Regular Polytopes (Dover Books on Mathematics) and over one million other books are available for Amazon Kindle. Learn more

Sorry, this item is not available in
Image not available for
Color:
Image not available

To view this video download Flash Player

 


or
Sign in to turn on 1-Click ordering
More Buying Choices
Have one to sell? Sell yours here
Start reading Regular Polytopes (Dover Books on Mathematics) on your Kindle in under a minute.

Don't have a Kindle? Get your Kindle here, or download a FREE Kindle Reading App.

Regular Polytopes [Paperback]

by H. S. M. Coxeter
4.1 out of 5 stars  See all reviews (8 customer reviews)

List Price: $16.95
Price: $10.39 & FREE Shipping on orders over $35. Details
You Save: $6.56 (39%)
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
Only 10 left in stock (more on the way).
Ships from and sold by Amazon.com. Gift-wrap available.
Want it Monday, April 28? Choose Two-Day Shipping at checkout. Details
Free Two-Day Shipping for College Students with Amazon Student

Formats

Amazon Price New from Used from
Kindle Edition $9.87  
Hardcover --  
Paperback $10.39  
Unknown Binding --  
Sell Us Your Books
Get up to 80% back when you sell us your books, even if you didn't buy them at Amazon. Learn more

Book Description

June 1, 1973 0486614808 978-0486614809 3rd
Polytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite! H. S. M. Coxeter's book is the foremost book available on regular polyhedra, incorporating not only the ancient Greek work on the subject, but also the vast amount of information that has been accumulated on them since, especially in the last hundred years. The author, professor of Mathematics, University of Toronto, has contributed much valuable work himself on polytopes and is a well-known authority on them.
Professor Coxeter begins with the fundamental concepts of plane and solid geometry and then moves on to multi-dimensionality. Among the many subjects covered are Euler's formula, rotation groups, star-polyhedra, truncation, forms, vectors, coordinates, kaleidoscopes, Petrie polygons, sections and projections, and star-polytopes. Each chapter ends with a historical summary showing when and how the information contained therein was discovered. Numerous figures and examples and the author's lucid explanations also help to make the text readily comprehensible.
Although the study of polytopes does have some practical applications to mineralogy, architecture, linear programming, and other areas, most people enjoy contemplating these figures simply because their symmetrical shapes have an aesthetic appeal. But whatever the reasons, anyone with an elementary knowledge of geometry and trigonometry will find this one of the best source books available on this fascinating study.

Frequently Bought Together

Regular Polytopes + Shapes, Space, and Symmetry (Dover Books on Mathematics)
Price for both: $22.66

Buy the selected items together


Editorial Reviews

About the Author

H. S. M. Coxeter: Through the Looking Glass
Harold Scott MacDonald Coxeter (1907–2003) is one of the greatest geometers of the last century, or of any century, for that matter. Coxeter was associated with the University of Toronto for sixty years, the author of twelve books regarded as classics in their field, a student of Hermann Weyl in the 1930s, and a colleague of the intriguing Dutch artist and printmaker Maurits Escher in the 1950s.

In the Author's Own Words:
"I'm a Platonist — a follower of Plato — who believes that one didn't invent these sorts of things, that one discovers them. In a sense, all these mathematical facts are right there waiting to be discovered."

"In our times, geometers are still exploring those new Wonderlands, partly for the sake of their applications to cosmology and other branches of science, but much more for the sheer joy of passing through the looking glass into a land where the familiar lines, planes, triangles, circles, and spheres are seen to behave in strange but precisely determined ways."

"Geometry is perhaps the most elementary of the sciences that enable man, by purely intellectual processes, to make predictions (based on observation) about the physical world. The power of geometry, in the sense of accuracy and utility of these deductions, is impressive, and has been a powerful motivation for the study of logic in geometry."

"Let us revisit Euclid. Let us discover for ourselves a few of the newer results. Perhaps we may be able to recapture some of the wonder and awe that our first contact with geometry aroused." — H. S. M. Coxeter


Product Details

  • Paperback: 350 pages
  • Publisher: Dover Publications; 3rd edition (June 1, 1973)
  • Language: English
  • ISBN-10: 0486614808
  • ISBN-13: 978-0486614809
  • Product Dimensions: 8.5 x 5.4 x 0.7 inches
  • Shipping Weight: 13.6 ounces (View shipping rates and policies)
  • Average Customer Review: 4.1 out of 5 stars  See all reviews (8 customer reviews)
  • Amazon Best Sellers Rank: #369,591 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

4.1 out of 5 stars
(8)
4.1 out of 5 stars
Share your thoughts with other customers
Most Helpful Customer Reviews
24 of 24 people found the following review helpful
5.0 out of 5 stars Classic April 17, 2007
By T. Ruen
Format:Paperback
I just wanted to counter the previous reviewer. This book isn't intended as something for beginners, and certainly could only be well taught as a graduate level math course. Still if you're able to take in bits at a time, there's lots of beautiful theory and history of higher dimensional polytopes. A book that takes a lifetime to write can take a lifetime to appreciate, and this is such a book.
Comment | 
Was this review helpful to you?
29 of 33 people found the following review helpful
5.0 out of 5 stars Great. February 16, 1999
By A Customer
Format:Paperback
Thi is an excellent text that I recommend to anyone seriously interested in geometry.
The book enumerates all n-dimensional polytopes and aids in visualizing multidimensional space.
The book could be improved with computer graphics of the polytopes, but otherwise it is perfect.
Comment | 
Was this review helpful to you?
7 of 7 people found the following review helpful
5.0 out of 5 stars Implementing Coxeter December 8, 2008
Format:Paperback
References:
The following free MATLAB program implements many of the n-dimensional polytopes.
[...]
There is similar information available from Mathematica
[...]
P. S. Abrams and W. M. McKeeman. Computer display of the derived polytopes. CEGOS, June 1970
The Derived Polytopes in Euclidian N-Space, William Marshall McKeeman, Master of Science Thesis, July 7, 1961.
/s/ Bill McKeeman
Was this review helpful to you?
5 of 5 people found the following review helpful
5.0 out of 5 stars A classic March 19, 2008
By Dr Baz
Format:Paperback
This book is a classic in the field and written by the man who revitalised the entire field of geometry. It is not intended as a step-by-step guide to making polyhedral models. But if you want a grasp on polytopes in n-dimensional space, this is the book for you.

The cover and figures would benefit from a new edition but the mathematical content is concise and comprehensible.
Was this review helpful to you?
ARRAY(0x9f1da510)

What Other Items Do Customers Buy After Viewing This Item?


Forums

There are no discussions about this product yet.
Be the first to discuss this product with the community.
Start a new discussion
Topic:
First post:
Prompts for sign-in
 



Look for Similar Items by Category