# Search Results for "geodesic-math-and-how-to-use-it"

## Geodesic Math and how to Use it

**Author**: Hugh Kenner**Publisher:**Univ of California Press**ISBN:**9780520239319**Category:**Architecture**Page:**172**View:**8160

In 1976 literary critic Hugh Kenner published this fully-illustrated practical manual for the construction of geodesic domes, which had been invented 25 years previously by R. Buckminster Fuller. Now returned to print for the first time since 1990.

## Spherical Models

**Author**: Magnus J. Wenninger**Publisher:**Courier Corporation**ISBN:**0486143651**Category:**Mathematics**Page:**176**View:**2296

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

*Geodesics and the Orderly Subdivision of the Sphere*

**Author**: Edward S. Popko**Publisher:**CRC Press**ISBN:**1466504307**Category:**Mathematics**Page:**532**View:**2155

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.

## Geodesic Domes

*Demonstrated and Explained with Cut-out Models*

**Author**: Borin Van Loon**Publisher:**Parkwest Publications**ISBN:**9780906212929**Category:**Juvenile Nonfiction**Page:**60**View:**5616

By combining model making with explanations this books is able to give a very informative and practical introduction to domes and their underlying geometry.

## A Fuller Explanation

*The Synergetic Geometry of R. Buckminster Fuller*

**Author**: Amy C. Edmondson**Publisher:**Springer Science & Business Media**ISBN:**1468474855**Category:**Mathematics**Page:**302**View:**4935

In a broad sense Design Science is the grammar of a language of images rather than of words. Modern communication techniques enable us to transmit and reconstitute images without the need of knowing a specific verbal sequential language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multidimensional. Architectural renderings commonly show projections onto three mutually perpendicular planes, or consist of cross sections at differ ent altitudes representing a stack of floor plans. Such renderings make it difficult to imagine buildings containing ramps and other features which disguise the separation between floors; consequently, they limit the creativity of the architect. Analogously, we tend to analyze natural structures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures.

## Polyhedra

*A Visual Approach*

**Author**: Anthony Pugh**Publisher:**Univ of California Press**ISBN:**9780520030565**Category:**Dômes géodésiques**Page:**118**View:**4740

## American Dreamer

*Bucky Fuller & the Sacred Geometry of Nature*

**Author**: Scott Eastham**Publisher:**James Clarke & Co.**ISBN:**0718830318**Category:**Biography & Autobiography**Page:**206**View:**1292

Looking to expose the ways in which Fuller's synergetics can be seen in the ancient iconographies of the past in almost every human culture, this book also shows how the 'wholes' of Fuller's figures may find artistic applications within the future.

## Illustrated Dome Building

**Author**: Gene Hopster**Publisher:**Domeplans Press**ISBN:**9780976911609**Category:**House & Home**Page:**96**View:**5327

Building a hoome? want an inexpensve, easy way to build home? Consider the owrld famous Hexadom! Dome homes offer maximum strength and space for the least cost. Domes are super-saving energy effcient, saving thousands of dollars year after year.Plus, they require les upkeep! This book shows you how! ILLUSTRATED DOME BUILDING is essential for anyone planning this energy-saving, low-cost home. Leadsd you step-by-step through the complete process of buiding a 25' or 32' diameter Hexadome! Includes the handy "Work Schedule for the Do-It-Yourselfer" and outlines the sequence of work from stakes to completing. Offers sound advice on common pitfalls to avoid.The NEW definitive layman's book! By the designer of Hexadome! For those who need help in building, here are the complete plans, material listing, and much more. Gene Hopster has designed and constructed thousands of domes since 1975.

