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| Author | : John Montroll |
| Publisher | : |
| Total Pages | : 120 |
| Release | : 2018-07-20 |
| Genre | : Crafts & Hobbies |
| ISBN | : 9781877656354 |
Polyhedra are incredibly beautiful shapes. Illustrated step-by-step diagrams show how to fold a collection of around 30 models including the five Platonic Solids, sunken versions of each, models with color patterns, variations on Archimedean Solids, and more. Each model is folded from a single uncut square. They range from simple to complex.
| Author | : Rona Gurkewitz |
| Publisher | : Courier Corporation |
| Total Pages | : 66 |
| Release | : 2012-03-07 |
| Genre | : Crafts & Hobbies |
| ISBN | : 0486132188 |
This manual features 17 easy-to-master projects involving the Platonic solids: the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Includes detailed diagrams and photos of all the completed models.
| Author | : Rona Gurkewitz |
| Publisher | : Courier Corporation |
| Total Pages | : 79 |
| Release | : 2012-07-16 |
| Genre | : Crafts & Hobbies |
| ISBN | : 0486135608 |
Innovative, challenging book provides instructions, diagrams for creating polyhedra models — from the relatively simple tetrahedron to the mind-boggling truncated hexadecahedron.
| Author | : Sunil Tanna |
| Publisher | : CreateSpace |
| Total Pages | : 82 |
| Release | : 2014-10-26 |
| Genre | : |
| ISBN | : 9781503084858 |
This book is a guide to the 5 Platonic solids (regular tetrahedron, cube, regular octahedron, regular dodecahedron, and regular icosahedron). These solids are important in mathematics, in nature, and are the only 5 convex regular polyhedra that exist. Topics covered include: What the Platonic solids are The history of the discovery of Platonic solids The common features of all Platonic solids The geometrical details of each Platonic solid Examples of where each type of Platonic solid occurs in nature How we know there are only five types of Platonic solid (geometric proof) A topological proof that there are only five types of Platonic solid What are dual polyhedrons What is the dual polyhedron for each of the Platonic solids The relationships between each Platonic solid and its dual polyhedron How to calculate angles in Platonic solids using trigonometric formulae The relationship between spheres and Platonic solids How to calculate the surface area of a Platonic solid How to calculate the volume of a Platonic solid Also included is a brief introduction to some other interesting types of polyhedra - prisms, antiprisms, Kepler-Poinsot polyhedra, Archimedean solids, Catalan solids, Johnson solids, and deltahedra. Some familiarity with basic trigonometry and very basic algebra (high school level) will allow you to get the most out of this book - but in order to make this book accessible to as many people as possible, it does include a brief recap on some necessary basic concepts from trigonometry.
| Author | : Byriah Loper |
| Publisher | : Tuttle Publishing |
| Total Pages | : 99 |
| Release | : 2016-10-11 |
| Genre | : Crafts & Hobbies |
| ISBN | : 1462917712 |
Modular origami is the latest craze in paper folding! These three-dimensional models are created from a number of small pieces of paper that are easily folded and then cleverly fit together to form a spectacular shape. They range from paper polyhedra to bristling buckyballs that are reminiscent of sea urchins--to ornate flower-like spheres. Each piece of paper is held by the tension of the other papers--demonstrating the remarkable hidden properties of paper, which is at the same time flexible but also strong! Author Byriah Loper has been creating modular origami sculptures for just five years, but in that time, he's pushed the upper limits of the art form with some of the largest, most complex geometric paper constructions ever assembled. While many geo-modular origami artists focus on creating dense floral spheres, Byriah has pioneered the open, linear "wire frame" approach, which results in a very complex-looking model that reveals the interior of its form. He exhibits his sculptures annually at the Origami USA convention in New York, and was recently a featured artist at the "Surface to Structure" exhibition at the Cooper Union gallery in the East Village. A great way to learn origami, the easy-to-follow diagrams and step-by-step instructions in this book show you how to fold the paper components and then assemble them to create 22 incredible models. Each model is a new challenge, and the paper sculptures you create look fantastic on your desk or shelf!
| Author | : |
| Publisher | : Bloomsbury Publishing USA |
| Total Pages | : 68 |
| Release | : 2002-04-01 |
| Genre | : Mathematics |
| ISBN | : 0802713866 |
Looks at the relationship between the five Platonic and thirteen Archimedean solids.
| Author | : Tomoko Fuse |
| Publisher | : Tuttle Publishing |
| Total Pages | : 101 |
| Release | : 2021-10-12 |
| Genre | : Crafts & Hobbies |
| ISBN | : 1462922333 |
Learn to fold incredible geometric origami models from "The Queen of Modular Origami!" In this book, Tomoko Fuse--Japan's most famous living origami artist--shows you how to create amazing polyhedral models using the techniques of modular origami (where many paper sheets are folded then locked together without glue or tape). Make 64 intriguing modular models, including: Stackable Modules--The perfect starting point for novices, these simple constructions result in stunning three-dimensional forms 3-D Stars--Dazzling decorative starbursts that look great on a Christmas tree, on your mantle--or even in an art gallery Manifold Modulars--"Inception-like" models in which individual modular constructions themselves become modules within a larger piece Cubes and Boxes--Perfect for gift giving--and there is no finer teacher for these than renowned origami box specialist Tomoko Fuse And many more! *Recommended for experienced folders and up*
| Author | : Bruce Rawles |
| Publisher | : Elysian Publishing |
| Total Pages | : 218 |
| Release | : 2012-04 |
| Genre | : Geometry |
| ISBN | : 9780965640572 |
Integrate practical insights from modern physics, ancient Hermetic Laws, non-dual meta-physics, transpersonal psychology, and humor, as tools for undoing conflicting beliefs we've dreamed ourselves into. The seven Hermetic laws are explored in depth and demonstrate how a mindfulness that embraces 'other' as 'self' can reverse the typical misapplication of these inescapable laws of Mentalism, Correspondence, Vibration, Polarity, Rhythm, Cause & Effect and Generation. Ubiquitous geometric symbols, paired to each of these laws - the circle, vesica piscis, sine wave, line, spiral, fractal and yin-yang - and their countless commonplace variations, seen from the vantage point of shared interests, reflect these ideas. The inspired use of natural law restores attributes of life, love, strength, purity, beauty, perfection and gratitude to our awareness.
| Author | : Jeanine Meyer |
| Publisher | : World Scientific |
| Total Pages | : 250 |
| Release | : 2020-11-17 |
| Genre | : Crafts & Hobbies |
| ISBN | : 9811219451 |
Find out More Origami with Explanations: Fun with Folding and MathOrigami, paper folding, originated hundreds of years ago in China and Japan, with independent discovery and activity across the world. The most familiar origami models are the crane and the flapping bird. This book will introduce you to origami, starting with a jumping frog and including traditional and modern models. Carefully written instructions, using photos and diagrams, will show you the main origami bases, turn you into a successful folder and stimulate your own creativity. Explanations will include attention to spatial relations, geometry, algebra, and pattern finding. The explanations provide insight into the origami while the folding will help your understanding of mathematics.
| Author | : Henry Segerman |
| Publisher | : JHU Press |
| Total Pages | : 201 |
| Release | : 2016-10-04 |
| Genre | : Mathematics |
| ISBN | : 1421420368 |
The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.
