Download or read book 3D Origami Platonic Solids More written by John Montroll and published by . This book was released on 2018-07-20 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Beginner s Book of Modular Origami Polyhedra written by Rona Gurkewitz and published by Courier Corporation. This book was released on 2012-03-07 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book 3 D Geometric Origami written by Rona Gurkewitz and published by Courier Corporation. This book was released on 2012-07-16 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: Innovative, challenging book provides instructions, diagrams for creating polyhedra models — from the relatively simple tetrahedron to the mind-boggling truncated hexadecahedron.
Download or read book Mind Blowing Modular Origami written by Byriah Loper and published by Tuttle Publishing. This book was released on 2016-10-11 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!
Download or read book Platonic Archimedean Solids written by and published by Bloomsbury Publishing USA. This book was released on 2002-04-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looks at the relationship between the five Platonic and thirteen Archimedean solids.
Download or read book The Complete Book of Origami Polyhedra written by Tomoko Fuse and published by Tuttle Publishing. This book was released on 2021-10-12 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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*
Download or read book A Plethora of Polyhedra in Origami written by John Montroll and published by Courier Corporation. This book was released on 2002-01-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Step-by-step instructions and 970 clear diagrams show beginning and experienced paperfolders how to create 27 amazing polyhedra from one sheet of paper. Graded according to difficulty, the projects range from a simple cube, tetrahedron and octahedron to a challenging rhombic dodecahedron, sunken icosahedron, and an antidiamond with pentagonal base.
Download or read book Multimodular Origami Polyhedra written by Rona Gurkewitz and published by Courier Corporation. This book was released on 2012-03-08 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the link between paperfolding and mathematics with this unique, well-illustrated guide to creating a world of multifaceted wonders that draws on elements of crystallography. Detailed instructions, clear diagrams.
Download or read book Origami With Explanations Fun With Folding And Math written by Jeanine Meyer and published by World Scientific. This book was released on 2020-11-17 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Amazing Origami written by Kunihiko Kasahara and published by Sterling Publishing Company, Inc.. This book was released on 2002 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: This intriguing mixture of art and geometry will excite both your creativity and your curiosity. Out from under your fingers will come strikingly exquisite forms: wish on your own handmade shooting star, all silvery, golden, or fiery red; “grow” pretty pink paper cherry blossoms (symbol of Japan, home of origami), and build pyramids, cubic modules, and other dimensional figures.
Download or read book The Geometry Code written by Bruce Rawles and published by Elysian Publishing. This book was released on 2012-04 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Euler s Gem written by David S. Richeson and published by Princeton University Press. This book was released on 2019-07-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
Download or read book Visualizing Mathematics with 3D Printing written by Henry Segerman and published by JHU Press. This book was released on 2016-10-04 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Amazing Math written by Sunil Tanna and published by CreateSpace. This book was released on 2014-10-26 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Symmetry written by Kristopher Tapp and published by Springer Nature. This book was released on 2021-08-28 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.
Download or read book Polyhedra written by Peter R. Cromwell and published by Cambridge University Press. This book was released on 1997 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics an d group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra, and presenting a rigorous treatment of the mathematics involved. It is attractively illustrated with dozens of diagrams to illustrate ideas that might otherwise prove difficult to grasp. Historians of mathematics, as well as those more interested in the mathematics itself, will find this unique book fascinating.
Download or read book The Secret of the Universe written by Johannes Kepler and published by . This book was released on 1981 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
