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Flatland: A Romance of Many Dimensions (Princeton science library)
 
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Flatland: A Romance of Many Dimensions (Princeton science library) (Paperback)

by Edwin Abbott (Author), Thomas F. Banchoff (Introduction)
4.6 out of 5 stars See all reviews (34 customer reviews)

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Product details

  • Paperback: 144 pages
  • Publisher: Princeton University Press; New edition edition (1 Jul 1992)
  • Language English
  • ISBN-10: 0691025258
  • ISBN-13: 978-0691025254
  • Product Dimensions: 21.6 x 13.9 x 1.1 cm
  • Average Customer Review: 4.6 out of 5 stars See all reviews (34 customer reviews)
  • Amazon.co.uk Sales Rank: 1,135,434 in Books (See Bestsellers in Books)

Product Description

Review
One of the most imaginative, delightful and, yes, touching works of mathematics, this slender 1884 book purports to be the memoir of A. Square, a citizen of an entirely two-dimensional world. The Washington Post Book World Flatland has remained of interest for over a century precisely because of its ability to engage its readers on so many different planes in so many different dimensions. Victorian Studies

Product Description
Over a hundred years ago, Edwin Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures - who think and speak and have all too human emotions. Since then "Flatland" has fascinated generations of readers, becoming a perennial science-fiction favorite. By imagining the contact of beings from different dimensions, the author fully exploited the power of the analogy between the limitations of humans and those of his two-dimensional characters. A first-rate fictional guide to the concept of multiple dimensions of space, the book will also appeal to those who are interested in computer graphics. This field, which literally makes higher dimensions seeable, has aroused a new interest in visualization. We can now manipulate objects in four dimensions and observe their three-dimensional slices tumbling on the computer screen. But how do we interpret these images? In his introduction, Thomas Banchoff points out that there is no better way to begin exploring the problem of understanding higher-dimensional slicing phenomena than reading this classic novel of the Victorian era.

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Customer Reviews

34 Reviews
5 star:
 (26)
4 star:
 (6)
3 star:
 (1)
2 star:    (0)
1 star:
 (1)
 
 
 
 
 
Average Customer Review
4.6 out of 5 stars (34 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

 
16 of 16 people found the following review helpful:
5.0 out of 5 stars Spellbinding!, 27 Nov 2001
By A Customer
If you've ever tried to imagine a "fourth" (or even higher) dimension, this little gem is for you.

Square is an inhabitant of an infinite flat plane (hence the title of the book) whose inhabitants, flat shapes, are totally unaware of the existence of a third "upward" dimension completely different from their north-south and east-west ones. Sphere, from our world, views Flatlanders as ignorant, and tries to show Square the delights of higher dimensions, as well as showing him the "squalor" of his lower dimensional "lineland" and "pointland" cousins...

There is a delightful class system which ranks flatlanders according to how many sides they have (circles are regarded as the highest class of clergymen) but all women are straight lines, indicating the somewhat Victorian outlook of the author. Also interesting is Sphere's hypocritical reluctance to accept a fourth dimension, as Square refused to accept a third.

Charming and simple, this book really makes you think about the nature of space itself (not an easy task!)

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15 of 15 people found the following review helpful:
5.0 out of 5 stars Go on... ...give it a go..., 10 Jan 2005
By A Customer
I urge you to read this insightful book. It's short and is very easy to read yet will give you a tangible way of contemplating further dimensions by reference to a society with only two (hence the title 'Flatland'). This [Dover Thrift Edition] could well be the best ever spend on a present for your head! The only negative for me is the book's portrayal of Women as straight lines with pointy ends(!), but you have to take into account that it was written by a Victorian Cleric and this part of the story presents an interesting aside in terms of a view of Victorian Society. Please don't get hung up on this point though - in every other way it is incredibly contemporary, accessible and stimulating to the mind. It is referenced by many leading popular science books and is superior to most (incredible considering its vintage). It certainly represents an essential addition to your bookshelf! I'm sure you won't be disappointed.
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11 of 11 people found the following review helpful:
5.0 out of 5 stars Definitely not an allegorical 'Life of Christ', 18 Jul 2002
By A Customer
I think the hundreds of reviews preceding this one sum up the book pretty well, so I won't recap it all here. I just wanted to point out that the reviewer who thought that Flatland was a religious allegory, with the Sphere as Jesus has defintely missed the point - Sphere is one of a line (no pun intended) of all too fallible and very much human characters who we meet in the book, illustrating one of its sharpest ironic points (I just can't help myself now).

The first is the Point, utterly convinced, in the teeth of all the evidence, of the non-existence of everything but itself. Then we meet (in a dream) the King of Lineland, who prefers to believe that the Square is a mutant woman, rather than believe in a two-dimensional space (I promise I'm not making this up). Then we have A. Square, our narrator, who has to be forced to accept the reality of three dimensions by being forcibly removed from Flatland.

And, almost at the end of the book, the Sphere, who, until now has seemed to represent enlightened wisdom, shows his own flaws, by reacting angrily and petulantly to the suggestion of fourth, fifth or higher dimensions.

The Sphere is definitely not meant to be divine - he's just as limited in vision as all the other characters. I hardly think that a clergyman would be so unflattering about Jesus.

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Most Recent Customer Reviews

5.0 out of 5 stars Extraordinary tour de force
What an extraordinary book! I approached it expecting a period piece and found a masterpiece. Don't get me wrong - it's no surprise that the author was a Victorian... Read more
Published 9 months ago by hw

5.0 out of 5 stars A classic
Written over 100 years ago and narrated by the solid A Square, Flatland is a brilliant fantasy about a life in a two-dimensional world at the same time as a witty satire on the... Read more
Published 14 months ago by Melmoth

5.0 out of 5 stars Social Satire
Please don't be deterred by those reviewers who imagine that the author shared the Flatlanders' disparaging view of women and blue-collar men. Not so. E. A. Read more
Published 16 months ago by Dychanwr

4.0 out of 5 stars uniquely brilliant
A. Square (!), trying to work out what it might be like as a cube, while we of 3 dimensions watch him and ultimately pine with him for even more dimensions. Read more
Published 22 months ago by apostrophes&arcadefire

5.0 out of 5 stars Sends the imagination soaring
I have just finished reading this little book for probably the third time. As I tend to read in bed at night just before turning out the light to go to sleep, I would lie in bed... Read more
Published on 8 May 2007 by David Carson

5.0 out of 5 stars Flatland as Analogy
I read Flatland (which, I believe, in the US was published without post colon) when I was a teenager in the 1970s studying geometry and many other things (girls, art, girls,... Read more
Published on 20 Feb 2007 by Marc D. Anderson

5.0 out of 5 stars Mosquito in amber
Written over one hundred years ago, but amazingly prescient for its time, Flatland is a Victorian satire that manages to both expand the mind and be a plausibly risible piece of... Read more
Published on 30 Jan 2007 by Madly Bobbington-Blythe

5.0 out of 5 stars Historical science?
This is a book that took complex ideas and presented them well at a time when the science was not widely understood. Read more
Published on 6 Jun 2006 by N. Ball

1.0 out of 5 stars Not a very inspiring book
This is a short, well written book, which discusses geometry and dimensionality in a well crafted fiction. Read more
Published on 24 Nov 2005 by drmikeg

4.0 out of 5 stars Open your mind
Some science books make stuff seem complicated. Even more compliacted than it needs to be. This book, does not. Read more
Published on 17 May 2004 by A. Edmunds

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