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Polyhedra
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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.
Book Synopsis Convex Polyhedra by : A.D. Alexandrov
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.
Book Synopsis Convex Polyhedra by : A.D. Alexandrov
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.
Book Synopsis Shaping Space by : Marjorie Senechal
Download or read book Shaping Space written by Marjorie Senechal and published by Springer Science & Business Media. This book was released on 2013-03-22 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels—in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.
Book Synopsis Polyhedron Models by : Magnus J. Wenninger
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 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:
Book Synopsis The Complete Book of Origami Polyhedra by : Tomoko Fuse
Download or read book The Complete Book of Origami Polyhedra written by Tomoko Fuse and published by Tuttle Publishing. This book was released on 2021-10-12 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn to fold incredible geometric origami models from "The Queen of Modular Origami!" In this book, Tomoko Fuse--Japan's most famous living origami artist--shows you how to create amazing polyhedral models using the techniques of modular origami (where many paper sheets are folded then locked together without glue or tape). Make 64 intriguing modular models, including: Stackable Modules--The perfect starting point for novices, these simple constructions result in stunning three-dimensional forms 3-D Stars--Dazzling decorative starbursts that look great on a Christmas tree, on your mantle--or even in an art gallery Manifold Modulars--"Inception-like" models in which individual modular constructions themselves become modules within a larger piece Cubes and Boxes--Perfect for gift giving--and there is no finer teacher for these than renowned origami box specialist Tomoko Fuse And many more! *Recommended for experienced folders and up*
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:
Book Synopsis Build Your Own Polyhedra by : Peter Hilton
Download or read book Build Your Own Polyhedra written by Peter Hilton and published by Addison Wesley Publishing Company. This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates the properties of geometrical structures by showing how to buid three-dimensional shapes using easily accessible materials.
Book Synopsis Polyhedra Primer by : Peter Jon Pearce
Download or read book Polyhedra Primer written by Peter Jon Pearce and published by CreateSpace. This book was released on 2015-02-03 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a lucid thoughtful guide to understanding the structure and organization of three-dimension al 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 semiregular forms are presented. Because the understanding of polyhedra is enhanced by the manipulation of models, a chapter on both two- and three-dimensional constructions is included. This uniquely valuable reference work will be welcomed by designers, architects, mathematicians, and scientists who are interested in a graphic, yet rigorous, presentation of form and spatlal options. This little book will be a delightful addition to the libraries of those readers who are entranced by the intriguing subject of polyhedra.
Book Synopsis A Plethora of Polyhedra in Origami by : John Montroll
Download or read book A Plethora of Polyhedra in Origami written by John Montroll and published by Courier Corporation. This book was released on 2002-01-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Step-by-step instructions and 970 clear diagrams show beginning and experienced paperfolders how to create 27 amazing polyhedra from one sheet of paper. Graded according to difficulty, the projects range from a simple cube, tetrahedron and octahedron to a challenging rhombic dodecahedron, sunken icosahedron, and an antidiamond with pentagonal base.
Book Synopsis Multimodular Origami Polyhedra by : Rona Gurkewitz
Download or read book Multimodular Origami Polyhedra written by Rona Gurkewitz and published by Courier Corporation. This book was released on 2003-03-03 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the link between paperfolding and mathematics with this unique, well-illustrated guide to creating a world of multifaceted wonders that draws on elements of crystallography. Photographs, diagrams, and charts show how to apply mathematical principles to the origami waterbomb base to create geodesic forms. Detailed instructions, clear diagrams.
Book Synopsis Beginner's Book of Modular Origami Polyhedra by : Rona Gurkewitz
Download or read book Beginner's Book of Modular Origami Polyhedra written by Rona Gurkewitz and published by Courier Corporation. This book was released on 2012-03-07 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: This manual features 17 easy-to-master projects involving the Platonic solids: the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Includes detailed diagrams and photos of all the completed models.
Book Synopsis Integer Points in Polyhedra by : Alexander Barvinok
Download or read book Integer Points in Polyhedra written by Alexander Barvinok and published by European Mathematical Society. This book was released on 2008 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained exposition of several core aspects of the theory of rational polyhedra with a view towards algorithmic applications to efficient counting of integer points, a problem arising in many areas of pure and applied mathematics. The approach is based on the consistent development and application of the apparatus of generating functions and the algebra of polyhedra. Topics range from classical, such as the Euler characteristic, continued fractions, Ehrhart polynomial, Minkowski Convex Body Theorem, and the Lenstra-Lenstra-Lovasz lattice reduction algorithm, to recent advances such as the Berline-Vergne local formula. The text is intended for graduate students and researchers. Prerequisites are a modest background in linear algebra and analysis as well as some general mathematical maturity. Numerous figures, exercises of varying degree of difficulty as well as references to the literature and publicly available software make the text suitable for a graduate course.
Book Synopsis Polyhedra and Beyond by : Vera Viana
Download or read book Polyhedra and Beyond written by Vera Viana and published by Springer Nature. This book was released on 2022-07-09 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects papers based on talks given at the conference “Geometrias'19: Polyhedra and Beyond”, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal. These papers explore the conference’s theme from an interdisciplinary standpoint, all the while emphasizing the relevance of polyhedral geometry in contemporary academic research and professional practice. They also investigate how this topic connects to mathematics, art, architecture, computer science, and the science of representation. Polyhedra and Beyond will help inspire scholars, researchers, professionals, and students of any of these disciplines to develop a more thorough understanding of polyhedra.
Book Synopsis Map Coloring, Polyhedra and the FourColor Problem by : David W. Barnette
Download or read book Map Coloring, Polyhedra and the FourColor Problem written by David W. Barnette and published by American Mathematical Soc.. This book was released on 1984-03-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Origami Polyhedra Design by : John Montroll
Download or read book Origami Polyhedra Design written by John Montroll and published by CRC Press. This book was released on 2009-10-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations.
