Search results for: polyhedron-models

Polyhedron Models

Author : Magnus J. Wenninger
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An explicit guide to the geometric principles, design, and construction of complex polyhedral figures

Polyhedron Models

Author : Magnus J. Wenninger
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Models of the regular and semi-regular polyhedral solids have fascinated people for centuries. The Greeks knew the simplest of them. Since then the range of figures has grown; 75 are known today and are called, more generally, 'uniform' polyhedra. The author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms. Fully illustrated with drawings and photographs, this is the first practical guide to making these intricate and beautiful solids.

Polyhedron Models

Author : Magnus J. Wenninger
File Size : 86.32 MB
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Models of the regular and semi-regular polyhedral solids have fascinated people for centuries. The Greeks knew the simplest of them. Since then the range of figures has grown; 75 are known today and are called, more generally, 'uniform' polyhedra. The author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms. Fully illustrated with drawings and photographs, this is the first practical guide to making these intricate and beautiful solids.

Dual Models

Author : Magnus J. Wenninger
File Size : 79.1 MB
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An enthusiastic presentation of the complex set of uniform duals of uniform polyhedral shapes.

Theory and Applications of Models of Computation

Author : Manindra Agrawal
File Size : 44.8 MB
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This book constitutes the refereed proceedings of the 9th International Conference on Theory and Applications of Models of Computation, TAMC 2012, held in Beijing, China, in May 2012. The conference was combined with the Turing Lectures 2012, dedicated to celebrating Alan Turing’s unique impact on mathematics, computing, computer science, informatics, morphogenesis, philosophy, and the wider scientific world. Eight Turing Lectures were given at the TAMC 2012. The 40 revised full papers presented together with invited talks were carefully reviewed and selected from 86 submissions. The papers address 4 special sessions at TAMC 2012 which were algorithms and information in networks, complexity and cryptography, models of computing and networking, programming and verification.

Polyhedra

Author : Peter R. Cromwell
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This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics.

Polyhedral Stellation

Author : LLC Books
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Chapters: List of Wenninger polyhedron models, The Fifty Nine Icosahedra, Final stellation of the icosahedron, Small stellated dodecahedron, Compound of five tetrahedra, Great stellated dodecahedron, Great icosahedron, Great dodecahedron, Small triambic icosahedron, Compound of five cubes, Compound of five octahedra, Stellated octahedron, Compound of ten tetrahedra, Compound of great icosahedron and great stellated dodecahedron, Compound of cube and octahedron, Compound of dodecahedron and icosahedron, . Source: Wikipedia. Pages: 62. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: This table contains an indexed list of the Uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger. The book was written as a guide book to building polyhedra as physical models. It includes templates of face elements for construction and helpful hints in building, and also brief descriptions on the theory behind these shapes. It contains the 75 nonprismatic uniform polyhedra, as well as 44 stellated forms of the convex regular and semiregular polyhedra. This list was written to honor this early polyhedral work from Wenninger, and to provide a detailed reference to the 119 numbered models in his book. Models listed here can be cited as "Wenninger Model Number N," or WN for brevity. The polyhedra are grouped below in 5 tables: Regular (1-5), Semiregular (6-18), regular star polyhedra (20-22,41), Stellations and compounds (19-66), and uniform star polyhedra (67-119). The four regular star polyhedra are listed twice because they belong to both the uniform polyhedra and stellation groupings. M. Wenninger, Polyhedron Models, Errata: known errors in the various editions. ...More: http: //booksllc.net/?id=2915428

Spherical Models

Author : Magnus J. Wenninger
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Well-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes. Complete instructions for making models from circular bands of paper with just a ruler and compass. 1979 edition.

Distributed Computing and Internet Technology

Author : Tomasz Janowski
File Size : 47.33 MB
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LNCS 5966

Origami 4

Author : Robert J. Lang
File Size : 83.59 MB
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The connections between origami, mathematics, science, technology, and education have been a topic of considerable interest now for several decades. While many individuals have happened upon discrete connections among these fields during the twentieth century, the field really took off when previously isolated individuals began to make stronger connections with each other through a series of conferences exploring the links between origami and "the outside world." The Fourth International Meeting on Origami in Science, Mathematics, and Education (4OSME), held in September, 2006, at the California Institute of Technology in Pasadena, California, brought together an unprecedented number of researchers presenting on topics ranging from mathematics, to technology, to educational uses of origami, to fine art, and to computer programs for the design of origami. Selected papers based on talks presented at that conference make up the book you hold in your hands.

