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Polyhedra

Polyhedra
Author: Peter R. Cromwell
Publisher: Cambridge University Press
Total Pages: 498
Release: 1997
Genre: Mathematics
ISBN: 9780521664059

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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

Convex Polyhedra
Author: A.D. Alexandrov
Publisher: Springer Science & Business Media
Total Pages: 545
Release: 2005-12-08
Genre: Mathematics
ISBN: 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.


Polyhedra

Polyhedra
Author: Anthony Pugh
Publisher: Univ of California Press
Total Pages: 290
Release: 2023-11-10
Genre:
ISBN: 0520322045

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Shaping Space

Shaping Space
Author: Marjorie Senechal
Publisher: Springer Science & Business Media
Total Pages: 334
Release: 2013-03-22
Genre: Mathematics
ISBN: 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.


Polyhedra

Polyhedra
Author: Anthony Pugh
Publisher: Univ of California Press
Total Pages: 136
Release: 1976
Genre: Mathematics
ISBN: 9780520029262

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The Complete Book of Origami Polyhedra

The Complete Book of Origami Polyhedra
Author: Tomoko Fuse
Publisher: Tuttle Publishing
Total Pages: 101
Release: 2021-10-12
Genre: Crafts & Hobbies
ISBN: 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*


Build Your Own Polyhedra

Build Your Own Polyhedra
Author: Peter Hilton
Publisher: Addison Wesley Publishing Company
Total Pages: 0
Release: 1994
Genre: Paper work
ISBN: 9780201490961

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


Polyhedron Models

Polyhedron Models
Author: Magnus J. Wenninger
Publisher: Cambridge University Press
Total Pages: 224
Release: 1971
Genre: Mathematics
ISBN: 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.


Beginner's Book of Modular Origami Polyhedra

Beginner's Book of Modular Origami Polyhedra
Author: Rona Gurkewitz
Publisher: Courier Corporation
Total Pages: 66
Release: 2012-03-07
Genre: Crafts & Hobbies
ISBN: 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.


Designing and Building Tessellated Polyhedra

Designing and Building Tessellated Polyhedra
Author: Robert Fathauer
Publisher: Tessellations
Total Pages: 111
Release: 2017-08
Genre: Juvenile Nonfiction
ISBN: 9781938664021

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Polyhedra allow geometric shapes in the plane to become solids in our three-dimensional world. Tessellations in which individual tiles are lifelike motifs are a fun combination of art and mathematics. Designing and Building Tessellated Polyhedra brings these two fascinating topics together a for hands-on learning experience rich in math content. Nets for 24 different polyhedra, including all of the Platonic and Archimedean solids, are presented both with and without tessellations applied to them. This allows polyhedra to be built with ready-made designs that can be colored if desired, or printed in beautiful color using the included CD. Another option is building undecorated polyhedra that have the names and key properties printed on them. Yet another possibility is to use templates to design new tessellations that can be applied to the polyhedra. The book also contains background on polyhedra and templates for tessellated cones, cylinders, and Msbius strips. For classroom use, ten activities with worksheets, designed to address ten different specific Common Core State Standards for Mathematics are included as well. Ages 12-17