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The Golden Section

Author : Scott Olsen
ISBN : 9781912706013
Genre : Art
File Size : 78.10 MB
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What 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. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
Category: Art

The Golden Ratio And Fibonacci Numbers

Author : R. A. Dunlap
ISBN : 9812386300
Genre : Mathematics
File Size : 65.30 MB
Format : PDF
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In 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. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.
Category: Mathematics

Fibonacci And Lucas Numbers And The Golden Section

Author : Steven Vajda
ISBN : 9780486462769
Genre : Mathematics
File Size : 26.33 MB
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This 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.
Category: Mathematics

The Golden Section

Author : Hans Walser
ISBN : 0883855348
Genre : Mathematics
File Size : 83.60 MB
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The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. This book aims both to describe examples of the Golden Section, and to show some paths to further developments.
Category: Mathematics

The Golden Section

Author : Steven L. Griffing
ISBN : 1462806449
Genre : Science
File Size : 86.17 MB
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This 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.
Category: Science

The Golden Section

Author : Pernille Rygg
ISBN : 9781448113651
Genre : Fiction
File Size : 40.4 MB
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Igi Heitmann is being stalked. In the suburb of Oslo where she lives with her cross-dressing husband and their daughter, someone is spray-painting the walls of the houses. HEITMANN = CHILD KILLER, the graffiti says. Who would think this, and how do they know where she lives? On a bitter winter's evening, Igi attends the opening of the exhibition of an avant-garde artist whose use of violent pornography has caused great controversy. A video is playing, showing a young man being strangled as part of a sado-masochistic sex game. Moving between the world of violent pornographic art and the happy life she shares with her husband and daughter, Igi must follow a dangerous and shocking path to the truth. An Igi Heitman mystery.
Category: Fiction

The Golden Ratio

Author : Mario Livio
ISBN : 0307485528
Genre : Mathematics
File Size : 63.15 MB
Format : PDF
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Throughout 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. From the Hardcover edition.
Category: Mathematics

Fibonacci Numbers And The Golden Section

Author :
ISBN : OCLC:612272820
Genre :
File Size : 56.32 MB
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Offers information on the Fibonacci numbers, the Golden section, and the Golden string. Includes problems, sequences, application descriptions, and biographical information on mathematician Leonardo of Pisa.