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Folding Polyhedra

2021-05-28
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Release : 2021-05-28
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Kind : eBook
Book Rating : 579/5 ( reviews)

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Book Synopsis Folding Polyhedra by : Alexander Heinz

Download or read book Folding Polyhedra written by Alexander Heinz. This book was released on 2021-05-28. 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

2007-07-16 Computers
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Release : 2007-07-16
Genre : Computers
Kind : eBook
Book Rating : 090/5 ( reviews)

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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. This book was released on 2007-07-16. 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

2021-10-12 Crafts & Hobbies
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Release : 2021-10-12
Genre : Crafts & Hobbies
Kind : eBook
Book Rating : 333/5 ( reviews)

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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. This book was released on 2021-10-12. 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*

A Plethora of Polyhedra in Origami

2002-01-01 Crafts & Hobbies
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Release : 2002-01-01
Genre : Crafts & Hobbies
Kind : eBook
Book Rating : 718/5 ( reviews)

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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. This book was released on 2002-01-01. 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.

How to Fold It

2011-04-25 Mathematics
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Release : 2011-04-25
Genre : Mathematics
Kind : eBook
Book Rating : 354/5 ( reviews)

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Book Synopsis How to Fold It by : Joseph O'Rourke

Download or read book How to Fold It written by Joseph O'Rourke. This book was released on 2011-04-25. Available in PDF, EPUB and Kindle. Book excerpt: What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? You can answer these questions and more through the mathematics of folding and unfolding. From this book, you will discover new and old mathematical theorems by folding paper and find out how to reason toward proofs. With the help of 200 color figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's Web site, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.

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