{"product_id":"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.","brand":"OnPerson International Ltd.","offers":[{"title":"Default Title","offer_id":47036027928816,"sku":"9780993216602","price":89.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780993216602_p0.jpg?v=1763899337","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780993216602","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}