Polyhedron Models

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Polyhedron Models

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Author : Magnus J. Wenninger
language : en
Publisher: Cambridge University Press
Release Date : 1971

Polyhedron Models written by Magnus J. Wenninger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.

he author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms.

Polyhedron Models For The Classroom

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Author : Magnus J. Wenninger
language : en
Publisher:
Release Date : 1966

Polyhedron Models For The Classroom written by Magnus J. Wenninger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Polyhedra categories.

Polyhedra

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Author : Peter R. Cromwell
language : en
Publisher: Cambridge University Press
Release Date : 1997

Polyhedra written by Peter R. Cromwell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

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.

Dual Models

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Author : Magnus J. Wenninger
language : en
Publisher: Cambridge University Press
Release Date : 1983-12-30

Dual Models written by Magnus J. Wenninger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-12-30 with Mathematics categories.

In Dual Models, written in the same enthusiastic style as its predecessors Polyhedron Models and Spherical Models, Magnus J. Wenninger presents the complete set of uniform duals of uniform polyhedral, thus rounding out a significant body of knowledge with respect to polyhedral forms. He begins with the simplest convex solids but then goes on to show how all the more difficult, non convex, uniform polyhedral duals can be derived from a geometric theorem on duality that unifies and systematizes the entire set of such duals. Many of these complex shapes are published here for the first time. Models made by the author are shown in photographs, and these, along with line drawings, diagrams, and commentary, invite readers to undertake the task of making the models, using index cards or tag paper and glue as construction materials. The mathematics is deliberately kept at the high school or secondary level, and hence the book presumes at most some knowledge of geometry and ordinary trigonometry and the use of a scientific type small electronic calculator. The book will be useful as enrichment material for the mathematics classroom and can serve equally well as a source book of ideas for artists and designers of decorative devices or simply as a hobby book in recreational mathematics.

Dual Models

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Author : Magnus J. Wenninger
language : en
Publisher: Cambridge University Press
Release Date : 2003-10-16

Dual Models written by Magnus J. Wenninger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-16 with Mathematics categories.

An enthusiastic presentation of the complex set of uniform duals of uniform polyhedral shapes.

Divided Spheres

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Author : Edward S. Popko
language : en
Publisher: CRC Press
Release Date : 2012-07-30

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 2012-07-30 with Mathematics categories.

This well-illustrated book—in color throughout—presents 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 explains the principles of spherical design and the three main categories of subdivision based on geometric solids (polyhedra). He illustrates how basic and advanced CAD techniques apply to spherical subdivision and covers modern applications in product design, engineering, science, games, and sports balls.

Multimodular Origami Polyhedra

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Author : Rona Gurkewitz
language : en
Publisher: Courier Corporation
Release Date : 2012-03-08

Multimodular Origami Polyhedra written by Rona Gurkewitz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Crafts & Hobbies categories.

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.

Katachi Symmetry

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Author : Tohru Ogawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Katachi Symmetry written by Tohru Ogawa 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 2012-12-06 with Social Science categories.

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.

Crc Concise Encyclopedia Of Mathematics

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Author : Eric W. Weisstein
language : en
Publisher: CRC Press
Release Date : 2002-12-12

Crc Concise Encyclopedia Of Mathematics written by Eric W. Weisstein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-12 with Mathematics categories.

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Methods Of Structural Analysis Of Modulated Structures And Quasicrystals

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Author : J M Perez-mato
language : en
Publisher: World Scientific
Release Date : 1991-10-31

Methods Of Structural Analysis Of Modulated Structures And Quasicrystals written by J M Perez-mato and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-31 with categories.

By introducing the superspace formalism, the methods of structure analysis of incommensurate structures have achieved in the past few years a full maturity. The superspace description is also becoming in the field of quasicrystals the main tool to approach a systematic method of structure determination of these materials. According to the program of the Workshop, these proceedings are an introduction to the formalism and practice of structure determination of modulated structures (incommensurate and commensurate) and quasiperiodic systems, mainly under the unifying framework of the superspace description. Accordingly, a large set of tutorial introductory chapters written by well-known specialists are included. The main refinement programs available for incommensurate structures are presented by their authors. The book also contains the most recent contributions from more than thirty of the participants in the Workshop, focusing on the problem of the structure analysis of these typical materials by means of diffraction methods.