The Golden Ratio Circle
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| Author | : Gary B. Meisner |
| Publisher | : Quarto Publishing Group USA |
| Total Pages | : 227 |
| Release | : 2018-10-23 |
| Genre | : Mathematics |
| ISBN | : 076036026X |
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 | : Roger Herz-Fischler |
| Publisher | : Courier Corporation |
| Total Pages | : 228 |
| Release | : 2013-12-31 |
| Genre | : Mathematics |
| ISBN | : 0486152324 |
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 | : Steve Richards |
| Publisher | : Union Square & Company |
| Total Pages | : 0 |
| Release | : 2016-11 |
| Genre | : Art |
| ISBN | : 9781454710226 |
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.
| Author | : Alfred S. Posamentier |
| Publisher | : Prometheus Books |
| Total Pages | : 301 |
| Release | : 2011-12-20 |
| Genre | : Mathematics |
| ISBN | : 1616144246 |
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 | : György Doczi |
| Publisher | : Taylor & Francis |
| Total Pages | : 150 |
| Release | : 1981 |
| Genre | : Aesthetics |
| ISBN | : 9780877731948 |
| Author | : Garth E. Runion |
| Publisher | : |
| Total Pages | : 192 |
| Release | : 1990 |
| Genre | : Mathematics |
| ISBN | : |
For centuries mathematicians, artists, scientists, and architects have been fascinated by the Golden Section - a ration (approximately 1:1.618) with remarkable mathematical properties. Now your students will be, too. The Golden Section offers a carefully-designed sequence of geometry and algebra problems that illuminate the ratio and its many applications. -- from back cover.
| Author | : Roger Herz-Fischler |
| Publisher | : Wilfrid Laurier Univ. Press |
| Total Pages | : 208 |
| Release | : 1987 |
| Genre | : Geometry |
| ISBN | : 0889201528 |
| Author | : Alexey Stakhov |
| Publisher | : World Scientific |
| Total Pages | : 745 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 9812775838 |
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."
| Author | : Bruce Rawles |
| Publisher | : Elysian Publishing |
| Total Pages | : 218 |
| Release | : 2012-04 |
| Genre | : Geometry |
| ISBN | : 9780965640572 |
Integrate practical insights from modern physics, ancient Hermetic Laws, non-dual meta-physics, transpersonal psychology, and humor, as tools for undoing conflicting beliefs we've dreamed ourselves into. The seven Hermetic laws are explored in depth and demonstrate how a mindfulness that embraces 'other' as 'self' can reverse the typical misapplication of these inescapable laws of Mentalism, Correspondence, Vibration, Polarity, Rhythm, Cause & Effect and Generation. Ubiquitous geometric symbols, paired to each of these laws - the circle, vesica piscis, sine wave, line, spiral, fractal and yin-yang - and their countless commonplace variations, seen from the vantage point of shared interests, reflect these ideas. The inspired use of natural law restores attributes of life, love, strength, purity, beauty, perfection and gratitude to our awareness.
| Author | : Alex Bellos |
| Publisher | : A&C Black |
| Total Pages | : 450 |
| Release | : 2011-04-04 |
| Genre | : Science |
| ISBN | : 1408809591 |
The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan. Packed with fascinating, eye-opening anecdotes, Alex's Adventures in Numberland is an exhilarating cocktail of history, reportage and mathematical proofs that will leave you awestruck.
