The Golden Section
Author: Hans Walser
Publisher: American Mathematical Soc.
Published: 2020-08-03
Total Pages: 142
ISBN-13: 1470457490
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The Golden Ratio
Author: Gary B. Meisner
Publisher: Quarto Publishing Group USA
Published: 2018-10-23
Total Pages: 227
ISBN-13: 076036026X
DOWNLOAD EBOOKThis enlightening and gorgeously illustrated book explores the beauty and mystery of the divine proportion in art, architecture, nature, and beyond. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. Author Gary Meisner has spent decades researching the subject, investigating and collaborating with people across the globe in dozens of professions and walks of life. In The Golden Ratio, he shares his enlightening journey. Exploring the long history of this fascinating number, as well as new insights into its power and potential applications, The Golden Ratio invites you to take a new look at this timeless topic.
The Golden Section
Author: Scott Olsen
Publisher: Bloomsbury Publishing USA
Published: 2006-10-17
Total Pages: 68
ISBN-13: 0802715397
DOWNLOAD EBOOKTells the story of the golden section, a line segment divided into two parts such that the ratio of the short portion to the longer portion is equal to the ratio of the longer portion to the whole, and its impact on civilization and the natural world.
The Glorious Golden Ratio
Author: Alfred S. Posamentier
Publisher: Prometheus Books
Published: 2011-12-20
Total Pages: 301
ISBN-13: 1616144246
DOWNLOAD EBOOKWhat exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors trace the appearance of the Golden Ratio throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. Requiring no more than an elementary knowledge of geometry and algebra, the authors give readers a new appreciation of the indispensable qualities and inherent beauty of mathematics.
The Golden Section
Author: Steven L. Griffing
Publisher: Xlibris Corporation
Published: 2007-11-19
Total Pages: 217
ISBN-13: 1462806449
DOWNLOAD EBOOKThis book contains a great deal of geometry regarding the golden section, including some discoveries of my own. It, also, contains some history of the golden section, as it was used in the art and architecture of the classical civilizations of Egypt and Greece. The golden section was used extensively in the art and architecture, during the classical civilizations of Egypt and Greece, and to some extent, later, in Europe. Its geometric basis can be found in the proportions of the bones of the human body, and of other animals.
Golden Section
Author: Scott Olsen
Publisher: eBook Partnership
Published: 2018-04-01
Total Pages: 64
ISBN-13: 1912706016
DOWNLOAD EBOOKWhat was the golden secret known to Leonardo da Vinci, Kepler, Plato and the ancient magicians? Can there really be a key to nature and life itself? In this small but compact volume internationally renowned divine proportion supersleuth Dr Olsen unravels perhaps the greatest mystery of all time, a code that seems to underly life, the universe and everything, a pattern we instinctively recognise as beautiful, and which nature herself uses at every scale. Designed for artists and scientists alike, this is the smallest, densest and most beautiful book on the golden section ever produced. WOODEN BOOKS are small but packed with information. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.
The Golden Ratio And Fibonacci Numbers
Author: Richard A Dunlap
Publisher: World Scientific
Published: 1997-12-16
Total Pages: 170
ISBN-13: 9814496944
DOWNLOAD EBOOKIn this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.
The Golden Ratio
Author: Mario Livio
Publisher: Crown
Published: 2008-11-12
Total Pages: 305
ISBN-13: 0307485528
DOWNLOAD EBOOKThroughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market! The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.
Fibonacci and Lucas Numbers, and the Golden Section
Author: Steven Vajda
Publisher: Courier Corporation
Published: 2008-01-01
Total Pages: 194
ISBN-13: 0486462765
DOWNLOAD EBOOKThis survey of the use of Fibonacci and Lucas numbers and the ancient principle of the Golden Section covers areas relevant to operational research, statistics, and computational mathematics. 1989 edition.
The Way of the Golden Section
Author: John Michael Greer
Publisher: Aeon Books
Published: 2021-11-11
Total Pages: 260
ISBN-13: 1913504689
DOWNLOAD EBOOKA manual for self-study and self-initiation into the tradition of occult study and practice, and ultimately into the Golden Section Fellowship. This accessible and fascinating book contains comprehensive instructions for occult study, including morning and evening exercises, the sphere of protection, body practices, opening and closing a lodge, and the final ritual of initiation. Also covered are exercises and meditations for the thirty-three symbols of the Way of the Golden Section. The Way of the Golden Section re-examines the teachings of occultism to address the needs, hopes and fears of people in an ever-changing world. Drawing on occultism's long heritage, this book presents occult training in a refreshing new way that is suited to today's students.
