Folding Polyhedra

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Folding Polyhedra

Author : Alexander Heinz
Publisher :
ISBN 13 : 9780764361579
Total Pages : 192 pages
Book Rating : 4.3/5 (615 download)

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Book Synopsis Folding Polyhedra by : Alexander Heinz

Download or read book Folding Polyhedra written by Alexander Heinz and published by . This book was released on 2021-05-28 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the reaches of your imagination by combining art, craft, and mathematics to create the age-old geometric form of the polyhedra. More than 50 projects use just one center point to create shapes that are folded symmetrically and build upon each other. With easy-to-follow, step-by-step instructions, you can construct models from regular polygons, including equilateral triangles, squares, pentagons, hexagons, octagons, and decagons. These engaging projects require active, mental participation and can aid in reshaping familiar thought patterns as well as keeping your focus on the present moment as a form of relaxation. Also included is a wealth of detail on the subject of geometry. Once a requirement for entry into the philosopher Plato's Academy, now geometry can be enjoyed by everyone with an eye for fun. The book includes a chapter of tips to create your own designs.

Geometric Folding Algorithms

Author : Erik D. Demaine
Publisher : Cambridge University Press
ISBN 13 : 1107394090
Total Pages : 388 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Geometric Folding Algorithms by : Erik D. Demaine

Download or read book Geometric Folding Algorithms written by Erik D. Demaine and published by Cambridge University Press. This book was released on 2007-07-16 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.

The Complete Book of Origami Polyhedra

Author : Tomoko Fuse
Publisher : Tuttle Publishing
ISBN 13 : 1462922333
Total Pages : 101 pages
Book Rating : 4.4/5 (629 download)

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Book Synopsis The Complete Book of Origami Polyhedra by : Tomoko Fuse

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*

Polyhedra

Author : Peter R. Cromwell
Publisher : Cambridge University Press
ISBN 13 : 9780521664059
Total Pages : 498 pages
Book Rating : 4.6/5 (64 download)

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Book Synopsis Polyhedra by : Peter R. Cromwell

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.

A Plethora of Polyhedra in Origami

Author : John Montroll
Publisher : Courier Corporation
ISBN 13 : 9780486422718
Total Pages : 124 pages
Book Rating : 4.4/5 (227 download)

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Book Synopsis A Plethora of Polyhedra in Origami by : John Montroll

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.

Beginner's Book of Modular Origami Polyhedra

Author : Rona Gurkewitz
Publisher : Courier Corporation
ISBN 13 : 0486132188
Total Pages : 66 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Beginner's Book of Modular Origami Polyhedra by : Rona Gurkewitz

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.

A Constellation of Origami Polyhedra

Author : John Montroll
Publisher : Courier Corporation
ISBN 13 : 9780486439587
Total Pages : 124 pages
Book Rating : 4.4/5 (395 download)

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Book Synopsis A Constellation of Origami Polyhedra by : John Montroll

Download or read book A Constellation of Origami Polyhedra written by John Montroll and published by Courier Corporation. This book was released on 2004 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the simple Triangular Diamond and the Tower to the more advanced Cuboctahedron and the magnificent Stella Octangular, 30 multifaceted marvels will not only challenge devotees of the ancient Japanese art of paperfolding but will also appeal to students and others interested in math and geometry.

Mind-Blowing Modular Origami

Author : Byriah Loper
Publisher : Tuttle Publishing
ISBN 13 : 1462917712
Total Pages : 99 pages
Book Rating : 4.4/5 (629 download)

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Book Synopsis Mind-Blowing Modular Origami by : Byriah Loper

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!

Modular Origami Polyhedra

Author : Lewis Simon
Publisher : Courier Corporation
ISBN 13 : 0486137848
Total Pages : 68 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Modular Origami Polyhedra by : Lewis Simon

Download or read book Modular Origami Polyhedra written by Lewis Simon and published by Courier Corporation. This book was released on 2012-03-08 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Step-by-step instructions, diagrams for creating 35 different polyhedra from origami units — from simple modular cubes to a 14-sided cuboctahedron!

3-D Geometric Origami

Author : Rona Gurkewitz
Publisher : Courier Corporation
ISBN 13 : 0486135608
Total Pages : 79 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis 3-D Geometric Origami by : Rona Gurkewitz

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.

