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Polyhedra

Author: Peter R. Cromwell

Publisher: Cambridge University Press

Published: 1997

Total Pages: 498

ISBN-13: 9780521664059

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.

Convex Polyhedra

Author: A.D. Alexandrov

Publisher: Springer Science & Business Media

Published: 2005-12-08

Total Pages: 545

ISBN-13: 3540263403

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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.

Shaping Space

Author: Marjorie Senechal

Publisher: Springer Science & Business Media

Published: 2013-03-22

Total Pages: 334

ISBN-13: 038792714X

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This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels—in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.

The Complete Book of Origami Polyhedra

Author: Tomoko Fuse

Publisher: Tuttle Publishing

Published: 2021-10-12

Total Pages: 101

ISBN-13: 1462922333

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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*

Polyhedron Models

Author: Magnus J. Wenninger

Publisher: Cambridge University Press

Published: 1971

Total Pages: 224

ISBN-13: 9780521098595

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he author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms.

Build Your Own Polyhedra

Author: Peter Hilton

Publisher: Addison Wesley Publishing Company

Published: 1994

Total Pages: 0

ISBN-13: 9780201490961

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Demonstrates the properties of geometrical structures by showing how to buid three-dimensional shapes using easily accessible materials.

Polyhedra

Author: Anthony Pugh

Publisher: Univ of California Press

Published: 2023-11-10

Total Pages: 290

ISBN-13: 0520322045

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Polyhedra

Author: Anthony Pugh

Publisher: Univ of California Press

Published: 1976

Total Pages: 136

ISBN-13: 9780520029262

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Convex Polyhedra

Author: A.D. Alexandrov

Publisher: Springer Science & Business Media

Published: 2005-02-10

Total Pages: 562

ISBN-13: 9783540231585

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Beginner's Book of Modular Origami Polyhedra

Author: Rona Gurkewitz

Publisher: Courier Corporation

Published: 2012-03-07

Total Pages: 66

ISBN-13: 0486132188

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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.