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Polyhedra

Polyhedra Author Peter R. Cromwell
ISBN-10 0521664055
Release 1999-07-22
Pages 476
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This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics.



Convex Polyhedra

Convex Polyhedra Author A.D. Alexandrov
ISBN-10 9783540263401
Release 2006-03-30
Pages 542
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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
ISBN-10 0520030567
Release 1976-01-01
Pages 118
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Polyhedra has been writing in one form or another for most of life. You can find so many inspiration from Polyhedra also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Polyhedra book for free.



Polyhedron Models

Polyhedron Models Author Magnus J. Wenninger
ISBN-10 0521098599
Release 1974-04-26
Pages 208
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An explicit guide to the geometric principles, design, and construction of complex polyhedral figures



Integer Points in Polyhedra

Integer Points in Polyhedra Author Alexander Barvinok
ISBN-10 3037190523
Release 2008
Pages 189
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Integer Points in Polyhedra has been writing in one form or another for most of life. You can find so many inspiration from Integer Points in Polyhedra also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Integer Points in Polyhedra book for free.



Three dimensional nets and polyhedra

Three dimensional nets and polyhedra Author Alexander Frank Wells
ISBN-10 UCAL:B4982840
Release 1977
Pages 268
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Three dimensional nets and polyhedra has been writing in one form or another for most of life. You can find so many inspiration from Three dimensional nets and polyhedra also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Three dimensional nets and polyhedra book for free.



Shaping Space

Shaping Space Author Marjorie Senechal
ISBN-10 9780387927145
Release 2013-03-22
Pages 341
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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 primer

Polyhedra primer Author Peter Pearce
ISBN-10 0442264968
Release 1978
Pages 134
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Polyhedra primer has been writing in one form or another for most of life. You can find so many inspiration from Polyhedra primer also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Polyhedra primer book for free.



Computer search for non isomorphic convex polyhedra

Computer search for non isomorphic convex polyhedra Author Donald W. Grace
ISBN-10 STANFORD:36105033224309
Release 1965
Pages 274
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To classify the polyhedra, to survey the polyhedral shapes, and to exhaust their variety by orderly enumeration is a naturally attractive problem, noticed by Euler and Jakob Steiner, to which some mathematicians, especially Max Bruckner, devoted considerable work. With the latest high-speed digital computers decades of manual labor can be compressed into hours. This dissertation is concerned with the solution of the enumeration problem on a digital computer. A tri- linear polyhedron is one in which each vertex is incident with exactly three edges. Two polyhedra are isomorphic if a one-toone correspondence can be established between the vertices, edges, and faces of one with those of the other, so that the incidence relations between elements are preserved. Two polyhedra are called equi-surrounded if a one-to-one correspondence can be established between the faces of one and the faces of the other so that each pair of corresponding faces has equivalent surroundings -- i. e. the neighbors of the two faces in question, when taken in cyclic order clockwise, display the same pattern of edge-counts. Isomorphism implies equisurroundedness. A counter-example with 18 faces disproves the converse. However, for polyhedra with up to 17 faces we can apparently equate isomorphism with equisurroundedness.



A Geometric Analysis of the Platonic Solids and Other Semi Regular Polyhedra

A Geometric Analysis of the Platonic Solids and Other Semi Regular Polyhedra Author Kenneth J. M. MacLean
ISBN-10 9781932690996
Release 2007-01-01
Pages 153
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This book contains a meticulous geometric investigation of the five Platonic Solids and five other important polyhedra, as well as reference charts for each solid. (Mathematics)



Uniform Polyhedra

Uniform Polyhedra Author Harold Scott Macdonald Coxeter
ISBN-10 UVA:X001456916
Release 1954
Pages 50
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Uniform Polyhedra has been writing in one form or another for most of life. You can find so many inspiration from Uniform Polyhedra also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Uniform Polyhedra book for free.



Beyond the Cube

Beyond the Cube Author J. François Gabriel
ISBN-10 0471122610
Release 1997-08-12
Pages 510
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In an extended discussion on the theory of polyhedra, Beyond the Cube explores the ways in which coupling cube to tetrahedron produces an array of other polyhedra that enable the expansion of design sources beyond the cube. The book examines the geometric laws that govern many of these shapes - prisms, antiprisms, domes, and folded plate structures, as well as space frames - and surveys the symbolic meanings ascribed to many polyhedra. Structural aspects of polyhedra are examined from two points of view, that of the structural engineer and that of the designer using CAD for the purpose of visualization and formal transformations.



A Plethora of Polyhedra in Origami

A Plethora of Polyhedra in Origami Author John Montroll
ISBN-10 0486422712
Release 2002
Pages 120
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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.



Build Your Own Polyhedra

Build Your Own Polyhedra Author Peter John Hilton
ISBN-10 STANFORD:36105003967952
Release 1988
Pages 175
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Build Your Own Polyhedra has been writing in one form or another for most of life. You can find so many inspiration from Build Your Own Polyhedra also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Build Your Own Polyhedra book for free.



Descartes on Polyhedra

Descartes on Polyhedra Author P. J. Federico
ISBN-10 9781461257592
Release 2012-12-06
Pages 145
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The present essay stems from a history of polyhedra from 1750 to 1866 written several years ago (as part of a more general work, not published). So many contradictory statements regarding a Descartes manuscript and Euler, by various mathematicians and historians of mathematics, were encountered that it was decided to write a separate study of the relevant part of the Descartes manuscript on polyhedra. The contemplated short paper grew in size, as only a detailed treatment could be of any value. After it was completed it became evident that the entire manuscript should be treated and the work grew some more. The result presented here is, I hope, a complete, accurate, and fair treatment of the entire manuscript. While some views and conclusions are expressed, this is only done with the facts before the reader, who may draw his or her own conclusions. I would like to express my appreciation to Professors H. S. M. Coxeter, Branko Griinbaum, Morris Kline, and Dr. Heinz-Jiirgen Hess for reading the manuscript and for their encouragement and suggestions. I am especially indebted to Dr. Hess, of the Leibniz-Archiv, for his assistance in connection with the manuscript. I have been greatly helped in preparing the translation ofthe manuscript by the collaboration of a Latin scholar, Mr. Alfredo DeBarbieri. The aid of librarians is indispensable, and I am indebted to a number of them, in this country and abroad, for locating material and supplying copies.



A Constellation of Origami Polyhedra

A Constellation of Origami Polyhedra Author John Montroll
ISBN-10 0486439585
Release 2004
Pages 120
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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.



Combinatorial Optimization

Combinatorial Optimization Author A. Schrijver
ISBN-10 3540443894
Release 2003-02-12
Pages 1881
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From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum