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Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere download epub

by Edward S. Popko


Epub Book: 1894 kb. | Fb2 Book: 1294 kb.

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 forecasts and fish farming. What’s Inside gives you the details and shows you how.

Edward Popko’s Divided Spheres is the definitive source for the many varied ways a sphere can be divided and subdivided. From domes and pollen grains to golf balls, every category and type is elegantly described in these pages. The mathematics and the images together amount to a marvelous collection, one of those rare works that will be on the bookshelf of anyone with an interest in the wonders of geometry. Kenneth Snelson, Sculptor and Photographer. Shoji Sadao, Architect, Cartographer, and Lifelong Business Partner of Buckminster Fuller.

1 Defining the Principal triangle . 2 Edge Reference Points.

taught me how the method worked and encouraged me to write one of the first computer graphics programs based on it in the 1960s. A section of this book outlines Stuart’s method and shows how it made domes practical to build. Stuart’s method is used today in many applications unrelated to geodesic domes.

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. Table of contents.

This well-illustrated book-in color throughout-presents a thorough introduction to the mathematics of. .

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.

Divided Spheres book. The author explains the principles of spherical design and the three main categories of subdivision based on 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.

oceedings{Popko2012DividedSG, title {Divided Spheres: Geodesics and the . The author explains the principles of spherical design and the three main categories of subdivision based on geometric solids (polyhedra)

Edward Popko’s Divided Spheres is the definitive source for the many varied ways a sphere can be divided and subdivided. From domes and pollen grains to golf balls, every category and type is elegantly described in these pages

Edward Popko’s Divided Spheres is the definitive source for the many varied ways a sphere can be divided and subdivided.

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.


Comments: (7)

MilsoN
This book is a meticulous exposition of a subject far more complex than it sounds.
Dividing a sphere into discrete regular or irregular shapes has surprising results.
The pictures he generates are so very pretty that they could be used for aesthetics alone.
Buy it for your coffee table, if not for its math, physics, and engineering value.

During my own research into this subject I discovered that
charges on a sphere move continuously over time for most distributions
(with a few exceptions like vertices on regular solids and soccer ball panels),
Amongst a few of the many unexpected examples mr. Popko describes and illustrates,
he generously references my work.
Cia
This handsome, beautifully illustrated primer is authored by a career geodesic dome engineer with a sense of the big picture, including the history. I found plenty of mathematical trail heads leading off in various directions, all worth exploring, with a core of spherical trigonometry.

Yes, my own writing is in the bibliography, which may color my opinion, but to me this just means Edward Popko (whom I have not met) was extremely thorough and really did his homework for this tome, including exploring a lot of obscure topics. Amy Edmondson's A Fuller Explanation: The Synergetic Geometry of R Buckminster Fuller is likewise cited, helping weave together a story that is still unfolding today.
adventure time
This book is the starting point for understanding geodesics and spherical mathematics and nomenclature. It is far from Spheres for dummies but the author is careful when introducing new terms and concepts. I highly recommend this book as a starting point before tackling such books as Fullers Synergetics.
Gela
I wanted to learn about geodesics from a historical and design perspective and this proved to be a meticulous and enlightening resource. It would make an excellent college text for a geodesic architecture class. Very well written and illustrated.
Helo
great book and cheap, for a text. I was in like new condition.

EZ
Anicasalar
I admit I have difficulty wending my way through even the most basic science books, but I'm still curious about all aspects of science, and Ed Popko's DIVIDED SPHERES caught my eye and I picked it up and read it cover to cover with enthusiasm. Clear enough for the layman yet detailed enough for scientists and architects, the book covers spheres from every imaginable angle. The illustrations are stunning and help move the story along. And believe it or not there is a story here, too, one of discovery and invention of the highest order. I admit that some of the math was over my head, but then again I only got a "C" in college chemistry. Yet the narrative and the fascinating mix of ideas were enough to keep me up reading late at night. For anyone who loves a good story and cutting-edge science, this book about spheres is sure to please. The stuff on golf balls alone is worth the price of admission.
Nto
The first question for any prospective buyer is "What the heck is the book about?"
The short answer is this: Bucky balls and golf balls.
A longer answer is a question: Like me, have you been curious about the hemispherical buildings that are growing up everywhere?
This book explains them. Spheres have been optimized to the point that these buildings are economical to construct.
Fantastic book. I'd give the Kindle "print replica" edition 5 stars if it weren't for the omission of the 10-page index which is part of the printed book.
Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere download epub
Science & Mathematics
Author: Edward S. Popko
ISBN: 1466504293
Category: Other
Subcategory: Science & Mathematics
Language: English
Publisher: A K Peters/CRC Press; 1 edition (July 30, 2012)
Pages: 532 pages