## Resources for Teaching Discrete Mathematics

*Classroom Projects, History Modules, and Articles*

**Author**: Brian Hopkins**Publisher:**MAA**ISBN:**9780883851845**Category:**Mathematics**Page:**323**View:**880

Resources for Teaching Discrete Mathematics presents nineteen classroom tested projects complete with student handouts, solutions, and notes to the instructor. Topics range from a first day activity that motivates proofs to applications of discrete mathematics to chemistry, biology, and data storage. Other projects provide: supplementary material on classic topics such as the towers of Hanoi and the Josephus problem, how to use a calculator to explore various course topics, how to employ Cuisenaire rods to examine the Fibonacci numbers and other sequences, and how you can use plastic pipes to create a geodesic dome. The book contains eleven history modules that allow students to explore topics in their original context. Sources range from eleventh century Chinese figures that prompted Leibniz to write on binary arithmetic, to a 1959 article on automata theory. Excerpts include: Pascal's "Treatise on the Arithmetical Triangle," Hamilton's "Account of the Icosian Game," and Cantor's (translated) "Contributions to the Founding of the Theory of Transfinite Numbers." Five articles complete the book. Three address extensions of standard discrete mathematics content: an exploration of historical counting problems with attention to discovering formulas, a discussion of how computers store graphs, and a survey connecting the principle of inclusion-exclusion to Möbius inversion. Finally, there are two articles on pedagogy specifically related to discrete mathematics courses: a summary of adapting a group discovery method to larger classes, and a discussion of using logic in encouraging students to construct proofs.

## CRC Concise Encyclopedia of Mathematics, Second Edition

**Author**: Eric W. Weisstein**Publisher:**CRC Press**ISBN:**1420035223**Category:**Mathematics**Page:**3252**View:**3459

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 dedication of author Eric Weisstein to collecting, cataloging, and referencing mathematical facts, formulas, and definitions. He has now updated most of the original entries and expanded the Encyclopedia to include 1000 additional pages of illustrated entries. The accessibility of the Encyclopedia along with its broad coverage and economical price make it attractive to the widest possible range of readers and certainly a must for libraries, from the secondary to the professional and research levels. For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available.

## Dome builder's handbook

**Author**: William Yarnall**Publisher:**N.A**ISBN:**N.A**Category:**Architecture**Page:**126**View:**5586

## Spherical Trigonometry

**Author**: J. D. Donnay**Publisher:**Read Books Ltd**ISBN:**1446546926**Category:**Mathematics**Page:**92**View:**1355

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. Pomona Press are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

## Euler's Gem

*The Polyhedron Formula and the Birth of Topology*

**Author**: David S. Richeson**Publisher:**Princeton University Press**ISBN:**0691154570**Category:**Mathematics**Page:**317**View:**7551

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 formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. 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. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula'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.

## A Tour of Subriemannian Geometries, Their Geodesics and Applications

**Author**: Richard Montgomery**Publisher:**American Mathematical Soc.**ISBN:**0821841653**Category:**Mathematics**Page:**259**View:**646

Subriemannian geometries can be viewed as limits of Riemannian geometries. They arise naturally in many areas of pure (algebra, geometry, analysis) and applied (mechanics, control theory, mathematical physics) mathematics, as well as in applications (e.g., robotics). This book is devoted to the study of subriemannian geometries, their geodesics, and their applications. It starts with the simplest nontrivial example of a subriemannian geometry: the two-dimensional isoperimetric problem reformulated as a problem of finding subriemannian geodesics. Among topics discussed in other chapters of the first part of the book are an elementary exposition of Gromov's idea to use subriemannian geometry for proving a theorem in discrete group theory and Cartan's method of equivalence applied to the problem of understanding invariants of distributions. The second part of the book is devoted to applications of subriemannian geometry. In particular, the author describes in detail Berry's phase in quantum mechanics, the problem of a falling cat righting herself, that of a microorganism swimming, and a phase problem arising in the $N$-body problem. He shows that all these problems can be studied using the same underlying type of subriemannian geometry. The reader is assumed to have an introductory knowledge of differential geometry. This book that also has a chapter devoted to open problems can serve as a good introduction to this new, exciting area of mathematics.

## The Elsewhere Community

**Author**: Hugh Kenner**Publisher:**House of Anansi**ISBN:**0887848826**Category:**Biography & Autobiography**Page:**128**View:**6931

Acclaimed literary critic Hugh Kenner examines Western culture's insatiable need for stimulation encountered elsewhere - from the eighteenth century's Grand Tour, to the self-imposed exile of modernist writers, to the disembodied global journeys the Internet avails us today. Kenner brings to this fascinating study knowledge of a wide array of disciplines. Hugh Kenner has written on topics ranging from geodesic domes to Bugs Bunny, but is perhaps best known for The Pound Era, his definitive study of Ezra Pound's life and work.

