The Golden Ratio

The Divine Beauty of Mathematics

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Author: Gary B. Meisner

Publisher: Race Point Publishing

ISBN: 163106486X

Category: Mathematics

Page: 224

View: 611

The Golden Ratio examines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos. This gorgeous book—with layflat dimensions that closely approximate the golden ratio—features clear, enlightening, and entertaining commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. 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. This book invites you to take a new look at this timeless topic, with a compilation of research and information worthy of a text book, accompanied by over 200 beautiful color illustrations that transform this into the ultimate coffee table book. Author Gary Meisner shares the results of his twenty-year investigation and collaboration with thousands of people across the globe in dozens of professions and walks of life. The evidence will close the gaps of understanding related to many claims of the golden ratio’s appearances and applications, and present new findings to take our knowledge further yet. Whoever you are, and whatever you may know about this topic, you’ll find something new, interesting, and informative in this book, and may find yourself challenged to see, apply, and share this unique number of mathematics and science in new ways.

Divina Proportione

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Author: F.L. Pacioli

Publisher: Рипол Классик

ISBN: 5879564436

Category: History

Page: N.A

View: 5036

The Golden Ratio

The Story of Phi, the World's Most Astonishing Number

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Author: Mario Livio

Publisher: Broadway

ISBN: 9780767908160

Category: Mathematics

Page: 294

View: 2551

Offers a look at phi, or "the golden ratio," discovered by Euclid more than two thousand years ago, examining the meaning of this remarkable mathematical proportion in terms of science, biology, philosophy, and other fields.

The Divine Proportion

A Study in Mathematical Beauty

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Author: H. E. Huntley

Publisher: Courier Corporation

ISBN: 0486222543

Category: Mathematics

Page: 186

View: 8790

Explores the aesthetic, emotional, artistic and philosophical significance of geometric figures, scientific patterns and mathematical formulas

Geometry of Design

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Author: Kimberly Elam

Publisher: Princeton Architectural Press

ISBN: 9781568985848

Category: Architecture

Page: 107

View: 7907

Kimberly Elam fA1/4hrt den Leser auf eine geometrische Reise und gibt Einsicht in den Designprozess, indem sie visuelle Beziehungen untersucht, die sowohl auf mathematischen Prinzipien als auch auf grundlegenden Eigenschaften des Lebens basieren. Elams ErklArungen machen die mathematischen Beziehungen, die sich hinter diesen Designs verbergen, offensichtlich, und ihre EinfA1/4hrung in die Technik der visuellen Analyse macht dieses Buch zu einer unerlAsslichen Hilfe fA1/4r jeden, der grafisch arbeitet. Die Autorin behandelt dabei nicht nur die klassischen Proportionierungssysteme wie den Goldenen Schnitt und wurzelbasierte Rechtecke, sondern auch weniger bekannte Systeme wie z.B. die Fibonaccifolge.

Werden

Phi - Die Mitte des Zentrums

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Author: Wolfgang Süß

Publisher: BoD – Books on Demand

ISBN: 375287466X

Category: Mathematics

Page: 216

View: 5542

Der Ursprung der Zahl Phi liegt in der Mitte des Zentrums. Das Zentrum ist genau in der Mitte zwischen 1 und 2. Phi erzeugt alle natürlichen Zahlen. Des Messers Schneide ist so dünn, dass darin ein ganzes Universum Platz findet.

The Golden Ratio

And Other Mathematical Patterns Inspired by Nature and Art

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Author: Michael O'Mara Books,Steve Richards

Publisher: Lark Books (NC)

ISBN: 9781454710226

Category: Art

Page: 96

View: 878

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 Golden Section

Nature's Greatest Secret

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Author: Scott Olsen

Publisher: Wooden Books

ISBN: 1912706016

Category: Art

Page: 64

View: 2073

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.

