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Description
Shapes, Space, and Symmetry"Altogether a most instructive, entertaining, and esthetically pleasing book." Science. Since the ancient Greeks, the visualization of space has been a challenge that has intrigued men of learning. Through centuries of thoughtful looking, a number of three dimensional figures or polyhedral, as the Greeks called them, have been discovered, admired, and wondered at for their mathematical elegance and beauty. And they have been put to use in remarkably
"Altogether a most instructive, entertaining, and esthetically pleasing book." -- Science.Since the ancient Greeks, the visualization of space has been a challenge that has intrigued men of learning. Through centuries of thoughtful looking, a number of three-dimensional figures or polyhedral, as the Greeks called them, have been discovered, admired, and wondered at for their mathematical elegance and beauty. And they have been put to use in remarkably diverse ways by engineers and builders, chemists and crystallographers, architects and sculptors.
This book describes very clearly and simply, and illustrates with beautiful photographs of models, a great number of three-dimensional figures, all but a few consisting of plane faces bounded by straight lines. It examines the nine regular solids -- the five commonly called Platonic, described by Theaetetus in the fourth century B.C., and the four called Kepler-Poinsot, two each of which were discovered by Kepler and Poinsot many centuries later. And it examines many variations obtained by truncation, stellation, dualization, and compounding.
Writing for the layman as well as the student or professional in mathematics, Alan Holden explains the structure of the figures and demonstrates how they can be used to explain mathematics visually rather than by symbol systems, an effort hailed by Scientific American magazine as "a victory of clear, connected thinking over the theorematic method." At the end of the book the author includes a section containing instructions for constructing cardboard models.
Binding Type: Paperback
Publisher: Dover Publications
Published: 03/14/2012
ISBN: 9780486268514
Pages: 208
Weight: 0.65lbs
Size: 8.90h x 5.90w x 0.60d
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4.8 ★★★★★
Based on 10 reviews
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Product Reviews
★★★★★ 5
Excellent Book
Format: Hardcover
Stanford University History Professor Gienapp has done an outstanding job of researching and writing this historical analysis of the interpretation of the American Constitution by America's first Congress. Professor Gienapp analyzes data primarily from Congress's problems interpreting the removable of executive officers, chartering a national bank and approval of the 1794 Treaty with Great Britain negotiated by Chief Justice John Jay, the "Jay Treaty." Gienapp shows in clear writing how Congress used records of the debates at the Constitutional Convention and State Ratification Conventions to resolve these constitutional issues. I highly recommend this book to anyone concerned with the interpretation of the American Constitution.
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Reviewed in the United States on July 18, 2020
★★★★★ 5
An analysis of how we came to think about the Constitution the way we do
Format: Kindle
It provides a detailed analysis of the arguments used to talk about the Constitution in the ten years after it was ratified. These arguments shifted from treating it as a preliminary draft to be perfected through filling in the details of the operation of the government through experience, to a sacred document that had to be interpreted to determine its "true" meaning.
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Reviewed in the United States on December 18, 2018
★★★★★ 5
Transcends the Historiography on the Constitution
Format: Hardcover
“This is the most important book to be written on the Constitution since Gordon Wood’s Creation.”
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Reviewed in the United States on May 9, 2020
★★★★★ 2
I Really Wanted to Like This, But...
Format: Audiobook
My 2 star review is entirely due to the audio performance. While the premise and scholarly research in this book is fascinating, the narration is anything but. The narrator speaks, and at times even PERFORMS, every "quote" and "unquote" no matter where they are in the text. In a long (20 hours) book relying heavily on quotations, this narrative choice dramatically detracts from the listener's ability to absorb the material. One wonders why he doesn't say, "period," after every sentence! In addition, he sounds like he's spraying a lot of spit at the mike while speaking. Yes, euw.
I listen to 3-8 audiobooks a week, and have done so since the early 1990s, so this isn't my first, or even my first scholarly, audiobook. The better narrators designate quoted text with a shift in vocal tone or slight pause. If you are considering this book, I hope you choose the print version.
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Reviewed in the United States on November 5, 2021
★★★★★ 3
Good to excellent content - terrible publishing policy
Format: Hardcover
Lewis (Not "Flewis") wrote a decent text a number of years ago. It was then expanded to a companion volume (Analytical Sedimentology) with another author. The two nicely complement each other but the mind boggles at a price of almost $100 per each. The publisher has clearly made little effort to control the cost. Redundancy between the two volumes is excessive, hard cover rather than soft is used and, indeed, both could easily have been combined in one less pricey volume. A valuable resource to students and professionals has therefore been compromised by publisher, author or both due to ignorance, greed or stupidity. A terrible shame!
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Reviewed in the United States on January 5, 1998