Convex Polyhedra

Author : A.D. Alexandrov
Publisher : Springer Science & Business Media
Page : 562 pages
File Size : 46,5 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 : A.D. Alexandrov
Publisher : Springer Science & Business Media
Page : 545 pages
File Size : 49,6 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 : Joseph O’Rourke
Publisher : Springer Nature
Page : 245 pages
File Size : 55,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9783031475115

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Reshaping Convex Polyhedra by Joseph O’Rourke Pdf

Author : A. R. Rajwade
Publisher : Springer
Page : 203 pages
File Size : 45,7 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 9789386279064

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Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem by A. R. Rajwade Pdf

Author : Viktor A. Zalgaller
Publisher : Springer
Page : 108 pages
File Size : 55,5 Mb
Release : 1969
Category : Juvenile Nonfiction
ISBN : UVA:X001456926

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Convex Polyhedra with Regular Faces by Viktor A. Zalgaller Pdf

Author : Selim G. Akl
Publisher : Springer Science & Business Media
Page : 536 pages
File Size : 43,8 Mb
Release : 1995-08-02
Category : Computers
ISBN : 3540602208

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Algorithms and Data Structures by Selim G. Akl Pdf

This volume constitutes the proceedings of the Fourth International Workshop on Algorithms and Data Structures, WADS '95, held in Kingston, Canada in August 1995. The book presents 40 full refereed papers selected from a total of 121 submissions together with invited papers by Preparata and Bilardi, Sharir, Toussaint, and Vitanyi and Li. The book addresses various aspects of algorithms, data structures, computational geometry, scheduling, computational graph theory, and searching.

Author : Peter R. Cromwell
Publisher : Cambridge University Press
Page : 498 pages
File Size : 46,8 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 : Jens Palsberg,Zhendong Su
Publisher : Springer
Page : 362 pages
File Size : 49,7 Mb
Release : 2009-08-03
Category : Computers
ISBN : 9783642032370

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Static Analysis by Jens Palsberg,Zhendong Su Pdf

This book constitutes the refereed proceedings of the 16th International Symposium on Static Analysis, SAS 2009, held in Los Angeles, CA, USA in August 2009 - co-located with LICS 2009, the 24th IEEE Symposium on Logic in Computer Science. The 21 revised full papers presented together with two invited lectures were carefully reviewed and selected from 52 submissions. The papers address all aspects of static analysis including abstract domains, abstract interpretation, abstract testing, compiler optimizations, control flow analysis, data flow analysis, model checking, program specialization, security analysis, theoretical analysis frameworks, type based analysis, and verification systems.

Author : Heinrich Behnke,F. Bachmann,K. Fladt
Publisher : MIT Press
Page : 708 pages
File Size : 43,9 Mb
Release : 1974
Category : Mathematics
ISBN : 0262020696

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Fundamentals of Mathematics by Heinrich Behnke,F. Bachmann,K. Fladt Pdf

Volume II of a unique survey of the whole field of pure mathematics.

Author : Donald W. Grace,Stanford University. Computer Science Department
Publisher : Unknown
Page : 162 pages
File Size : 41,9 Mb
Release : 1965
Category : Image processing
ISBN : STANFORD:36105033224309

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Computer Search for Non-isomorphic Convex Polyhedra by Donald W. Grace,Stanford University. Computer Science Department Pdf

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.

Author : Howard Karloff
Publisher : SIAM
Page : 726 pages
File Size : 40,9 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 0898714109

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Proceedings of the Ninth Annual ACM-SIAM Symposium on Discrete Algorithms by Howard Karloff Pdf

This symposium is jointly sponsored by the ACM Special Interest Group on Algorithms and Computation Theory and the SIAM Activity Group on Discrete Mathematics.

Author : Aleksandr Danilovich Aleksandrov
Publisher : Unknown
Page : 539 pages
File Size : 41,6 Mb
Release : 2010
Category : Convex surfaces
ISBN : OCLC:988794706

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Convex Polyhedra by Aleksandr Danilovich Aleksandrov Pdf

Convex Polyhedra is one of the classics in geometry. There simply is no other book with so many of the aspects of the theory of 3-dimensional convex polyhedra in a comparable way, and in anywhere near its detail and completeness. It is the definitive source of the classical field of convex polyhedra and contains the available answers to the question of the data uniquely determining a convex polyhedron. This question concerns all data pertinent to the poly hedron, e.g. the lengths of edges, areas of faces, etc. This viatal and clearly written 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. It is a wonderful source of ideas for students. The English edition includes numerous comments as well as added material and a comprehensive bibliography by V.A. Zalgaller to bring the work up to date. Moreover, related papers by L.A. Shor and Yu. A. Volkov have been added as supplements to this book.

Author : Murray Edelberg
Publisher : Unknown
Page : 180 pages
File Size : 43,9 Mb
Release : 1970
Category : Linear programming
ISBN : UCSD:31822011145729

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Integral Convex Polyhedra and an Approach to Integralization by Murray Edelberg Pdf

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).

Author : Peter Kramer,Zorka Papadopolos
Publisher : Springer
Page : 273 pages
File Size : 47,6 Mb
Release : 2003-07-01
Category : Science
ISBN : 9783540458050

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Coverings of Discrete Quasiperiodic Sets by Peter Kramer,Zorka Papadopolos Pdf

In this up-to-date review and guide to most recent literature, the expert authors develop concepts related to quasiperiodic coverings and describe results. The text describes specific systems in 2 and 3 dimensions with many illustrations, and analyzes the atomic positions in quasicrystals.

Author : Klaus D. Sattler
Publisher : CRC Press
Page : 912 pages
File Size : 50,9 Mb
Release : 2010-09-17
Category : Science
ISBN : 9781420075557

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Handbook of Nanophysics by Klaus D. Sattler Pdf

The field of nanoscience was pioneered in the 1980s with the groundbreaking research on clusters, which later led to the discovery of fullerenes. Handbook of Nanophysics: Clusters and Fullerenes focuses on the fundamental physics of these nanoscale materials and structures. Each peer-reviewed chapter contains a broad-based introduction and enhances