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The Golden Ratio

The Golden Ratio
Author: Gary B. Meisner
Publisher: Quarto Publishing Group USA
Total Pages: 227
Release: 2018-10-23
Genre: Mathematics
ISBN: 076036026X

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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.


The Golden Section

The Golden Section
Author: Hans Walser
Publisher: American Mathematical Soc.
Total Pages: 142
Release: 2020-08-03
Genre: Mathematics
ISBN: 1470457490

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Golden Section

Golden Section
Author: Scott Olsen
Publisher: eBook Partnership
Total Pages: 64
Release: 2018-04-01
Genre: Art
ISBN: 1912706016

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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. "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 Glorious Golden Ratio

The Glorious Golden Ratio
Author: Alfred S. Posamentier
Publisher: Prometheus Books
Total Pages: 301
Release: 2011-12-20
Genre: Mathematics
ISBN: 1616144246

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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.


A Mathematical History of the Golden Number

A Mathematical History of the Golden Number
Author: Roger Herz-Fischler
Publisher: Courier Corporation
Total Pages: 228
Release: 2013-12-31
Genre: Mathematics
ISBN: 0486152324

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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.


The Way of the Golden Section

The Way of the Golden Section
Author: John Michael Greer
Publisher:
Total Pages: 202
Release: 2021-09-28
Genre: Body, Mind & Spirit
ISBN: 9781913504663

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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.


Math for Mystics

Math for Mystics
Author: Renna Shesso
Publisher: Weiser Books
Total Pages: 208
Release: 2007-04-01
Genre: Body, Mind & Spirit
ISBN: 1609252748

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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.


The Golden Ratio And Fibonacci Numbers

The Golden Ratio And Fibonacci Numbers
Author: Richard A Dunlap
Publisher: World Scientific
Total Pages: 172
Release: 1997-12-16
Genre: Mathematics
ISBN: 9814496944

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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.


The Golden Ratio

The Golden Ratio
Author: Steve Richards
Publisher: Union Square & Company
Total Pages: 0
Release: 2016-11
Genre: Art
ISBN: 9781454710226

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The elegance of mathematics meets the creativity of art in this unique coloring book. The golden ratio is the mathematical equation that describes what many consider the "divine proportion," and it's found throughout nature, as well as in art and architecture. This stunning coloring book showcases the beauty of Fibonacci's most famous formula, exploring the many ways numbers and beauty combine. Logical and creative minds alike will enjoy filling in the spirals and designs in these remarkable images.


The Mathematics of Harmony

The Mathematics of Harmony
Author: Alexey Stakhov
Publisher: World Scientific
Total Pages: 745
Release: 2009
Genre: Mathematics
ISBN: 9812775838

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Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."