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"Supporting critical, ethical and global thinking."
"Supporting critical, ethical and global thinking."
Explore the links between mathematics and origami and discover some of the many ways its potential is being explored to find solutions to problems in science and technology.
Classic Polyhedra Origami by
Step-by-step instructions and two-color diagrams show beginning and more experienced paperfolders how to create 33 variations on the three-dimensional geometric forms known as polyhedra. Origami master John Montroll presents a variety of classic polyhedra models, including Platonic and Archimedean solids; the tetrahedron; the cube, the octahedron, and other prisms; and the dodecahedron.
Roses, Origami and Math by
With an innovative and exciting approach to paper craft, ROSES, ORIGAMI & MATH stretches this ancient art to the limits. Designed for the classroom, this book uses advanced paper folding theory to reveal fundamental mathematical problems. The book is divided into three sections with increasing degrees of difficulty: The first chapter focuses on blocks and is designed to help the reader understand symmetry. Once mastered, solving the mathematical questions of origami should be easier. From the simple blocks, cherry blossoms, small houses, churches, and even a Greek temple can be created. The second chapter goes on to explain techniques such as twist folding and stereoscopic twist folding that are used for making roses and are the basis for flat folding and crystal folding. Finally, in the third chapter Kawasaki introduces the mathematics of origami. He explains it as an element of geometry that most readers learned in junior high school. Each section has exercises to help the reader better understand the mathematics of origami. Instructions are included for creating the author's masterpiece, the Kawasaki Rose Series. Fully illustrated with clear, step-by-step instructions, this book is fun and filled with useful techniques for mathematics education and for the ambitious layperson.
Origami and Math by
Paperfolders at every level of expertise will appreciate this original compilation of models inspired by mathematical principles. Origami master John Montroll presents 39 projects, each made from a single square sheet of paper. Models range from the simplicity of a triangle to highly complex cubicles and other geometric shapes. Montroll, who is noted for meticulously developed folding sequences that result in better models with fewer steps, provides detailed instructions and diagrams. He also discusses techniques for dividing paper into fractions, folding to any location on the edge of the square, and using mathematics to attain precision in folding animal models, including camels and elephants. Other models include a collection of polygons, 2-D and 3-D models that employ pentagonal symmetry, and eight chessboards of increasing complexity.
Folding Tech by
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!
Includes a history of the study of the mathematical properties of origami.
This link opens in a new windowTo find information on the mathematics of origami go to ~
Chapter 3: The Language of Folding in Origami Math in Folding Tech by Karen Latchana Kenney