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"Come on baby. (And she had no fear.) And she ran to him. (Then they started to fly.) They looked backward and said goodbye. (She had become like they are.) She had taken his hand."

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Sphereland: A Fantasy About Curved Spaces and an Expanding Universe

Original title:
Bolland: een roman van gekromde ruimten en uitdijend heelal
Authors:
Dionys Burger (author) and Cornelie J. Rheinboldt (translator)
Language:
English
Original language:
Dutch
Publisher:
Thomas Y. Crowell Company
Categories:
Mathematics and science fiction
Publication year:
1968
Original publication year:
1965
Synopsis:

Somewhat of a sequel to Flatland, Sphereland continues in the same vein, explaining three dimensions to two-dimensional creatures. The pace and mode of writing is pretty similar to the original, and I very much liked that. The novel things that Sphereland does is two-dimensional space exploration and explaining a curved line to a one-dimensional being (and thus setting up the explanation for why two-dimensional beings would have problems understanding a plane curved into a sphere, and by extension how three-dimensional beings would have trouble understanding how to curve a sphere around a hyper-sphere).

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Images:
Back of Sphereland.Spine of Sphereland.Front of Sphereland.
High-res images:
[Back (4.31 MB)] [Spine (531.52 KB)] [Front (4.41 MB)]
Table of Contents:
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A Look at FLATLAND A Fantasy About the Fourth Dimension by A. Square

  • 1 Flatland and Its Inhabitants
  • 2 Dream Vision of Lineland
  • 3 The Visit of the Sphere
  • 4 To the Land of Three Dimensions
  • 5 Dishonored

SPHERELAND A Fantasy About Curved Spaces and and Expanding Universe by A. Hexagon

  • PART I The Straight World
    • 1 Changed Times
    • 2 Easing of Class Consciousness
    • 3 Explorers' Trips
    • 4 The Trees, the Wildlife, and the Sea
    • 5 The Trip Around the World
    • 6 The Earth Is Round
    • 7 New Year's Eve
    • 8 The Sphere Reformed
  • PART II Congruence and Symmetry
    • 9 Pedigrees and Mongrels
    • 10 Little Red Riding Shoe
    • 11 A Magic Trick
    • 12 Vision of Lineland
    • 13 The Vertato Case
    • 14 Experiments in Spaceland
  • PART III Curved Worlds
    • 15 A Rumor
    • 16 The Visit
    • 17 Amazing Results
    • 18 An Impossible Problem
    • 19 Strange Triangles
    • 20 The Faculty
    • 21 Vision of Circleland
    • 22 Revelations by the Sphere
    • 23 Problems
    • 24 The Shortest Way
  • PART IV Expanding Worlds
    • 25 Distant Views
    • 26 Telemetry
    • 27 Increasing Distances
    • 28 Hunting for the Cause
    • 29 Expanding Circleland
    • 30 Expanding Sphereland
    • 31 Miracles in Spaceland
    • 32 Misunderstood
  • Index

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