An adventure in multidimensional space : the art and geometry of polygons, polyhedra, and polytopes

書誌事項

An adventure in multidimensional space : the art and geometry of polygons, polyhedra, and polytopes

Koji Miyazaki ; translated by the author, edited and revised by Henry Crapo

Wiley, c1986

タイトル別名

かたちと空間 : 多次元世界の軌跡

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注記

Translation of: かたちと空間 : 多次元世界の軌跡

"A Wiley-Interscience publication."

Includes index

内容説明・目次

内容説明

With forwards by Buckminster Fuller and H.S.M. Coxeter, Forms of Space provides an approach to geometry that uses graphics and scientific concepts as learning tools for the study of both man and nature. Learning through visual experience is achieved by the ingenious use of complex color illustrations. The book shows how polyhedra and polytopes can be used to investigate and describe the mancro, medio and micro worlds (or the multidimensional worlds) without recourse to telescope or microscope. In addition, the book touches on the works of Plato, Kepler, Fuller, Descartes, Einstein and various oriental and near eastern schools of thought.

目次

  • The Circle (Pythagoras)
  • The Cosmos (Plato)
  • Nature (Aristotle)
  • The Family (Archimedes)
  • The Dream (Kepler)
  • The Mandala (Kukai)
  • Synergy (Fuller)
  • The Palace (Kelvin)
  • The Equation (Euler)
  • The Labyrinth (Mvbius)
  • Magic (D
  • rer)
  • The Planet (Penrose)
  • Coordinates (Descartes)
  • The Crystal (Schldfli)
  • The Creation (Coxeter)
  • The Hypersphere (Einstein)
  • Bibliography
  • Afterword
  • Index.

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