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Author: Peter R. Cromwell
Publisher: Cambridge University Press
ISBN: 9780521664059
Category : Mathematics
Languages : en
Pages : 498
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Book Description
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.
Author: Peter R. Cromwell
Publisher: Cambridge University Press
ISBN: 9780521664059
Category : Mathematics
Languages : en
Pages : 498
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Book Description
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.
Author: Magnus J. Wenninger
Publisher: Cambridge University Press
ISBN: 9780521098595
Category : Mathematics
Languages : en
Pages : 224
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Book Description
he author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms.
Author: A.D. Alexandrov
Publisher: Springer Science & Business Media
ISBN: 9783540231585
Category : Mathematics
Languages : en
Pages : 562
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Book Description
This classic geometry text explores the theory of 3-dimensional convex polyhedra in a unique fashion, with exceptional detail. Vital and clearly written, the book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. This edition includes a comprehensive bibliography by V.A. Zalgaller, and related papers as supplements to the original text.
Author: David S. Richeson
Publisher: Princeton University Press
ISBN: 0691191999
Category : Mathematics
Languages : en
Pages : 336
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Book Description
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.
Author: A.D. Alexandrov
Publisher: Springer Science & Business Media
ISBN: 3540263403
Category : Mathematics
Languages : en
Pages : 545
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Book Description
This classic geometry text explores the theory of 3-dimensional convex polyhedra in a unique fashion, with exceptional detail. Vital and clearly written, the book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. This edition includes a comprehensive bibliography by V.A. Zalgaller, and related papers as supplements to the original text.
Author: David W. Barnette
Publisher: American Mathematical Soc.
ISBN: 1470457172
Category : Mathematics
Languages : en
Pages : 168
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Book Description
Author: Anthony Pugh
Publisher: Univ of California Press
ISBN: 9780520029262
Category : Mathematics
Languages : en
Pages : 136
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Book Description
Author: Marc De Graef
Publisher: Cambridge University Press
ISBN: 0521651514
Category : Science
Languages : en
Pages : 799
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Book Description
Highly illustrated, self-contained textbook covering the fundamentals of crystallography, symmetry and diffraction, providing a full appreciation of material structure for advanced undergraduate or graduate courses within materials science and engineering. Includes over 430 illustrations and 400 homework problems. Solutions, data files for crystal structures, and appendices, available from www.cambridge.org/9780521651516.
Author: Miyuki Kawamura
Publisher: Tuttle Publishing
ISBN: 1462924700
Category : Crafts & Hobbies
Languages : en
Pages : 104
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Book Description
Ingenious geometric models from Japan's leading designer of polyhedral origami! Origami Polyhedra for Beginners puts a new spin on the ancient art of paper folding, opening the door to a world filled with beautiful geometric shapes. In this book, Miyuki Kawamura, a master of polyhedral origami, shows you how to create 55 different models using squares of brightly-colored paper. Modular origami models are created using multiple sheets of paper that are folded and then locked together without the use of glue or tape. Clear step-by-step instructions for each model are provided. These amazing creations will captivate everyone who sees them! The models in this book are surprisingly easy to make, and include: Building Blocks and Tiles which can be stacked and combined Striking Pyramids, Cubes, Stars and Spheres Dramatic polyhedral "Wireframes" and "Skeletons" with open latticework Star-shaped Icosahedrons that look like they belong on a Christmas tree Playful Windmills, Water Wheels and many other Polyhedral "Kits"! The sense of accomplishment and delight you will experience from completing these models is well worth the time and effort!
Author: Auguste Bravais
Publisher: Lulu.com
ISBN: 9749430956
Category : Reference
Languages : en
Pages : 59
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Book Description
This book is a translation of the seminal paper that Bravais wrote in 1849 on symmetry in crystallography.Kit Tyabandha completed his PhD from University of Manchester in 2004. His interests are Mathematics and Engineering, Language and Philosophy.
