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Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. This title develops a mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments.
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.
Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics
This classic on games and how to play them intelligently is being re-issued in a new, four volume edition
Collected over several years by Peter Winkler, of Bell Labs, dozens of elegant, intriguing challenges are presented in Mathematical Puzzles
Hex Strategy is the first book to offer a comprehensive look at the game of Hex, from its history and mathematical underpinnings to discussions of advanced playing techniques
This text goes beyond folding instructions to address the implications and applications of this art. It is aimed at college teachers, mathematicians, engineers, computer scientists and physicists.
Presents step-by-step instructions and color distribution suggestions to create the more than 30 intricate designs. This book also includes a chapter featuring designs by origami artists from around the world.
In this book of mathematical stories, the well-known and highly esteemed author provides a surprisingly entertaining tour of unfamiliar territory. He describes stories about numbers, problems, people who do math, and the places where mathematical discoveries are made (such as desks, libraries, beds, and churches). You'll discover that counting can be quite difficult'for example, news reports claiming that "bees can count" show that journalists can't count and people who shun 13 must assume that gods can't count.
Suitable for both math enthusiasts and crafters, this book provides methods, design challenges, and patterns that offer a springboard for creative exploration. Experienced bead crochet crafters can skip ahead to the pattern pages and begin crocheting from an abundance of unique, mathematically inspired designs. Those wishing to design their own patterns will find many useful tools, template patterns, and a new methodology for understanding how to do so even without using math. Puzzle lovers without previous knowledge of bead crochet will also find ample inspiration for learning the craft.
Offers folding instructions for the construction of over 40 modular origami creations. This title describes how to fold the 'modules' and how to use them as building blocks to construct larger polyhedral models. It is aimed at intermediate folders, but the origami basics included at the start of the book make it accessible to beginners.
Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.
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