{"product_id":"the-fibonacci-resonance-and-other-new-golden-ratio-discoveries-maths-music-archaeology-architecture-art-quasicrystals-metamaterials-9780993216602","title":"The Fibonacci Resonance and other new Golden Ratio discoveries: Maths, music, archaeology, architecture, art, quasicrystals, metamaterials, ...","description":"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.\u003cbr\u003e","brand":"Onperson International Ltd.","offers":[{"title":"Default Title","offer_id":50492311208210,"sku":"9780993216602","price":64.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_5d0f268f-622a-4985-8dec-e0dfe66133a5.jpg?v=1730582837","url":"https:\/\/surprise-castle.myshopify.com\/products\/the-fibonacci-resonance-and-other-new-golden-ratio-discoveries-maths-music-archaeology-architecture-art-quasicrystals-metamaterials-9780993216602","provider":"Surprise Castle","version":"1.0","type":"link"}