What do the Parthenon in Greece, crosses in graveyards, the ratio of the height of the navel to a woman's total height, sunflowers and Leonardo da Vinci's "Mona Lisa" have in common? The answer is that these disparate elements share a geometrical proportion of ancient origin, commonly known as the 'Golden Ratio', or expressed numerically as phi. In a captivating journey through art and architecture, botany and biology, taking in fractals and DNA on the way, Livio takes us into the heart of this extraordinary number, and ...
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What do the Parthenon in Greece, crosses in graveyards, the ratio of the height of the navel to a woman's total height, sunflowers and Leonardo da Vinci's "Mona Lisa" have in common? The answer is that these disparate elements share a geometrical proportion of ancient origin, commonly known as the 'Golden Ratio', or expressed numerically as phi. In a captivating journey through art and architecture, botany and biology, taking in fractals and DNA on the way, Livio takes us into the heart of this extraordinary number, and gives an account of the phi-obsessed individuals who devoted their lives to discovering its secrets - from the Pythagoreans who believed that the study of the Golden Ratio would reveal the hand of God, to the great astronomer Johannes Kepler who felt that phi was the greatest treasure of geometry, to the modern day scientists who are discovering ever more remarkable ramifications of this strange, almost mystical, number. It is a journey into the heart of beauty itself.
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Add this copy of The Golden Ratio-the Story of Phi, the Extraordinary to cart. $14.09, fair condition, Sold by Phatpocket Limited rated 4.0 out of 5 stars, ships from Waltham Abbey, ESSEX, UNITED KINGDOM, published 2002 by Headline Review.
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Acceptable. Used-Acceptable. Ships from UK in 48 hours or less (usually same day). Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library with wear and barcode page may have been removed. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
Add this copy of The Golden Ratio: the Story of Phi, the Extraordinary to cart. $15.69, very good condition, Sold by Halcyon Books rated 4.0 out of 5 stars, ships from LONDON, LONDON, UNITED KINGDOM, published 2002 by Headline Review.
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Add this copy of The Golden Ratio: the Story of Phi, the Extraordinary to cart. $16.99, very good condition, Sold by Brit Books rated 4.0 out of 5 stars, ships from Milton Keynes, BUCKINGHAMSHIRE, UNITED KINGDOM, published 2002 by Headline Review.
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Very good. Simply Brit – welcome to our online used book store, where affordability meets great quality. Dive into a world of captivating reads without breaking the bank. We take pride in offering a wide selection of used books, from classics to hidden gems, ensuring there's something for every literary palate. All orders are shipped within 24 hours and our lightning fast-delivery within 48 hours coupled with our prompt customer service ensures a smooth journey from ordering to delivery. Discover the joy of reading with us, your trusted source for affordable books that do not compromise on quality.
Add this copy of The Golden Ratio: the Story of Phi, the Extraordinary to cart. $28.56, new condition, Sold by GUY'S BOOKS rated 5.0 out of 5 stars, ships from LUTON, BEDFORDSHIRE, UNITED KINGDOM, published 2002 by Headline Review.
Add this copy of The Golden Ratio-the Story of Phi, the Extraordinary to cart. $39.11, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2002 by Review / Hodder Headline.
Add this copy of The Golden Ratio: the Story of Phi, the Extraordinary to cart. $44.32, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2003 by Review.
Add this copy of The Golden Ratio: the Story of Phi, the Extraordinary to cart. $85.71, new condition, Sold by GridFreed rated 4.0 out of 5 stars, ships from North Las Vegas, NV, UNITED STATES, published 2003 by Gardners Books.
Add this copy of The Golden Ratio: the Story of Phi, the Extraordinary to cart. $98.19, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2003 by Gardners Books.