engaging projects tailored for beginners, this book offers a perfect blend of fun and learning. From classic designs to modern twists, each project is thoughtfully crafted to provide an enjoyable experience while mastering fundamental folding techniques. With clear step-by-step instructions and colorful illustrations, even those new to origami can easily create charming paper creations. Whether you're folding a traditional crane or crafting a whimsical animal, each project sparks curiosity and encourages creative exploration. Join the adventure and discover the joy of origami with Origami Explorations.

Space probes, self-assembling robots, crash-absorbing cars, and designer proteins all have one thing in common: their use of folding technologies. To develop these technologies, engineers are taking inspiration from an unusual source—origami, the ancient art of paper folding. Examine origami's origins, how it intersects with mathematics, and how it became a tool to solve some of the most complicated challenges in engineering, architecture, technology, and medicine today. Plus, get a close-up look at these technologies with two augmented reality images included in the book!

Find out Origami with Explanations: Fun with Folding and MathOrigami, paper folding, originated hundreds of years ago in China and Japan, with independent discovery across the world. Today people do origami, create new models, share their work, and discover mathematical principles. This book continues the approach of Origami with Explanations; but is independent, with basic instructions repeated. Carefully written instructions, using photos and diagrams, will turn you into a successful folder and stimulate your own creativity. The models in this book include action models, money folds, beautiful and useful containers, and modular origami. Mathematics topics touched on include improving estimates, tessellations, mathematical induction, flat-foldability, and fold-and-cut. The Explanations section provide insight into the origami and introduce or re-introduce you to basic and advanced subjects in mathematics.

Enjoy a flood of paper folding with this origami kit! The account of Noah’s ark is more than just a powerful reminder of divine power—it is a classic story cherished by children and adults alike. The imagery of all the Earth’s creatures uniting in pairs on a single vessel has captivated readers over the millennia, and now that imagery comes to life with Noah’s Ark Origami. Complete with an in-depth account of Noah’s ark that includes historical information and maps, this entertaining kit also contains 30 sheets of 4” x 4” paper, 40 sheets of 6” x 6” paper, and 30 sheets of 8” x 8” paper so that each animal can be crafted to scale. The 112-page book is perfect for both Bible students and animal lovers, with easy-to-follow instructions for folding Noah, his wife, and ten pairs of animals. Plus, die-cut board pieces create a 3-D ark, perfect for housing your origami menagerie. Sure to unfold hours of enjoyment, Noah’s Ark Origami is a paper-folding collection of biblical proportions.

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.

Provide exciting, enriching learning experiences for gifted students through proven strategies from master teachers! With contributions from experienced educators, this book helps elementary school teachers use creative methods to enhance gifted students’ learning and stimulate higher-level thinking, discovery, and invention. Linked to curriculum standards, the numerous ready-to-use strategies, activities, and examples help teachers: Inspire students in reading, writing, social studies, mathematics, science, and the arts Tie creative processes to learning outcomes Incorporate technology into instruction where appropriate Encourage students to explore new avenues for thinking and learning