Katachi Symmetry

Author : Tohru Ogawa
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In Japanese culture the concept of katachi has special significance, connoting relationships and connectedness. Although katachi cannot be translated precisely, it corresponds most closely to "form," "shape," "pattern," or "Gestalt". The contemporary study of katachi is interdisciplinary and encompasses virtually all scientific and aesthetic endeavors. Katachi research seeks to bridge the gap between cultures - whether the "two cultures" of C.P. Snow or the contrasting cultures of East and West. To help achieve this aim and to foster international cooperation, the interdisciplinary symposium titled "Katachi "U" Symmetry" was convened in Tsukuba, Japan, November 21 - 25, 1994. With many participants from differing backgrounds and cultural perspectives, the symposium was the culmination of 15 years of work in the field. Like-minded researchers and philosophers came together from two movements in interdisciplinary studies of katachi and symmetry that arose in the 1980s, one in Japan, the other in Hungary. The proceedings of the symposium will stimulate and provoke the interest of scientists and mathematicians, engineers and architects, philosophers and semioticians - indeed, all those with a lively sense of curiosity and a wide-ranging intellect.

Multimodular Origami Polyhedra

Author : Rona Gurkewitz
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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. Detailed instructions, clear diagrams.

Polyhedra

Author : Anthony Pugh
File Size : 37.77 MB
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Origami Polyhedra Design

Author : John Montroll
File Size : 37.70 MB
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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.

Foundations of 3D Graphics Programming

Author : Jim X. Chen
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OpenGL, which has been bound in C, is a seasoned graphics library for scientists and engineers. As we know, Java is a rapidly growing language becoming the de facto standard of Computer Science learning and application development platform as many undergraduate computer science programs are adopting Java in place of C/C++. Released by Sun Microsystems in June 2003, the recent OpenGL binding with Java, JOGL, provides students, scientists, and engineers a new venue of graphics learning, research, and applications. Overview This book aims to be a shortcut to graphics theory and programming in JOGL. Specifically, it covers OpenGL programming in Java, using JOGL, along with concise computer graphics theories. It covers all graphics basics and several advanced topics without including some implementation details that are not necessary in graphics applications. It also covers some basic concepts in Java programming for C/C++ programmers. It is designed as a textbook for students who know programming basics already. It is an excellent shortcut to learn 3D graphics for scientists and engineers who understand Java programming. It is also a good reference for C/C++ graphics vi Preface programmers to learn Java and JOGL. This book is a companion to Guide to Graphics Software Tools (Springer-Verlag, New York, ISBN 0-387-95049-4), which covers a smaller graphics area with similar examples in C but has a comprehensive list of graphics software tools. Organization and Features This book concisely introduces graphics theory and programming in Java with JOGL.

Guide to Graphics Software Tools

Author : Jim X. Chen
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CD-ROM contains: Source code -- Executables.

Shaping Space

Author : Marjorie Senechal
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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.

Beginner s Book of Modular Origami Polyhedra

Author : Rona Gurkewitz
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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.

Uncertain Projective Geometry

Author : Stephan Heuel
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Algebraic projective geometry, with its multilinear relations and its embedding into Grassmann-Cayley algebra, has become the basic representation of multiple view geometry, resulting in deep insights into the algebraic structure of geometric relations, as well as in efficient and versatile algorithms for computer vision and image analysis. This book provides a coherent integration of algebraic projective geometry and spatial reasoning under uncertainty with applications in computer vision. Beyond systematically introducing the theoretical foundations from geometry and statistics and clear rules for performing geometric reasoning under uncertainty, the author provides a collection of detailed algorithms. The book addresses researchers and advanced students interested in algebraic projective geometry for image analysis, in statistical representation of objects and transformations, or in generic tools for testing and estimating within the context of geometric multiple-view analysis.

A Mathematical Tapestry

Author : Peter Hilton
File Size : 36.22 MB
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This easy-to-read 2010 book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.