## Ricci Flow and the Poincaré Conjecture

**Author**: John W. Morgan,G. Tian**Publisher:**American Mathematical Soc.**ISBN:**9780821843284**Category:**Mathematics**Page:**521**View:**4654

For over 100 years the Poincare Conjecture, which proposes a topological characterization of the 3-sphere, has been the central question in topology. Since its formulation, it has been repeatedly attacked, without success, using various topological methods. Its importance and difficulty were highlighted when it was chosen as one of the Clay Mathematics Institute's seven Millennium Prize Problems. In 2002 and 2003 Grigory Perelman posted three preprints showing how to use geometric arguments, in particular the Ricci flow as introduced and studied by Hamilton, to establish the Poincare Conjecture in the affirmative. This book provides full details of a complete proof of the Poincare Conjecture following Perelman's three preprints. After a lengthy introduction that outlines the entire argument, the book is divided into four parts. The first part reviews necessary results from Riemannian geometry and Ricci flow, including much of Hamilton's work. The second part starts with Perelman's length function, which is used to establish crucial non-collapsing theorems. Then it discusses the classification of non-collapsed, ancient solutions to the Ricci flow equation. The third part concerns the existence of Ricci flow with surgery for all positive time and an analysis of the topological and geometric changes introduced by surgery. The last part follows Perelman's third preprint to prove that when the initial Riemannian 3-manifold has finite fundamental group, Ricci flow with surgery becomes extinct after finite time. The proofs of the Poincare Conjecture and the closely related 3-dimensional spherical space-form conjecture are then immediate. The existence of Ricci flow with surgery has application to 3-manifolds far beyond the Poincare Conjecture. It forms the heart of the proof via Ricci flow of Thurston's Geometrization Conjecture. Thurston's Geometrization Conjecture, which classifies all compact 3-manifolds, will be the subject of a follow-up article. The organization of the material in this book differs from that given by Perelman. From the beginning the authors present all analytic and geometric arguments in the context of Ricci flow with surgery. In addition, the fourth part is a much-expanded version of Perelman's third preprint; it gives the first complete and detailed proof of the finite-time extinction theorem. With the large amount of background material that is presented and the detailed versions of the central arguments, this book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology. Clay Mathematics Institute Monograph Series The Clay Mathematics Institute Monograph Series publishes selected expositions of recent developments, both in emerging areas and in older subjects transformed by new insights or unifying ideas.

## The Biodome Garden Book

*The Only Greenhouse Design That Needs No Electrical Ventilation Or Humidifying System*

**Author**: Patricia Watters**Publisher:**Createspace Independent Pub**ISBN:**9781463757014**Category:**Gardening**Page:**118**View:**5141

FULL-COLOR EDITION QUOTES FROM THOSE WHO KNOW: THE OPENING OF THE FIRST BIODOME GARDEN IN OTTAWA - AUGUST 27, 2014 "On August 17, 2014 the Brewer Park Community Garden (BPCG), situated across from Brewer Arena, celebrated the grand opening of Ottawa's first Biodome Garden project. To commemorate the day, the Park hosted a ribbon cutting ceremony along with an afternoon of events, including a barbecue and tours of the Biodome and gardens... When asked about the inspiration for the Biodome Garden, Oster credited the ever-enduring spirit of his co-project leader, Guy Souliere and the pages of Patricia Watters' book, The Biodome Garden Book..." "The completion of the Biodome Garden marks an historic moment for Ottawa. The project is the first structure of its kind in Eastern Canada, making it an exciting achievement that sets a high standard and precedence for future similar structures to be built in the Region." "It is the hope of the Brewer Park Community Garden that this innovative project will be replicated many times in several different forms across the City and Ottawa Region. Its replication could shape the beginning of a much more healthy and sustainable food culture across Ottawa." --SPACING MAGAZINE "Even before the advent of biodomes, experimentation had already begun with domed enclosures that could sustain year-round gardens. At the forefront was Patricia Watters, author of the “The Biodome Garden Book,” the premier book on passive-solar biodome greenhouse gardening. (WHOLE LIFE TIMES MAGAZINE) “May as well start off with the most comprehensive food production system that I have ever come across. A wonderful lady named Patricia Watters has written a book on how to construct a system that not only produces produce, but also fish, (a great protein source) in an environment that does not require sprays or the traditional heating and electrical expenses associated with green house systems." (GEOFF LAWTON - PERMACULTURE INNOVATOR) FOR PHOTOS AND INFORMATION ABOUT THE BIODOME GARDEN PLEASE GO TO: www.biodomegarden.com