Publisher:
Princeton University Press, Princeton, NJ
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 then Flatland has...
more
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 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, th 13 How I had a Vision of Lineland14 How in my Vision I endeavoured to explain the nature of Flatland, but could not; 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 showed me other mysteries of Spaceland, I still desired more; and what came of it; 20 How the Sphere encouraged me in a Vision Cover; Title; Copyright; Dedication; CONTENTS; PREFACE TO THE SECOND AND REVISED EDITION; INTRODUCTION; Part I This World; 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; 9 Of the Universal Colour Bill; 10 Of the Suppression of the Chromatic Sedition; 11 Concerning our Priests; 12 Of the Doctrine of our Priests ; Part II Other Worlds
Publisher:
Princeton University Press, Princeton, N.J.
;
Walter de Gruyter GmbH, Berlin
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 then Flatland has...
more
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 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.