Flatland: A Romance of Many Dimensions

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Princeton University Press, 2005 - Fiction - 103 pages
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In 1884, 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 thenFlatland 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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A classic

User Review  - pbcusc - Overstock.com

This book introduces the concept of dimensionality. It is entertaining insightful and scientific. A great start on a quantum physics and science education. Read full review

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Dr.Wallace Book Refernce (Important)


1 Of the Nature of Flatland
2 Of the Climate and Houses in Flatland
3 Concerning the Inhabitants of Flatland
4 Concerning the Women
5 Of our Methods of Recognizing one another
6 Of Recognition by Sight
7 Concerning Irregular Figures
8 Of the Ancient Practice of Painting
13 How I had a Vision of Lineland
14 How I vainly tried to explain the nature of Flatland
15 Concerning a Stranger from Spaceland
16 How the Stranger vainly endeavoured to reveal to me in words the mysteries of Spaceland
17 How the Sphere having in vain tried words resorted to deeds
18 How I came to Spaceland and what I saw there
19 How though the Sphere shewed me other mysteries of Spaceland I still desired more and what came of it

9 Of the Universal Colour Bill
10 Of the Suppression of Chromatic Sedition
11 Concerning our Priests
12 Of the Doctrine of our Priests
20 How the Sphere encouraged me in a Vision
21 How I tried to teach the Theory of Three Dimensions to my Grandson and with what success
22 How I then tried to diffuse the Theory of Three Dimensions by other means and of the result

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About the author (2005)

Edwin Abbott Abbott (1838-1926), the author of more than fifty books on classics, theology, history, and Shakespeare, was headmaster of the City of London School and one of the leading educators of his time. Thomas Banchoff is professor emeritus of mathematics at Brown University and author of Beyond the Third Dimension.

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