Symmetrien der Natur

Ein Handbuch zur Natur- und Wissenschaftsphilosophie

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Author: Klaus Mainzer

Publisher: Walter de Gruyter

ISBN: 3110853655

Category: Philosophy

Page: 750

View: 7275

Unvergängliche Geometrie

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Author: H.S. Coxeter

Publisher: Springer-Verlag

ISBN: 3034851510

Category: Juvenile Nonfiction

Page: 558

View: 7573

Alex im Wunderland der Zahlen

Eine Reise durch die aufregende Welt der Mathematik

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Author: Alex Bellos

Publisher: eBook Berlin Verlag

ISBN: 3827078083

Category: Mathematics

Page: 480

View: 5254

Erinnern wir uns nicht alle mit Schrecken an die ratlosen Momente vor der Tafel im Matheunterricht? Mit Kurvendiskussionen und Dreisatz dürften jedenfalls nur wenige Spaß und Spannung verbinden... Bis jetzt! Denn nun wagt sich Alex Bellos in den Kaninchenbau der Mathematik: in das Reich von Geometrie und Algebra, von Wahrscheinlichkeitsrechnung, Statistik und logischen Paradoxa. Auf der anderen Seite des Erdballs, am Amazonas, zählen die Mitglieder des Indianerstammes der Munduruku nur bis fünf und halten die Vorstellung, dass dies nicht genügen solle, für reichlich lächerlich. Bei uns in Deutschland dagegen finden jährlich die Meisterschaften der besten Kopfrechner der Welt statt - 2010 wurde in Magdeburg eine elfjährige Inderin zur Nummer eins unter den "Mathleten" gekürt. Die Mathe-Weltmeisterin unter den Tieren ist hingegen die Schimpansin Ai, die Alex Bellos im japanischen Inuyama aufspürt und über deren Rechenkünste er nur staunen kann. Auch wenn er von den bahnbrechenden Überlegungen Euklids erzählt oder erklärt, warum man in Japan seine Visitenkarten keinesfalls zu Dodekaedern falten sollte - Bellos führt uns durch das wahrhaft erstaunliche Reich der Zahlen und bringt uns eine komplexe Wissenschaft spielerisch nahe. Mit seiner Mischung aus spannender Reportage, Wissenschaftsgeschichte und mathematischen Kabinettstückchen erbringt er souverän den Beweis, dass die Gleichung Mathematik = Langeweile eindeutig nicht wahr ist. Quod erat demonstrandum.

Marking the Church

Essays in Ecclesiology

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Author: Greg Peters,Matt Jenson

Publisher: Wipf and Stock Publishers

ISBN: 1498279694

Category: Religion

Page: 240

View: 5168

More than one person has joked over the years that Evangelical believers do not have an ecclesiology. In one sense, that is absurd: Evangelical churches (especially if you include Pentecostals in that group) are some of the fastest-growing, most vibrant churches in the world. Evangelicals are proclaiming the gospel, praising the Lord, reading the Bible, and loving the poor. But there is a case to be made that the Evangelical devotion to the mission of the church has left Evangelicals with little time to reflect on the church itself. In this collection of essays, first given at annual meetings of the Evangelical Theological Society, the authors take time to reflect on the nature of the church in an Evangelical context, asking after the way in which it is one, holy, catholic, and apostolic.

Neue lehre von den proportionen des menschlichen körpers

aus einem bisher unerkannt gebliebenen, die ganze natur und kunst durchdringenden morphologischen grundgesetze entwickelt und mit einer volständigen historischen uebersicht der bisherigen systeme begleitet

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Author: Adolf Zeising

Publisher: N.A

ISBN: N.A

Category: Anatomy, Artistic

Page: 457

View: 6775

Measured Words

Computation and Writing in Renaissance Italy

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Author: Arielle Saiber

Publisher: University of Toronto Press

ISBN: 0802039502

Category:

