Download or read book Convex Polyhedra with Regular Faces written by Viktor A. Zalgaller and published by Springer. This book was released on 1969 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Convex Polyhedra with Regular Faces written by Viktor A. Zalgaller and published by Springer. This book was released on 2014-09-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Convex Polyhedra written by A.D. Alexandrov and published by Springer Science & Business Media. This book was released on 2005-12-08 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Convex Polyhedra with Regularity Conditions and Hilbert s Third Problem written by A. R. Rajwade and published by Springer. This book was released on 2001-01-01 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Polyhedra written by Peter R. Cromwell and published by Cambridge University Press. This book was released on 1997 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Regular Figures written by L. Fejes Tóth and published by Elsevier. This book was released on 2014-07-10 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regular Figures concerns the systematology and genetics of regular figures. The first part of the book deals with the classical theory of the regular figures. This topic includes description of plane ornaments, spherical arrangements, hyperbolic tessellations, polyhedral, and regular polytopes. The problem of geometry of the sphere and the two-dimensional hyperbolic space are considered. Classical theory is explained as describing all possible symmetrical groupings in different spaces of constant curvature. The second part deals with the genetics of the regular figures and the inequalities found in polygons; also presented as examples are the packing and covering problems of a given circle using the most or least number of discs. The problem of distributing n points on the sphere for these points to be placed as far as possible from each other is also discussed. The theories and problems discussed are then applied to pollen-grains, which are transported by animals or the wind. A closer look into the exterior composition of the grain shows many characteristics of uniform distribution of orifices, as well as irregular distribution. A formula that calculates such packing density is then explained. More advanced problems such as the genetics of the protean regular figures of higher spaces are also discussed. The book is ideal for physicists, mathematicians, architects, and students and professors in geometry.
Download or read book Polyhedra written by Anthony Pugh and published by Univ of California Press. This book was released on 1976 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cluster Assembled Materials written by Klaus Sattler and published by Trans Tech Publications Ltd. This book was released on 1996-11-07 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is now some 15 years since atomic clusters were first produced and investigated in laboratories. Since then, knowledge concerning clusters has enjoyed rapid and sustained growth, and cluster research has become a new branch of science.
Download or read book Euler s Gem written by David S. Richeson and published by Princeton University Press. This book was released on 2019-07-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
Download or read book Polyhedron Models written by Magnus J. Wenninger and published by Cambridge University Press. This book was released on 1971 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: he author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms.
Download or read book Polyhedra Primer written by Peter Pearce and published by Van Nostrand Reinhold Company. This book was released on 1978 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Excursions in Geometry written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1990-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
Download or read book Dual Models written by Magnus J. Wenninger and published by Cambridge University Press. This book was released on 2003-10-16 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: An enthusiastic presentation of the complex set of uniform duals of uniform polyhedral shapes.
Download or read book Polyhedra written by Anthony Pugh and published by Univ of California Press. This book was released on 2023-11-10 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Convex Polyhedra written by A.D. Alexandrov and published by Springer Science & Business Media. This book was released on 2005-02-10 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to Computational Origami written by Ryuhei Uehara and published by Springer Nature. This book was released on 2020-06-29 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on origami from the point of view of computer science. Ranging from basic theorems to the latest research results, the book introduces the considerably new and fertile research field of computational origami as computer science. Part I introduces basic knowledge of the geometry of development, also called a net, of a solid. Part II further details the topic of nets. In the science of nets, there are numerous unresolved issues, and mathematical characterization and the development of efficient algorithms by computer are closely connected with each other. Part III discusses folding models and their computational complexity. When a folding model is fixed, to find efficient ways of folding is to propose efficient algorithms. If this is difficult, it is intractable in terms of computational complexity. This is, precisely, an area for computer science research. Part IV presents some of the latest research topics as advanced problems. Commentaries on all exercises included in the last chapter. The contents are organized in a self-contained way, and no previous knowledge is required. This book is suitable for undergraduate, graduate, and even high school students, as well as researchers and engineers interested in origami.
Download or read book Convex Polyhedra written by Aleksandr Danilovich Aleksandrov and published by . This book was released on 2010 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
