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| Author | : H. E. Huntley |
| Publisher | : Courier Corporation |
| Total Pages | : 208 |
| Release | : 2012-06-08 |
| Genre | : Mathematics |
| ISBN | : 0486131874 |
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.
| 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 | : Priya Hemenway |
| Publisher | : Sterling Publishing Company Incorporated |
| Total Pages | : 203 |
| Release | : 2005 |
| Genre | : Science |
| ISBN | : 9781402735226 |
The number Phi, simply defined, is one plus the square root of five, all divided by two. But its myriad occurrences in art, nature, and science have been a source of speculation and wonder for thousands of years. Divine Proportion draws upon both religion and science to tell the story of Phi and to explore its manifestations in such diverse places as the structure of the inner ear, the spiral of a hurricane, the majesty of the Parthenon, and the elusive perfection of the Mona Lisa. A universal key to harmony, regeneration, and balance, Phi is at the heart of a tantalizing story begun on clay tablets in ancient Babylon, and which will continue to be written for centuries to come.
| Author | : Norman John Wildberger |
| Publisher | : |
| Total Pages | : 330 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : |
"... introduces a remarkable new approach to trigonometry and Euclidean geometry, with dramatic implications for mathematics teaching, industrial applications and the direction of mathematical research in geometry" -- p. vii.
| Author | : W.A.W. Parker |
| Publisher | : Barbera Foundation |
| Total Pages | : 214 |
| Release | : |
| Genre | : Fiction |
| ISBN | : |
Luca Pacioli stood beside the great Leonardo da Vinci and gazed at The Last Supper. He saw immediately that something was terribly wrong. An orphan from a small town in Italy, Pacioli came of age during the Renaissance seemingly destined for a life of struggle and obscurity. But Pacioli had the good fortune of meeting mentors who recognized his uncanny ability with numbers and introduced him to renowned artists and philosophers, royalty, and popes. At a time when many still used Roman numerals and colleges didn’t even teach mathematics, Pacioli was determined to share his passion and make it accessible and understandable. Apprentice to an artist, but a terrible artist himself, he became a master at calculating mathematical perspective in paintings. Tasked with teaching mathematics with no textbook, he wrote his own—followed by books on double-entry bookkeeping, chess, and the divine proportion. In this way, Luca Pacioli, “the father of accounting,” still has something to teach us—not just about mathematics—but about how we account for setbacks in our lives and how we determine what our legacy will be.
| 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 | : 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 | : Scott Olsen |
| Publisher | : eBook Partnership |
| Total Pages | : 64 |
| Release | : 2018-04-01 |
| Genre | : Art |
| ISBN | : 1912706016 |
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 | : Richard A Dunlap |
| Publisher | : World Scientific |
| Total Pages | : 172 |
| Release | : 1997-12-16 |
| Genre | : Mathematics |
| ISBN | : 9814496944 |
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 | : Hans Walser |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 142 |
| Release | : 2020-08-03 |
| Genre | : Mathematics |
| ISBN | : 1470457490 |
