{"product_id":"ratios-proportions-progressions-spirals-fibonacci-series-golden-mean-and-fractals-9798653535437","title":"Ratios Proportions Progressions \u0026 Spirals: Fibonacci Series, Golden Mean and Fractals","description":"This book takes an in-depth look at the mathematics and numerical relationships in the geometry of familiar natural forms, such as pine cones, eggs, plants, flowers, vegetables and invertebrates like nautilus shells. This book will be interesting both to the curious high school science student, as well as scientists and mathematicians interested in the precise mathematics of these relationships.Here is a list of the chapter titles: - Ratios and Proportions- Ratios and the Fibonacci Sequence- Phyllotaxis- Progressions- The Golden Proportion- Fractals- Golden Spirals- The Logarithmic Spiral- Logarithmic Spirals as related to Rectangles- Logarithmic Spiral of the Chambered Nautilu\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-13647285\"\u003eArthur Yuenger\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Independently Published\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/17\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 178\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.59lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.02h x 5.98w x 0.41d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9798653535437\u003cbr\u003e\u003cb\u003eBISAC Categories:\u003c\/b\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT000000\"\u003eGeneral\u003c\/a\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003eThis title is not returnable\u003c\/i\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Independently Published","offers":[{"title":"Default Title","offer_id":42652268888301,"sku":"9798653535437","price":12.43,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_9ae337a0-d331-46e5-a627-80048e2abc55.jpg?v=1649231436","url":"https:\/\/sureshotbooks.com\/products\/ratios-proportions-progressions-spirals-fibonacci-series-golden-mean-and-fractals-9798653535437","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}