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Author: Gary B. Meisner
Publisher: Quarto Publishing Group USA
ISBN: 076036026X
Category : Mathematics
Languages : en
Pages : 227
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Book Description
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: Gary B. Meisner
Publisher: Quarto Publishing Group USA
ISBN: 076036026X
Category : Mathematics
Languages : en
Pages : 227
Get Book Here
Book Description
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: Merl Fluin
Publisher: Lulu.com
ISBN: 0244742782
Category : Fiction
Languages : en
Pages : 268
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Book Description
Ante up, dreamers... Circus stunt rider TJ Breckenridge is devastated when her horse Cowhead is snatched from the big top one night. Because Cowhead is no ordinary circus animal: secret daughter of TJ's lover, she is simultaneously horse and human. TJ hires a drifter called Cantos Can to help her find and rescue Cowhead. Together they ride out into a desert populated by weird animals, feuding mystery cults, and the remnants of a lost culture known only as the Great Invisibles. But then Cantos goes missing too... and TJ is forced to choose sides in a war where dreams are deadly weapons. Combining hallucinatory imagery with pulp-fiction plotting, The Golden Cut is a tale of tripped-out gunslingers, puppet-headed outlaws, crystal caves, and magicians on the rampage.
Author: Richard A Dunlap
Publisher: World Scientific
ISBN: 9814496944
Category : Mathematics
Languages : en
Pages : 170
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Book Description
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: R. A. Dunlap
Publisher: World Scientific
ISBN: 9789812386304
Category : Mathematics
Languages : en
Pages : 174
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Book Description
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. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.
Author: Steve Richards
Publisher: Union Square & Company
ISBN: 9781454710226
Category : Art
Languages : en
Pages : 0
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Book Description
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: Lucienne Roberts
Publisher:
ISBN: 9780957238114
Category : Golden section
Languages : en
Pages : 279
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Book Description
Author: Scott Olsen
Publisher: eBook Partnership
ISBN: 1912706016
Category : Art
Languages : en
Pages : 64
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Book Description
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: Roger Herz-Fischler
Publisher: Courier Corporation
ISBN: 0486152324
Category : Mathematics
Languages : en
Pages : 228
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Book Description
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: IntroBooks
Publisher: Can Akdeniz
ISBN:
Category :
Languages : en
Pages : 37
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Book Description
The golden ratio is an irrational number and simultaneously an excellent technique that bestows a lot to those who are into the designing field. It helps in a number of things that are essential for the proper construction of architecture as well as designing. The golden ratio has a lot of names that are famous for the discrete tasks that can be performed by the golden ratio, and so accordingly it is named. The golden ratio was used by a number of distinguished mathematicians and artists who have also created some great masterpieces that are well known and famous worldwide. These masterpieces include the many architectural buildings, sculptures, images, paintings, designs, etc. The golden ratio is an amazing technique and probably the only technique that is present in a number of domains such as mathematics, physics, art, architecture, paintings, etc. The golden ratio is directly related to nature, which makes it more interesting and easygoing.
Author: Alison Charlotte Primrose
Publisher: Balboa Press
ISBN: 9781504350853
Category :
Languages : en
Pages : 0
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Book Description
The golden mean proportion is inseparable from enlightened consciousness, coherence and harmony and it resonates throughout the entire universe. Along with comprehensive instructions for the attainment of enlightenment, this book explores the most profound questions about our existence, including why our sciences are unable to recognize the living nature of the universe, why consciousness is the true origin of all physical matter and why the life of every person is of supreme importance. From the ancient mysteries to the modern expressions of spirituality, from Pythagoras and Plato to Leonardo da Vinci and Kepler, from the coded metaphors in the Bible to the problems with modern science, this book unravels the mystery of humanity's hidden understanding of the golden mean from time immemorial to the present day. This transcends the knowledge of our contemporary physical sciences and heralds the return of harmonious conditions to the Earth. In the ancient mystery schools, the initiates learned how and why the golden mean is embedded in the structure of the universe. To understand this truth, we must first learn how and why the golden mean is relevant to our consciousness. This understanding frees the mind from the shackles of time and space and brings the divine nature of life into true recognition. Our materialistic sciences have subsumed our social and cultural awareness of the divine for hundreds of years. While our sciences see only the dynamic and volatile, unchanging truth is only discernible in the fixed, the immutable, eternal principle of the golden mean proportion. It is through this principle that the infinite creator transfers the gift of life to the individual entity. With metaphors, analogies and many practical examples, this book explores the most sublime truths of human life and presents the golden mean proportion as the key to the re-discovery of harmony.
