{"product_id":"the-fibonacci-resonance-and-other-clive-n-menhinick-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\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Clive N. Menhinick\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0993216609\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780993216602\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Onperson International Ltd.\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/31\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 638\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.24lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 1.38d","brand":"Clive N. Menhinick","offers":[{"title":"Hardcover","offer_id":43980784140543,"sku":"9780993216602","price":89.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_ee9663b2-c60b-472b-a375-a124c7344809.jpg?v=1683251870","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-fibonacci-resonance-and-other-clive-n-menhinick-9780993216602","provider":"WR Book House","version":"1.0","type":"link"}