Polyhedra

Author : Peter R. Cromwell
Publisher : Cambridge University Press
Page : 498 pages
File Size : 41,9 Mb
Release : 1997
Category : Mathematics
ISBN : 0521664055

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Polyhedra by Peter R. Cromwell Pdf

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 : A.D. Alexandrov
Publisher : Springer Science & Business Media
Page : 562 pages
File Size : 45,5 Mb
Release : 2005-02-10
Category : Mathematics
ISBN : 3540231587

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Convex Polyhedra by A.D. Alexandrov Pdf

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 : Anthony Pugh
Publisher : Univ of California Press
Page : 136 pages
File Size : 40,7 Mb
Release : 1976
Category : Mathematics
ISBN : 0520029267

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Polyhedra by Anthony Pugh Pdf

Author : A.D. Alexandrov
Publisher : Springer Science & Business Media
Page : 545 pages
File Size : 47,7 Mb
Release : 2005-12-08
Category : Mathematics
ISBN : 9783540263401

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Convex Polyhedra by A.D. Alexandrov Pdf

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 : Alexander Barvinok
Publisher : European Mathematical Society
Page : 204 pages
File Size : 55,9 Mb
Release : 2008
Category : Mathematics
ISBN : 3037190523

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Integer Points in Polyhedra by Alexander Barvinok Pdf

This is a self-contained exposition of several core aspects of the theory of rational polyhedra with a view towards algorithmic applications to efficient counting of integer points, a problem arising in many areas of pure and applied mathematics. The approach is based on the consistent development and application of the apparatus of generating functions and the algebra of polyhedra. Topics range from classical, such as the Euler characteristic, continued fractions, Ehrhart polynomial, Minkowski Convex Body Theorem, and the Lenstra-Lenstra-Lovasz lattice reduction algorithm, to recent advances such as the Berline-Vergne local formula. The text is intended for graduate students and researchers. Prerequisites are a modest background in linear algebra and analysis as well as some general mathematical maturity. Numerous figures, exercises of varying degree of difficulty as well as references to the literature and publicly available software make the text suitable for a graduate course.

Author : John Montroll
Publisher : Courier Corporation
Page : 124 pages
File Size : 46,7 Mb
Release : 2002-01-01
Category : Crafts & Hobbies
ISBN : 0486422712

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A Plethora of Polyhedra in Origami by John Montroll Pdf

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.

Author : Vera Viana,Helena Mena Matos,João Pedro Xavier
Publisher : Springer Nature
Page : 166 pages
File Size : 55,5 Mb
Release : 2022-07-09
Category : Mathematics
ISBN : 9783030991166

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Polyhedra and Beyond by Vera Viana,Helena Mena Matos,João Pedro Xavier Pdf

This volume collects papers based on talks given at the conference “Geometrias'19: Polyhedra and Beyond”, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal. These papers explore the conference’s theme from an interdisciplinary standpoint, all the while emphasizing the relevance of polyhedral geometry in contemporary academic research and professional practice. They also investigate how this topic connects to mathematics, art, architecture, computer science, and the science of representation. Polyhedra and Beyond will help inspire scholars, researchers, professionals, and students of any of these disciplines to develop a more thorough understanding of polyhedra.

Author : John Montroll
Publisher : CRC Press
Page : 304 pages
File Size : 45,5 Mb
Release : 2009-10-26
Category : Mathematics
ISBN : 9781439871065

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Origami Polyhedra Design by John Montroll Pdf

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,

Author : David W. Barnette
Publisher : American Mathematical Soc.
Page : 168 pages
File Size : 53,6 Mb
Release : 1984-03-01
Category : Mathematics
ISBN : 9781470457174

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Map Coloring, Polyhedra and the FourColor Problem by David W. Barnette Pdf

Author : Boris Youssin
Publisher : American Mathematical Soc.
Page : 99 pages
File Size : 46,8 Mb
Release : 1990
Category : Mathematics
ISBN : 9780821824955

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Newton Polyhedra without Coordinates/Newton Polyhedra of Ideals by Boris Youssin Pdf

This book creates a commutative algebra background for explicit and canonical resolution of singularities of algebraic varieties. The author's construction provides a coordinate-free definition of some Newton polyhedra related to a germ of functions or an ideal. In addition, the construction is significant as a step toward an explicit and canonical resolution of singularities in characteristic zero. The book is intended for researchers in algebraic geometry and commutative algebra.

Author : Auguste Bravais
Publisher : Lulu.com
Page : 59 pages
File Size : 46,8 Mb
Release : 2007-01-26
Category : Reference
ISBN : 9789749430958

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Notice on the Symmetrical Polyhedra of Geometry by Auguste Bravais Pdf

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.

Author : David Avis,David Bremner,Antoine Deza
Publisher : American Mathematical Soc.
Page : 163 pages
File Size : 45,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9780821873328

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Polyhedral Computation by David Avis,David Bremner,Antoine Deza Pdf

Author : Marc De Graef,Michael E. McHenry
Publisher : Cambridge University Press
Page : 799 pages
File Size : 46,8 Mb
Release : 2007-08-30
Category : Science
ISBN : 9780521651516

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Structure of Materials by Marc De Graef,Michael E. McHenry Pdf

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 : Marjorie Senechal
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 54,6 Mb
Release : 2013-03-22
Category : Mathematics
ISBN : 9780387927145

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Shaping Space by Marjorie Senechal Pdf

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.

Author : Mircea Vasile Diudea
Publisher : Springer
Page : 442 pages
File Size : 47,9 Mb
Release : 2017-10-20
Category : Science
ISBN : 9783319641232

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Multi-shell Polyhedral Clusters by Mircea Vasile Diudea Pdf

This volume presents new methodologies and rationalizes existing methods that are used in the design of multi-shell polyhedral clusters. The author describes how the methods used are extended from 2D-operations on maps to 3D (and higher dimensional) Euclidean space. A variety of structures is designed and described in detail and classified giving rise to an atlas of multi-shell nanostructures. The book therefore sheds a new light on the field of crystal and quasicrystal structures, an important part of nanoscience and nanotechnology. The author goes on to show how the recently established methods are used for building complex multi-shell nanostructures and how this completes the existing information in the field. The atlas of such structures is completed with atomic coordinates (included as supplementary material). The content of this book gives a useful insight into structure elucidation and suggests new material synthesis.