Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality (Dover Origami Papercraft)

Rona Gurkewitz

Bennett Arnstein

Dover Publications

This innovative book — among the first to combine the art of origami with making polyhedra-based models — shows papercrafters how to create over 60 different polyhedral from origami units. Comprised of modules made of single sheets of paper, the figures offer model builders and math students alike a stimulating entrée into the world of three-dimensional geometric origami. Origamists are initially introduced to a number of preliminary folds that will aid in constructing a variety of figures. Step-by-step instructions and clearly outlined diagrams then show how to create polyhedral ranging from a relatively simple tetrahedron and cube to such mind-boggling fabrications as the double pentagonal pyramid, a truncated hexadecahedron and the 92-faced snub dodecahedron. You'll also learn to construct these intriguing polyhedral: a stellated icosahedron, an equilateral triangle dodecahedron, and a truncated octahedron. Graded according to difficulty, these multifaceted projects will not only challenge devotees of the ancient Japanese art of paper folding but will be useful in classroom demonstrations of mathematical principles.

3-D Geometric Origami: Modular Polyhedra

Arts & Photography

Sculpture

This newly revised and enlarged book offers paperfolders, model builders, and math students alike a stimulating journey into the world of three-dimensional geometric origami. Step-by-step instructions and clearly detailed diagrams explain how to create more than 35 different modular polyhedra. The modules, each made from a single piece of paper, have points and pockets, enabling origamists to build fascinating figures by inserting the tapered ends of each module into the pockets of the adjacent modules. Unavailable elsewhere, the models in this innovative book are diverse, ranging from relatively simple modular cube and stellated octahedron to more advanced two-piece modules, a gyroscope, and even a 14-sided cuboctahedron. Graded according to difficulty, these multifaceted marvels have a style and beauty all their own and will not only challenge devotees of the ancient Japanese art of paper folding, but will also prove useful in classroom demonstrations of geometric principles.

Modular Origami Polyhedra, Revised and Enlarged Edition

Lewis, Simon

Continuing the groundbreaking work of their previous two books, the mathematician and mechanical engineer authors of this volume further strengthen the link between origami and mathematics — and expand the relationship to crystallography. Through a series of photographs, diagrams, and charts, they illustrate the correlation between the origami waterbomb base and the mathematical duality principle of Archimedean solids. Then, they show how to apply the correlation to models of the buckyball (a carbon-60 molecule resembling a soccer ball, named for R. Buckminster Fuller, designer of the geodesic dome). By the process of gyroscope transformation, origamists can transform buckyballs into more new and interesting shapes. Step-by-step instructions and clear diagrams show origami enthusiasts how to create a world of multifaceted wonders.

Crafts, Hobbies & Home

Crafts & Hobbies

Whether or not you're familiar with traditional origami models, you're sure to be captivated by the fun and fascination of creating abstract geometric forms. This book by an expert paperfolder offers a clear, concise introduction to the special techniques for making beautiful, complex polyhedra models. These 17 projects are based on the classic Platonic solids: the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Folders at every level of experience, from absolute beginners to old hands, will appreciate the step-by-step diagrams and their detailed views of the models' assembly. Additional helpful features include photos of the complete models, background on the Platonic solids, and references.

Dover Beginner's Book of Modular Origami Polyhedra: The Platonic Solids

Children's Books

Arts, Music & Photography

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Books by Bennett Arnstein