Page: N.A

View: 873

God’s Intelligent Design for Planet Earth

Creation, Beauty, and Redemption

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Author: Mike Morra

Publisher: Author House

ISBN: 149183644X

Category: Religion

Page: 284

View: 5871

This book is about God the Creator of all; from nothingness to beyond the Multiverse, from cosmic darkness to spiritual light, while surrounding all of His Creation with universal beauty. Godless scholars claim their discoveries as the engine of historic progress, but in truth it has been the Divine revelation of ideas that have propelled the evolution of Mankind. Often, we are discovering that the greatest of human genius has been wrong in their attempts to explain the physical basics of existence. Likewise, their vision of the natural world and the course of cultural/spiritual advancement have been flawed. Albert Einstein’s theories were wrong. Even he admitted that his universal constant that attempted to describe the mechanics of Outer Space was a colossal miscalculation. The philosophies of the most noteworthy of Greek intellectuals, Aristotle, Socrates, and Plato, widely taught today in academia as the pathway to truth, have failed to anticipate the Mosaic, Moral Order and God’s personal relationship with each human soul. Nobel Prize winner Linus Pauling proposed a triple-helix for the DNA and he was proven wrong. Along with, the mathematical limitations posed by Isaac Newton and Rene Descartes. Galileo’s science, atomic theory, quantum physics, string theory, Darwin’s biology, Freud’s account of the psyche, and many other intellectual gaffes made throughout the Eras have been proven erroneous and/or partial truths. Has the acquisition of knowledge been a continuous, rational phenomenon leading to truth? Or, will godless reasoning always be imperfect to grasp the Divine complexities of the cosmos? Why can’t rational mathematics explain the irrational numbers, such as the Fibonacci series, the Golden Proportion, and the triangular ratios of sine, cosine, and hypotenuse? Has God’s wisdom been revealing to scholars the rudiments of His Creation throughout the Eras or have the godless, arrogant intellectuals been discovering the created fundamentals of the cosmos, as revealed through time by a Higher Power? Has the issuing of the Nobel Prize been sacrosanct or simply the rewarding of scientific mistakes and limitations via political/cultural correctness? Only God and the message of Jesus have perfectly survived to inspire the ideational and spiritual Ages.

Cosmetic Medicine and Surgery, An Issue of Clinics in Plastic Surgery - E- Book

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Author: Malcolm D. Paul,Raffi Hovsepian,Adam Rotunda

Publisher: Elsevier Health Sciences

ISBN: 1455709484

Category: Medical

Page: 232

View: 6724

More and more plastic surgeons are turning to cosmetic medicine and minimally invasive surgery as a way to supplement their practices. This multidisciplinary issue, which includes dermatologists as well as plastic surgeons, gives detailed information on how to perform several procedures, including dermabrasion, botox injection, laser therapy, and thermage.

Unified Fields

Science and Literary Form

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Author: Janine Rogers

Publisher: McGill-Queen's Press - MQUP

ISBN: 077359650X

Category: Literary Criticism

Page: N.A

View: 4715

Literary form presents an important opportunity for understanding the relationship between literature and science. Through a series of close readings of poetry and prose, Unified Fields demonstrates that formal structures in literature can relate to scientific concepts through their essential interpretive functions. Janine Rogers engages with a wide range of writing from Canadian, British, and American authors, including the poetry of Elizabeth Bishop and Robyn Sarah as well as prose by Margaret Atwood, Ian McEwan, and Stephen Hawking. She employs an interdisciplinary approach combining formalist, historical, and theoretical literary practice, informed by interpretive frameworks developed in the philosophy of science. Although dedicated to contemporary texts, Rogers's analysis is frequently rooted in historical contexts of form, including Euclidean geometry and medieval romance, developed when the distinction between literature and science was not so drastic. These historical connections demonstrate that continuities of form resonate in both contemporary literature and science. Through critical analysis and engaging prose, Unified Fields bridges an important disciplinary gap by revealing how literary practice informs scientific understanding.

Nexus Network Journal 8,2

Architecture and Mathematics

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Author: N.A

Publisher: Springer Science & Business Media

ISBN: 9783764377618

Category: Mathematics

Page: 117

View: 6336

This book presents an exploration of the arch from the points of view of architecture, mathematics, engineering, construction history, and cultural symbolism. Leonardo da Vinci described the arch as "two weaknesses which, leaning on each other, become a strength," a metaphor for the way that science and art lean on each other to strengthen our lives.