The Fibonacci Resonance and Other New Golden Ratio Discoveries: Maths Music Archaeology Architecture Art Quasicrystals Metamaterials Lucas ... (ORI32 Geometry & Crypto-Chromatology Series)

A new and definitive reference for the Fibonacci numbers and the Golden Ratio. With Mondrian Seurat Toulouse-Lautrec Tiwanaku The Great Pyramid Le Corbusier Kepler Penrose quasicrystals Pendry green energy and the latest light-based technologies this maths and science book is written to be enjoyed. Explore Bohemian Paris - the capital of phi - in fresh analyses of art architecture and music. Lavishly illustrated this book includes: the history of Fibonacci and Lucas numbers spirals sunflowers pine cones megaliths and ornamental tilings. The Fibonacci Resonance discovery is revealed step by step from unique beginnings to abacus-bead visualizations. Comparisons are made with Silver Ratio Pell numbers and a link is shown to perfect numbers and record-breaking Mersenne primes.