Science and Golden Ratios in Maṇḍala Architecture

Science and Golden Ratios in Maṇḍala Architecture PDF Author: Rekha Rao
Publisher:
ISBN: 9788124605875
Category : Composition (Art)
Languages : en
Pages : 0

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Science and Golden Ratios in Maṇḍala Architecture

Science and Golden Ratios in Maṇḍala Architecture PDF Author: Rekha Rao
Publisher:
ISBN: 9788124605875
Category : Composition (Art)
Languages : en
Pages : 0

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Book Description


The Golden Ratio

The Golden Ratio PDF Author: IntroBooks
Publisher: Can Akdeniz
ISBN:
Category :
Languages : en
Pages : 40

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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.

Karnataka's Rich Heritage – Temple Sculptures & Dancing Apsaras

Karnataka's Rich Heritage – Temple Sculptures & Dancing Apsaras PDF Author: Lalit Chugh
Publisher: Notion Press
ISBN: 1947137360
Category : Architecture
Languages : en
Pages : 525

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Book Description
Nataraja, the dancing Siva sculpture, is perhaps the most well-known among all Hindu sculptures, and rightly so. It has evoked highly advanced discussions among scientists, philosophers, performing artists, art critics, art collectors, historians, archaeologists and mythologists. The Nataraja sculpture also occupies a pride of a place at CERN, the European Centre for Research in Particle Physics in Geneva. Siva, according to Hindu Mythology, was the very first dancer in the world. All dramaturgy and dance traditions emerge from Siva’s cosmic dance. Tandu, Siva’s disciple narrated the description of Siva’s dance to Bharata Muni and he is believed to have compiled the Natyasastra, the world’s first treatise on dramaturgy, dance and other performing arts. Scholars believe that the Natyasastra was written over a long period of time between the 2nd century BCE and 2nd century CE with contributions from various sages, with its foundation having been laid by Bharata Muni. Convergence between Hindu mythology, Natyasastra and Silpasastra was the natural outcome. Karnataka, and its temple architecture tradition, played a pioneering role in giving an artistic form to this convergence in its temple sculptures. Though this trend may have started earlier during 2nd and 3rd century CE, it started to take the center stage from the times of the Badami Chalukyas. Passing through various refinements between 5th and 10th centuries, it reached its peak with the Hoysala art. This book traces the history of temple sculpture evolution and development through the centuries by referring to the existing sculptural forms and the canonical literature that developed over time.

The Mathematics of Harmony

The Mathematics of Harmony PDF Author: Alexey Stakhov
Publisher: World Scientific
ISBN: 9812775838
Category : Mathematics
Languages : en
Pages : 745

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Book Description
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."

The Golden Section

The Golden Section PDF Author: Hans Walser
Publisher: American Mathematical Soc.
ISBN: 1470457490
Category : Mathematics
Languages : en
Pages : 142

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Book Description


Pi (π) in Nature, Art, and Culture

Pi (π) in Nature, Art, and Culture PDF Author: Marcel Danesi
Publisher: BRILL
ISBN: 9004433392
Category : Mathematics
Languages : en
Pages : 144

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Book Description
In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.

The Power of Limits

The Power of Limits PDF Author: Gyorgy Doczi
Publisher: Shambhala Pocket Classics
ISBN:
Category : Art
Languages : en
Pages : 164

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Book Description
A language of patterns seems to operate throughout the creative processes of both nature and humanity, from the geometry of a snowflake to the sonnets of Shakespeare to the architecture of the Japanese teahouse. The author's discovery, vividly illustrated here, is that certain proportions occur over and over again in all these forms. Patterns are also repeated in how things grow and are made - by the dynamic union of opposites - as demonstrated by the spirals that move in opposite directions in the growth of a plant. The award winning architect Gy rgy Doczi translates the language of patterns and shows how we, as humans, are included in the universal harmony of form, and suggests that the union of complementary opposites may be a way to extend that harmony to the psychological and social realms as well.

The Relationship and Presence of Sacred Geometry, Specifically The Golden Ratio Concerning 20th Century Residential Architecture

The Relationship and Presence of Sacred Geometry, Specifically The Golden Ratio Concerning 20th Century Residential Architecture PDF Author: Heather Nickman
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
" The main purpose of this study is to examine the relationship and presence of sacred geometry, specifically the golden ratio concerning 20th-century residential architecture. Sacred Geometry has been evident since the dawn of time, naturally occurring in nature and then used in the art and architecture. Many of the great works of art and architecture can be attributed to the use of the Golden Ratio and ideal proportions. There are many fine examples of Sacred Geometry in the past, this study will examine if there are instances used in the 20th century to the present day. In architecture of the past and up until the modern era the concepts and ideals of the Golden ratio were discussed as a means of creating and implementing complicated structures with the inclusion of ideal proportions. The outcome when using ideal proportions is a beautiful, harmonious design that is aesthetically pleasing to the human eye. " -- Abstract

The Geometry Code

The Geometry Code PDF Author: Bruce Rawles
Publisher: Elysian Publishing
ISBN: 9780965640572
Category : Geometry
Languages : en
Pages : 218

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Book Description
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.

Math for Mystics

Math for Mystics PDF Author: Renna Shesso
Publisher: Weiser Books
ISBN: 1609252748
Category : Body, Mind & Spirit
Languages : en
Pages : 208

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Book Description
Much of math history comes to us from early astrologers who needed to be able to describe and record what they saw in the night sky. Whether you were the king’s court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you’d risk being caught short of food for the winter. Shesso’s friendly tone and clear grasp of the information make the math “go down easy” in this marvelous book.