Computer Search For Non Isomorphic Convex Polyhedra
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Computer Search For Non Isomorphic Convex Polyhedra
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Author : Donald W. Grace
language : en
Publisher:
Release Date : 1965
Computer Search For Non Isomorphic Convex Polyhedra written by Donald W. Grace and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Image processing categories.
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.
Convex Polytopes
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Author : Branko Grünbaum
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Convex Polytopes written by Branko Grünbaum and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
"The original edition [...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again." --Peter McMullen, University College London
Discrete Differential Geometry
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Author : Alexander I. Bobenko TU Berlin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-27
Discrete Differential Geometry written by Alexander I. Bobenko TU Berlin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-27 with Mathematics categories.
This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. The carefully edited collection of essays gives a lively, multi-facetted introduction to this emerging field.
Unsolved Problems In Geometry
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Author : Hallard T. Croft
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Unsolved Problems In Geometry written by Hallard T. Croft and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.
Technical Abstract Bulletin
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Author :
language : en
Publisher:
Release Date :
Technical Abstract Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
Government Wide Index To Federal Research Development Reports
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Author :
language : en
Publisher:
Release Date : 1965-03
Government Wide Index To Federal Research Development Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-03 with Government publications categories.
Proceedings Of The Ibm Scientific Computing Symposium On Combinatorial Problems
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Author :
language : en
Publisher:
Release Date : 1966
Proceedings Of The Ibm Scientific Computing Symposium On Combinatorial Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Combinatorial analysis categories.
Zeolites Facts Figures Future
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Author : P.A. Jacobs
language : en
Publisher: Elsevier
Release Date : 1989-07-01
Zeolites Facts Figures Future written by P.A. Jacobs and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-07-01 with Technology & Engineering categories.
This two-volume work contains over 140 papers which, together, reflect the current status of zeolite science and technology encompassing high and low silica zeolites, pillared clays, molecular sieves, microporous metallosilicates, crystalline silica polymorphs, crystalline microporous aluminophosphates and their isomorphically substituted forms. The five plenary invited lectures summarize current knowledge and address a number of topical areas such as the enumeration of theoretically possible frameworks, the use of sophisticated physical methods to unravel and characterise new molecular sieve materials, the potential of molecular sieves as catalysts for chemical intermediate and commodity synthesis and conversion, the role of zeolites in fluid catalytic cracking, and new zeolitic materials. Specific aspects of zeolite science are highlighted in the ten keynote lectures of which three are on synthesis and modification, one on new materials, one on characterization, two on structure and theory, one on metals in zeolites, and two on catalytic topics. All the contributions in this book reflect the high quality of research being carried out throughout the zeolite community.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1969
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Aeronautics categories.
The Mathematical Gazette
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Author :
language : en
Publisher:
Release Date : 1968
The Mathematical Gazette written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.