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Comparing Volumes

  • A. Gardiner

Abstract

In Chapter III.3 we discovered that comparing shapes in 2-dimensions was noticeably more complicated than comparing plain line segments. The proverbial optimist might of course declare that we should have expected 1-dimension to be rather special, and that, now we know (more or less) how to make the jump from 1- to 2-dimensions, we shall probably find that 3-, 4- and higher dimensions are really no more difficult than 2-dimensions. The pessimist, on the other hand, might point out that, since 2-dimensions gave rise to so many unexpected difficulties, we must surely expect 3-, 4- and higher dimensions to become steadily more complicated.

Keywords

Outer Approximation Small Polygon Unexpected Difficulty General Pyramid Rectangular Base 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • A. Gardiner
    • 1
  1. 1.Department of MathematicsUniversity of BirminghamBirminghamEngland

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