The Golden Section

Author : Scott Olsen
Publisher : eBook Partnership
Page : 64 pages
File Size : 46,6 Mb
Release : 2018-04-01
Category : Art
ISBN : 9781912706013

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Golden Section by Scott Olsen Pdf

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. "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.

Author : Hans Walser
Publisher : American Mathematical Soc.
Page : 142 pages
File Size : 54,8 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457495

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The Golden Section by Hans Walser Pdf

Author : Gary B. Meisner
Publisher : Quarto Publishing Group USA
Page : 227 pages
File Size : 45,7 Mb
Release : 2018-10-23
Category : Mathematics
ISBN : 9780760360262

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The Golden Ratio by Gary B. Meisner Pdf

This 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.

Author : Robert Vincent
Publisher : Unknown
Page : 127 pages
File Size : 52,5 Mb
Release : 2007
Category : Electronic
ISBN : 2951960735

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Geometry of the Golden Section by Robert Vincent Pdf

Author : Alfred S. Posamentier,Ingmar Lehmann
Publisher : Prometheus Books
Page : 301 pages
File Size : 44,9 Mb
Release : 2011-12-20
Category : Mathematics
ISBN : 9781616144241

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The Glorious Golden Ratio by Alfred S. Posamentier,Ingmar Lehmann Pdf

What 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.

Author : Percy A. MacMahon
Publisher : Courier Corporation
Page : 770 pages
File Size : 50,7 Mb
Release : 2004-07-06
Category : Mathematics
ISBN : 0486495868

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Combinatory Analysis by Percy A. MacMahon Pdf

Account of combinatory analysis theorems shows their connections and unites them as parts of a general doctrine. Topics include symmetric functions, theory of number compositions, more. 1915, 1916, and 1920 editions.

Author : Steven Vajda
Publisher : Courier Corporation
Page : 194 pages
File Size : 55,7 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9780486462769

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Fibonacci and Lucas Numbers, and the Golden Section by Steven Vajda Pdf

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.

Author : A. C. McKay,R. A. Thompson
Publisher : Wentworth Press
Page : 252 pages
File Size : 54,6 Mb
Release : 2016-08-26
Category : History
ISBN : 1362401757

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Euclid's Elements by A. C. McKay,R. A. Thompson Pdf

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Richard A Dunlap
Publisher : World Scientific
Page : 172 pages
File Size : 49,6 Mb
Release : 1997-12-16
Category : Mathematics
ISBN : 9789814496940

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The Golden Ratio And Fibonacci Numbers by Richard A Dunlap Pdf

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.

Author : Lieselotte Kugler,Oliver Götze
Publisher : Hirmer Verlag GmbH
Page : 232 pages
File Size : 48,8 Mb
Release : 2016
Category : Art
ISBN : UCSD:31822042171405

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Divine, Golden, Ingenious by Lieselotte Kugler,Oliver Götze Pdf

Does a mystic, divine formula lie behind everything that is beautiful? For centuries the golden mean has been a subject of endless fascination. The ratio of the proportion can be seen in Nature; it runs through artistic design processes and it affects our perception of our surroundings. But how much of this apparent 'world formula' is true, and how much of it is myth? The history of the golden mean begins with Euclid in the 3rd century BC. But it was only in the 19th century that it was raised to the universal constant of beauty. From this point onwards the 'golden section' was described in flora and fauna; the famous Fibonacci number. It determines the growth of the pineapple; and Le Corbusier optimised architecture by means of the Modulor. But does this art-historical phenomenon really play a universal role in the organisation of our world? Authors from all fields analyse the Golden Mean with regard to function, demonstrability and relevance, also by means of current examples from art and design as well as in comparison with the DIN and the tatami measurement. Exhibition: Museum für Kommunikation, Berlin, Germany (08.09.2016-28.02.2017) / Museum für Kommunikation, rankfurt, Germany (17.03.-27.08.2017). Essays by W. Beinert, A. Beutelspacher, M. Braun, W. Busch, C. Erbar, K. Fendius, J. Fingerhut, H. Fladt, O. Götze, P. Hirschmiller, H. Höge, B. Högner, M.-L. Kinne, M. Kuhn, P. Leins, M. Lauer, D. Lordick, T. Niemeyer, K. Schillinger, F. Schütz, E. Spiekermann, P. Zizka

Author : Renna Shesso
Publisher : Weiser Books
Page : 208 pages
File Size : 55,8 Mb
Release : 2007-04-01
Category : Body, Mind & Spirit
ISBN : 9781609252748

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Math for Mystics by Renna Shesso Pdf

Much of math history comes to us from early astrologers who needed to be able to describe and record what they saw in the night sky. Whether you were the king’s court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you’d risk being caught short of food for the winter. Shesso’s friendly tone and clear grasp of the information make the math “go down easy” in this marvelous book.

Author : Vincent Siu
Publisher : Partridge Publishing Singapore
Page : 158 pages
File Size : 45,5 Mb
Release : 2016-02-11
Category : Mathematics
ISBN : 9781482855432

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The Interesting Golden Ratio by Vincent Siu Pdf

This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclids propositions in The Elements, the golden ratio and its related geometry such as the pentagon, pentagram and Vesica Piscis are constructed and determined graphically. Then the value of the ratio is solved by quadratic equations, and depending on the initial assumptions, two values are found. It is proposed that the ratio can be obtained easily by applying the Pythagoras theorem. Common terms like golden triangle, golden rhombus, golden spiral and golden angle are deduced and explained. The connections between the golden ratio and Fibonacci numbers, continued fractions, fractals, chaos and tiling are also introduced. The conclusion is that it is mathematics and not the golden ratio that is fascinating.

Author : Roger Herz-Fischler
Publisher : Courier Corporation
Page : 228 pages
File Size : 51,6 Mb
Release : 2013-12-31
Category : Mathematics
ISBN : 9780486152325

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A Mathematical History of the Golden Number by Roger Herz-Fischler Pdf

This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.

Author : John Michael Greer
Publisher : Unknown
Page : 202 pages
File Size : 54,8 Mb
Release : 2021-09-28
Category : Body, Mind & Spirit
ISBN : 1913504662

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The Way of the Golden Section by John Michael Greer Pdf

Occultism is a set of teachings about the things we experience in the world but not through the five material senses. The Way of the Golden Section is a manual for self-initiation into a tradition of occult study and practice, and into the Golden Section Fellowship. It explores the long heritage of occultism and reframes its teachings in a way that is suited to students of today.

Author : H. E. Huntley
Publisher : Courier Corporation
Page : 208 pages
File Size : 44,7 Mb
Release : 2012-06-08
Category : Mathematics
ISBN : 9780486131870

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The Divine Proportion by H. E. Huntley Pdf

Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.