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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
River Edge, NJ :
World Scientific,
©2002.
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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
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