The Golden Ratio

The Divine Beauty of Mathematics


Author: Gary B. Meisner

Publisher: Race Point Publishing

ISBN: 163106486X

Category: Mathematics

Page: 224

View: 5452

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.

The Divine Proportion


Author: H. E. Huntley

Publisher: Courier Corporation

ISBN: 0486131874

Category: Mathematics

Page: 208

View: 6476

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.

The Golden Section

Nature's Greatest Secret


Author: Scott Olsen

Publisher: Wooden Books

ISBN: 1912706016

Category: Art

Page: 64

View: 7156

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.

Marking the Church

Essays in Ecclesiology


Author: Greg Peters,Matt Jenson

Publisher: Wipf and Stock Publishers

ISBN: 1498279694

Category: Religion

Page: 240

View: 2282

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.

The Golden Ratio

And Other Mathematical Patterns Inspired by Nature and Art


Author: Michael O'Mara Books,Steve Richards

Publisher: Lark Books (NC)

ISBN: 9781454710226

Category: Art

Page: 96

View: 5160

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.

Measured Words

Computation and Writing in Renaissance Italy


Author: Arielle Saiber

Publisher: University of Toronto Press

ISBN: 0802039502


Page: N.A

View: 3499

God’s Intelligent Design for Planet Earth

Creation, Beauty, and Redemption


Author: Mike Morra

Publisher: Author House

ISBN: 149183644X

Category: Religion

Page: 284

View: 3230

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


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

Publisher: Elsevier Health Sciences

ISBN: 1455709484

Category: Medical

Page: 232

View: 3446

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.

Facial Geometry

Graphic Facial Analysis for Forensic Artists


Author: Robert M. George

Publisher: Charles C Thomas Publisher

ISBN: 0398077703

Category: Science

Page: 82

View: 7235

Forensic art may be defined as 'portrait art minus a tangible subject.' The main objective of this book is to present a series of practical indices interrelating the key features of the human face that will provide a foundation for any exercise in forensic art from composite sketch to post-mortem 're-facing.' These indices are illustrated with a survey of the numerous and often surprising geometric forms that permeate facial design. The various triangles and rectangles, rhomboids and trapezoids, parallelograms and circles that define the human face (the theme) and give it individuality (variations on the theme) are examined. The chapters provide necessary information to define the cephalometric points, planes, areas and lines that demarcate the human face, including the detailed surface anatomy of the eye, nose, mouth and ear. The underlying geometry of the human facial plan is revealed, illustrating a selection of triangles, rectangles, and other polygons. The graphic facial analysis (GFA) of the frontal face is covered, with sixteen indices and triangles defining and illustrating their means and ranges of variation. The GFA details the lateral face by means of eight angles and indices with special attention given to the nose and ear. With 45 illustrations and two tables in this clear and comprehensive text, this book leaves little to the imagination and is truly a unique treatise and source of information.