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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).

Has read?

Yes

Images:

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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