Polyhedron Models For The Classroom
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Polyhedron Models For The Classroom
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Author : Magnus J. Wenninger
language : en
Publisher:
Release Date : 1978
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 1978 with categories.
Polyhedron Models For The Classroom
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Author : Magnus Wenninger
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2011-09
Polyhedron Models For The Classroom written by Magnus Wenninger and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09 with categories.
The study of polyhedra is an ancient one, going back to the dawn of history. It is especially those polyhedra called uniform that have evoked the greatest interest and provided the most fascination. It should therefore be of special usefulness in classrooms today for students to see and handle paper models they have made. Making models is a genuine outlet for the creative spirit, and it can also stimulate interest in the study of mathematics. The cube, the tetrahedron, the cone, the cylinder, the sphere, shown on the front cover, are basic objects in such a study. This booklet gives instructions on how to make models like the cube and the tetrahedron. The cube has six square faces and the tetrahedron has four triangular faces. Models with faces that are other polygons, such as pentagons, hexagons, etc., are also shown in this booklet. The cone with a circular base and the cylinder with circular top and base and the sphere belong to higher mathematics. The models in this booklet when made will enhance the appearance of the classroom. The Addendum gives computer links where further help and information can be found.
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.
Paper Folding Models From The Geometry Classroom
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Author : Thomas E. Cooper, III
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-08-04
Paper Folding Models From The Geometry Classroom written by Thomas E. Cooper, III and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-04 with categories.
In this book, Dr. Cooper presents instructions and diagrams for making modular origami models inspired by his geometry classes. The models include two- and three-dimensional dissections and Dr. Cooper's Polyhedron Strip Modules. These versatile modules allow users to build dozens of polyhedra with regular triangle, square, pentagon, and hexagon faces. These are fun to build for Geometry and Origami enthusiasts alike.
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.
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.
The Coxeter Legacy
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Author : Harold Scott Macdonald Coxeter
language : en
Publisher: American Mathematical Soc.
Release Date :
The Coxeter Legacy written by Harold Scott Macdonald Coxeter and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This collection of essays on the legacy of mathematican Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists.
Zome Geometry Hands On Learning With Zome Models
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Author : George W. Hart
language : en
Publisher: Key Curriculum Press
Release Date : 2001
Zome Geometry Hands On Learning With Zome Models written by George W. Hart and has been published by Key Curriculum Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Euler's numbers categories.
Written by George W. Hart, a mathematician and artist, and Henri Picciotto, an innovative teacher, the activities are based on a deep understanding of polyhedra and practical classroom experience. Students discover relationships in something they have built themselves, they understand and remember the concepts.
Spherical Models
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Author : Magnus J. Wenninger
language : en
Publisher: Courier Corporation
Release Date : 2014-05-05
Spherical Models written by Magnus J. Wenninger and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Mathematics categories.
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.
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