Spheres
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Divided Spheres
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Author : Edward S. Popko
language : en
Publisher: CRC Press
Release Date : 2021-08-19
Divided Spheres written by Edward S. Popko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-19 with Mathematics categories.
Praise for the previous edition [. . .] Dr. Popko’s elegant new book extends both the science and the art of spherical modeling to include Computer-Aided Design and applications, which I would never have imagined when I started down this fascinating and rewarding path. His lovely illustrations bring the subject to life for all readers, including those who are not drawn to the mathematics. This book demonstrates the scope, beauty, and utility of an art and science with roots in antiquity. [. . .] Anyone with an interest in the geometry of spheres, whether a professional engineer, an architect or product designer, a student, a teacher, or simply someone curious about the spectrum of topics to be found in this book, will find it helpful and rewarding. – Magnus Wenninger, Benedictine Monk and Polyhedral Modeler Ed Popko's comprehensive survey of the history, literature, geometric, and mathematical properties of the sphere is the definitive work on the subject. His masterful and thorough investigation of every aspect is covered with sensitivity and intelligence. This book should be in the library of anyone interested in the orderly subdivision of the sphere. – Shoji Sadao, Architect, Cartographer and lifelong business partner of Buckminster Fuller Edward Popko's Divided Spheres is a "thesaurus" must to those whose academic interest in the world of geometry looks to greater coverage of synonyms and antonyms of this beautiful shape we call a sphere. The late Buckminster Fuller might well place this manuscript as an all-reference for illumination to one of nature's most perfect inventions. – Thomas T. K. Zung, Senior Partner, Buckminster Fuller, Sadao, & Zung Architects. This first edition of this well-illustrated book presented a thorough introduction to the mathematics of Buckminster Fuller’s invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explained the principles of spherical design and the three classic methods of subdivision based on geometric solids (polyhedra). This thoroughly edited new edition does all that, while also introducing new techniques that extend the class concept by relaxing the triangulation constraint to develop two new forms of optimized hexagonal tessellations. The objective is to generate spherical grids where all edge (or arc) lengths or overlap ratios are equal. New to the Second Edition New Foreword by Joseph Clinton, lifelong Buckminster Fuller collaborator A new chapter by Chris Kitrick on the mathematical techniques for developing optimal single-edge hexagonal tessellations, of varying density, with the smallest edge possible for a particular topology, suggesting ways of comparing their levels of optimization An expanded history of the evolution of spherical subdivision New applications of spherical design in science, product design, architecture, and entertainment New geodesic algorithms for grid optimization New full-color spherical illustrations created using DisplaySphere to aid readers in visualizing and comparing the various tessellations presented in the book Updated Bibliography with references to the most recent advancements in spherical subdivision methods
Sphere Packings
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Author : Chuanming Zong
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-20
Sphere Packings written by Chuanming Zong 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 2008-01-20 with Mathematics categories.
Sphere packings is one of the most fascinating and challenging subjects in mathematics. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with other subjects found. This book gives a full account of this fascinating subject, especially its local aspects, discrete aspects, and its proof methods. The book includes both classical and contemporary results and provides a full treatment of the subject.
Sphere Packings Lattices And Groups
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Author : John Conway
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Sphere Packings Lattices And Groups written by John Conway 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 2013-06-29 with Mathematics categories.
The third edition of this definitive and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items.
Discovering Spheres
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Author : Nancy Furstinger
language : en
Publisher: 3D Objects
Release Date : 2016-03
Discovering Spheres written by Nancy Furstinger and has been published by 3D Objects this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03 with Juvenile Nonfiction categories.
A sphere has no corners or edges. Planets look like giant spheres in space. Learn more about what spheres are and what they are used for in Discovering Spheres, a title in the 3D Objects series.
Geometry Of Spheres In Normed Spaces
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Author : Juan Jorge Schäffer
language : en
Publisher: Marcel Dekker Incorporated
Release Date : 1976
Geometry Of Spheres In Normed Spaces written by Juan Jorge Schäffer and has been published by Marcel Dekker Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
The Dissolution Of The Celestial Spheres 1595 1650
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Author : William H. Donahue
language : en
Publisher:
Release Date : 1981
The Dissolution Of The Celestial Spheres 1595 1650 written by William H. Donahue and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.
Symmes S Theory Of Concentric Spheres
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Author : James McBride
language : en
Publisher: Franklin Classics
Release Date : 2018-10-15
Symmes S Theory Of Concentric Spheres written by James McBride and has been published by Franklin Classics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-15 with Earth (Planet) categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Fiberings Of Spheres By Spheres
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Author : Phillip Ray Ward
language : en
Publisher:
Release Date : 1979
Fiberings Of Spheres By Spheres written by Phillip Ray Ward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
European Social Movements And The Transnationalization Of Public Spheres
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Author : Angela Bourne
language : en
Publisher: Routledge
Release Date : 2018-12-07
European Social Movements And The Transnationalization Of Public Spheres written by Angela Bourne and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-07 with Political Science categories.
Many contemporary social movements observe, copy, learn from, coordinate and cooperate with other movements abroad, and some mobilise to influence processes of global governance. Can these transnational dimensions of mobilization transform the territorial scale of political debate on issues of common concern in public spheres? In contrast to many existing studies, which focus on the media as carriers of public sphere transnationalisation, this book presents a theoretical and empirical exploration of the role of social movements in such processes. As ‘arenas’ or subaltern counterpublics in themselves, social movements may provide a setting in which activists come to frame claims in a comparative manner, interact with activists from other countries, frame problems as matters of transnational concerns or consider themselves members of transnational communities. As ‘actors’ social movements may contribute to the transnational transformation of public spheres by directing claims to political authorities beyond the state, claiming to represent transnational constituencies, and focus on similar issues and use similar frames of reference as movements abroad. The book’s case studies addressing efforts to build transnational social movements and transnational dimensions of anti-austerity and prodemocracy movements in Spain, Portugal, Greece, Turkey and Ireland provide contemporary empirical illustrations of such processes at work. The chapters were originally published in a special issue of the Journal of Civil Society.
Heaven Earth Humankind
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Author : William Wadsworth
language : en
Publisher: Xlibris Corporation
Release Date : 2014-09-26
Heaven Earth Humankind written by William Wadsworth and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-26 with Body, Mind & Spirit categories.
Dedicated to fellow travelers: Charan Singh, Gurinder Singh, Jane Gray Clarke, Danni and Anna Gold, Duncan Laurie, Lonny Jarrett, Don Cook, Bjorn Von Schleburg, Constance Cappel, Pat Wadsworth, Joe Balani, Chloe Wordsworth, Nicole Schatz, Charu Desai, Sr. Anne O’Donnel