Beyond the third dimension : geometry, computer graphics, and higher dimensions

Bibliographic Information

Beyond the third dimension : geometry, computer graphics, and higher dimensions

Thomas F. Banchoff

(Scientific American library, no. 33)

Scientific American Library : Distributed by W.H. Freeman, c1990

  • : pbk

Available at  / 2 libraries

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Note

Includes bibliographical references (p. [199]-201) and index

Description and Table of Contents

Description

This work investigates ways of picturing and understanding dimensions below and above our own. What would a two-dimensional universe be like? How can we even attempt to picture objects of four, five or six dimensions? Such are the questions examined in this text.

Table of Contents

  • Introducing dimensions
  • scaling and measurement
  • slicing and contours
  • shadows and structures
  • regular polytopes and fold-outs
  • perspective and animation
  • configuration spaces
  • coordinate geometry
  • non-Euclidean geometry and nonorientable surfaces.

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