Origami Polyhedra Design

Author : John Montroll
Publisher : CRC Press
ISBN 13 : 143987106X
Total Pages : 304 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Origami Polyhedra Design by : John Montroll

Download or read book Origami Polyhedra Design written by John Montroll and published by CRC Press. This book was released on 2009-10-26 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube,

A History of Folding in Mathematics

Author : Michael Friedman
Publisher : Birkhäuser
ISBN 13 : 3319724878
Total Pages : 430 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis A History of Folding in Mathematics by : Michael Friedman

Download or read book A History of Folding in Mathematics written by Michael Friedman and published by Birkhäuser. This book was released on 2018-05-25 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.

The Geometry of Wholemovement

Author : Bradford Hansen-Smith
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Geometry of Wholemovement by : Bradford Hansen-Smith

Download or read book The Geometry of Wholemovement written by Bradford Hansen-Smith and published by . This book was released on 1999 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Geometry Code

Author : Bruce Rawles
Publisher : Elysian Publishing
ISBN 13 : 9780965640572
Total Pages : 218 pages
Book Rating : 4.6/5 (45 download)

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Book Synopsis The Geometry Code by : Bruce Rawles

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.

Compound Polyhedra

Author : Fergus Currie
Publisher : Tarquin Group
ISBN 13 : 9781913565732
Total Pages : 148 pages
Book Rating : 4.5/5 (657 download)

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Book Synopsis Compound Polyhedra by : Fergus Currie

Download or read book Compound Polyhedra written by Fergus Currie and published by Tarquin Group. This book was released on 2021-10-11 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: A book of ten geometric models of advanced modular origami designed by Fergus Currie with full instructions and diagrams on how to make the following: 1. Compound of Cube and Octahedron 2. Compound of Icosahedron and Dodecahedron 3. The Small Triambic Icosahedron 4. Compound of Small Triambic Icosahedron and Dodechedron 5. Left Pentagonal Icosatetrahedron 6. Compound of Left and Right Pentagonal Icosatetrahedra 7. Compound of Three Cubes 8. Compound of Three Tetrahedra 9. Compound of Five Octahedra 10. Wire-frame model of Compound of Two Tetrahedra It also includes an introduction with sections on the mathematics behind the models; a short history of modular origami; a section on tools and folding techniques, and a gallery of the finished models that are presented in the book.

Active Origami

Author : Edwin A. Peraza Hernandez
Publisher : Springer
ISBN 13 : 3319918664
Total Pages : 478 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Active Origami by : Edwin A. Peraza Hernandez

Download or read book Active Origami written by Edwin A. Peraza Hernandez and published by Springer. This book was released on 2018-07-12 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Origami structures have the ability to be easily fabricated from planar forms, enable the deployment of large structures from small volumes, and are potentially reconfigurable. These characteristics have led to an increased interest in theoretical and computational origami among engineers from across the world. In this book, the principles of origami, active materials, and solid mechanics are combined to present a full theory for origami structures. The focus is on origami structures morphed via active material actuation and formed from sheets of finite thickness. The detailed theoretical derivations and examples make this an ideal book for engineers and advanced students who aim to use origami principles to develop new applications in their field.

Tomoko Fuse's Origami Art

Author : Tomoko Fuse
Publisher : Tuttle Publishing
ISBN 13 : 1462921639
Total Pages : 224 pages
Book Rating : 4.4/5 (629 download)

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Book Synopsis Tomoko Fuse's Origami Art by : Tomoko Fuse

Download or read book Tomoko Fuse's Origami Art written by Tomoko Fuse and published by Tuttle Publishing. This book was released on 2020-05-19 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tomoko Fuse has been one of the world's premier origami artists for more than 35 years. This beautifully photographed book examines the three-dimensional geometric designs she is famous for. Fuse, often referred to as "the queen of origami," discovered the art of folding paper at just seven years old. She has come a long way since then, having had her work highlighted in exhibitions around the world, including Paris Origami (Carrousel du Louvre, 1998), On Paper (Crafts Council London, 2002) and her solo show Yorokobi (Bauhaus Dessau, 2004). In addition to teaching, folding and writing, she also collaborated with designer Denis Guidone for Milan Design Week 2018 and was a featured artist in Nova's episode "The Origami Revolution" (February, 2017). An artistic anthology of her most impressive work, Tomoko Fuse's Origami Art can serve multiple purposes: as inspiration for an experienced origami folder; as a truly impressive coffee table book for the artistically-minded; or as a push for intermediate folders to try their hand at modular origami models.