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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
This reprint of Abbott's Flatland adventures contains an Introduction by Thomas Banchoff which is worth reading on its own. So if you don't have yet this book at home, go ahead and buy this edition. -- "Zentralblatt MATH
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Over a hundred years ago, Edwin Abbott 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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I call our world Flatland, not because we call it so, but to make its nature clearer to you, my happy readers, who are privileged to live in Space. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Back Cover
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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.
It had me thinking for weeks.
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