Reshaping Convex Polyhedra
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Reshaping Convex Polyhedra
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Author : Joseph O’Rourke
language : en
Publisher: Springer Nature
Release Date :
Reshaping Convex Polyhedra written by Joseph O’Rourke and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Convex Polyhedra
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Author : A.D. Alexandrov
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-02-10
Convex Polyhedra written by A.D. Alexandrov 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 2005-02-10 with Mathematics categories.
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.
Shaping Space
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Author : Marjorie Senechal
language : en
Publisher:
Release Date : 1988
Shaping Space written by Marjorie Senechal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Convex Polyhedra
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Author : Aleksandr Danilovich Aleksandrov
language : en
Publisher:
Release Date : 2010
Convex Polyhedra written by Aleksandr Danilovich Aleksandrov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Convex surfaces categories.
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.
Convex Polyhedra With Regular Faces
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Author : Viktor A. Zalgaller
language : en
Publisher: Springer
Release Date : 1969
Convex Polyhedra With Regular Faces written by Viktor A. Zalgaller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Juvenile Nonfiction categories.
Convex Polyhedra With Regular Faces
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Author : Viktor A. Zalgaller
language : en
Publisher: Springer
Release Date : 2014-09-12
Convex Polyhedra With Regular Faces written by Viktor A. Zalgaller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-12 with Science categories.
Polyhedra
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Author : Anthony Pugh
language : en
Publisher: Univ of California Press
Release Date : 2023-11-10
Polyhedra written by Anthony Pugh and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-10 with categories.
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.
Polyhedra Primer
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Author : Peter Pearce
language : en
Publisher: Van Nostrand Reinhold Company
Release Date : 1978
Polyhedra Primer written by Peter Pearce and has been published by Van Nostrand Reinhold Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
Here is a lucid, thoughtful guide to understanding the structure and organization of three-dimensional space. In 250 captioned drawings this book brilliantly communicates the beauty and geometry of polyhedra. Beginning with polygons and tessellations, it proceeds in a logical sequence to finite polyhedra, dual polyhedra, space filling, and open packings. Important considerations of symmetry, periodic and uniform patterns, and regular and semi-regular forms are presented. Because the understanding of polyhedra is enhanced by the manipulation of models, a chapter of both two- and three-dimensional constructions is included.
Convex Figures And Polyhedra
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Author : Lazarʹ Aronovich Li︠u︡sternik
language : en
Publisher:
Release Date : 1966
Convex Figures And Polyhedra written by Lazarʹ Aronovich Li︠u︡sternik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Convex bodies categories.