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Beyond measure : a guided tour through nature, myth, and number /

This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kappraff, Jay
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, NJ : World Scientific, ©2002.
Colección:K & E series on knots and everything ; v. 28.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Machine generated contents note: pt. I Essays in Geometry and Number as They Arise in Nature, Music, Architecture and Design
  • Ch. 1 Spiral in Nature and Myth
  • Ch. 2 Vortex of Life
  • App. 2.A Homogeneous Coordinates
  • Ch. 3 Harmonic Law
  • App. 3.A.1 Logarithms and the Logarithmic Spiral
  • App. 3.A.2 Properties of Logarithms
  • App. 3.A.3 Logarithms and the Musical Scale
  • App. 3.B Pythagorean Comma
  • App. 3.C Vectors
  • Ch. 4 Projective Nature of the Musical Scale
  • Ch. 5 Music of the Spheres
  • App. 5.A Kepler's Ratios
  • Ch. 6 Tangrams and Amish Quilts
  • App. 6.A.1 Steps to creating a triangular grid of circles
  • App. 6.A.2 Steps to creating a square circle grid
  • Ch. 7 Linking Proportions, Architecture, and Music
  • App. 7.A Ancient Babylonian Method for Finding the Square Root of 2
  • Ch. 8 Secret of Ancient Geometry
  • App. 8.A Harmonic Means
  • ^