Download or read online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get book now. This site is like a library, Use search box in the widget to get ebook that you want.

Polyhedra

Polyhedra Author Peter R. Cromwell
ISBN-10 0521664055
Release 1999-07-22
Pages 476
Download Link Click Here

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
Download Link Click Here

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
Download Link Click Here

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.



Build Your Own Polyhedra

Build Your Own Polyhedra Author Peter John Hilton
ISBN-10 020149096X
Release 1994-01-01
Pages 175
Download Link Click Here

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



Beyond the Cube

Beyond the Cube Author J. François Gabriel
ISBN-10 0471122610
Release 1997-08-12
Pages 510
Download Link Click Here

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.



Integer Points in Polyhedra

Integer Points in Polyhedra Author Alexander Barvinok
ISBN-10 3037190523
Release 2008
Pages 189
Download Link Click Here

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
Download Link Click Here

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.



Descartes on Polyhedra

Descartes on Polyhedra Author P. J. Federico
ISBN-10 0387907602
Release 1982-12-01
Pages 145
Download Link Click Here

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 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
Download Link Click Here

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)



A Plethora of Polyhedra in Origami

A Plethora of Polyhedra in Origami Author John Montroll
ISBN-10 0486422712
Release 2002
Pages 120
Download Link Click Here

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.



Convex Polyhedra with Regular Faces

Convex Polyhedra with Regular Faces Author Viktor A. Zalgaller
ISBN-10 1489956719
Release 2013-12-17
Pages 95
Download Link Click Here

Convex Polyhedra with Regular Faces has been writing in one form or another for most of life. You can find so many inspiration from Convex Polyhedra with Regular Faces also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Convex Polyhedra with Regular Faces 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
Download Link Click Here

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.



Origami Polyhedra Design

Origami Polyhedra Design Author John Montroll
ISBN-10 9781439871065
Release 2009-10-26
Pages 300
Download Link Click Here

This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations.



Convex Polyhedra with Regularity Conditions and Hilbert s Third Problem

Convex Polyhedra with Regularity Conditions and Hilbert   s Third Problem Author A. R. Rajwade
ISBN-10 9789386279064
Release 2001-01-01
Pages 128
Download Link Click Here

Convex Polyhedra with Regularity Conditions and Hilbert s Third Problem has been writing in one form or another for most of life. You can find so many inspiration from Convex Polyhedra with Regularity Conditions and Hilbert s Third Problem also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Convex Polyhedra with Regularity Conditions and Hilbert s Third Problem book for free.



Uniform Polyhedra

Uniform Polyhedra Author Harold Scott Macdonald Coxeter
ISBN-10 UVA:X001456916
Release 1954
Pages 50
Download Link Click Here

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.



Polyhedron Models

Polyhedron Models Author Magnus J. Wenninger
ISBN-10 0521098599
Release 1974-04-26
Pages 208
Download Link Click Here

An explicit guide to the geometric principles, design, and construction of complex polyhedral figures



Integral convex polyhedra and an approach to integralization

Integral convex polyhedra and an approach to integralization Author Murray Edelberg
ISBN-10 UCSD:31822011145729
Release 1970
Pages 170
Download Link Click Here

Many combinatorial optimization problems may be formulated as integer linear programming problems, that is, problems of the form: given a convex polyhedron P contained in the non-negative orthant of n-dimensional space, find an integer point in P which maximizes (or minimizes) a given linear objective function. Well known linear programming methods would suffice to solve such a problem if: (1) P is an integral convex polyhedron, or (2) P is transformed into the integral convex polyhedron that is the convex hull of the set of integer points in P, a process which is called integralization. This thesis provides some theoretical results concerning integral convex polyhedra and the process of integralization. Necessary and sufficient conditions for a convex polyhedron P to have the integral property are derived in terms of the system of linear inequalities defining P. A number-theoretic method for integralizing two-dimensional convex polyhedra is developed which makes use of a generalization of the division theorem for integers. The method is applicable to a restricted class of higher dimensional polyhedra as well. (Author).