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. $18.35, fair condition, Sold by Reuseabook rated 4.0 out of 5 stars, ships from Gloucester, GLOS, UNITED KINGDOM, published 2003 by Headline Review.
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Seller's Description:
Fair. Dispatched, from the UK, within 48 hours of ordering. The book is perfectly readable and fit for use, although it shows signs of previous ownership. The spine is likely creased and the cover scuffed or slightly torn. Textbooks will typically have an amount of underlining and/or highlighting, as well as notes. If this book is over 5 years old, then please expect the pages to be yellowing or to have age spots. Aged book. Tanned pages and age spots, however, this will not interfere with reading. Grubby book may have mild dirt or some staining, mostly on the edges of pages. Damaged cover. The cover of is slightly damaged for instance a torn or bent corner.
Add this copy of The Golden Ratio: the Story of Phi, the Extraordinary to cart. $41.01, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 2003 by Review.
Add this copy of The Golden Ratio. the Story of Phi, the Extraordinary to cart. $62.28, very good condition, Sold by Literary Cat Books rated 3.0 out of 5 stars, ships from Machynlleth, Powys, WALES, UNITED KINGDOM, published 2002 by Review.
Add this copy of The Golden Ratio: the Story of Phi, the Extraordinary to cart. $78.57, new condition, Sold by GridFreed rated 5.0 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. $92.85, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 2003 by Review.
Add this copy of The Golden Ratio-the Story of Phi, the Extraordinary to cart. $94.01, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 2002 by Review / Hodder Headline.
