76.345 EXPLORING THE HIDDEN SECRETS OF THE GOLDEN RATIO (2025)

2022, 76.345 Exploring the Hidden Secrets of the Golden Ratio

Using over 1,000 photographs, the author demonstrates how a unique geometric angle, fundamental to all physical reality, is 'hiding in plain sight' in Nature and architecture. Examples of this architecture date back thousands of years, and are found on all continents and in all major religious traditions. This unique angle is the geometry of Universal Phi Scaling.This angle is found in Sardinian Nuraghes, Scottish Brochs, the Great Zimbabwe, Hindu and Buddhist temples, Gothic and Neo-Gothic cathedrals, churches, mosques, synagogues, obelisks, hieroglyphs, ancient symbols and paintings, castles, forts, government buildings, Mystery School architecture, bell towers, Tesla's Wardenclyffe Tower, Tartarian architecture, contemporary architecture, contemporary Russian Pyramids, DNA, the Torus and much, much more. Prior civilizations used this geometry for healing and free energy, and today it is used in a number of high-tech applications, unbeknownst to the engineers who designed them.The author's research into Sacred Geometry, harmonics and ancient diagrams demonstrates the essential role of 76.345 in cosmology, free energy generation, vibrational healing, and PSI abilities.The book also addresses questions surrounding how mankind came to lose this ancient knowledge. Using concrete examples, the author shows how the history and knowledge of the Golden Ratio, Sacred Geometry, fractals, the Fibonacci Sequence, the Aether, the Platonic Solids, and Western mathematics have all been falsified and suppressed through the coordinated efforts of powerful forces.

Geometrical Substantiation of Phi, the Golden Ratio and the Baroque of Nature, Architecture, Design and Engineering

A Classical Geometric Relationship That Reveals The Golden Link in Nature

Journal Of Advances In Mathematics, 2019

This paper introduces the perfect complementary relationship between the 3-4-5 Pythagorean triangle and the 1:2: √5 right-angled triangle. The classical geometric intimacy between these two right triangles not only provides for the ultimate geometric substantiation of Golden Ratio, but it also reveals the fundamental Pi: Phi correlation (π: φ), with an extreme level of precision, and which is firmly based upon the classical geometric principles.

Golden Ratio, the Phi, and Its Geometrical Substantiation

… ), 2011 IEEE Student …, 2011

Golden ratio is often denoted by the Greek letter, usually in lower case, Phi (φ) which is an irrational mathematical constant, approximately 1.6180339887. Because of its unique and interesting properties, many mathematicians as well as renaissance artists and architects studied, documented and employed golden section proportions in remarkable works of sculpture, painting and architecture. Robot sizing especially for the Humanoid Robot, Phi is considered as the key to achieve the human friendly look. The ratio also plays an enigmatic role in the geometry and mathematics. The basic concept of golden ratio and its relation with the geometry are represented and described in this paper. The paper also explains about the structure and construction strategies of various dynamic rectangles by establishing some relations and dependencies with each other. The main contribution of the paper is to study about the validation and substantiation of the Equation of Phi based on classical geometric relations. The technique can be considered as an interesting strategy to prove the Equation of Phi.

The Relation of Golden Ratio, Mathematics and Aesthetics

Journal of the Institute of Engineering

The Golden Ratio, mathematics and aesthetics are intricately related among each other. In this paper, we exhibit the presence of mathematics in aesthetic impression that appears in nature, classic art, architecture, logo design and much more. The divine proportion can be found in music, poetry and other forms of art, however our focus here is only in the visual ones. The Golden ratio is considered sacred due to its relationship to nature and even the construction of the universe and the human body. It has been used for centuries in the construction of architectural masterpieces by the great artists, who, being able to see its beauty used it in their designs and compositions. We explain how the applications of the Golden ratio in architectures, paintings and geometrical shapes create the mystery of beauty. Further we present the existence of the divine proportion in human body and natural flora and fauna. There are a diverse number of directions, paths and tangents to which the study...

Homoethicus: Sacred Geometry In An Ethical Future

We live in a remarkable time, when deeply hidden spiritual and scientific knowledge are now closely mirroring each other. The more we understand the atom the more we understand the God concept and vice versa. As the great spiritual traditions around the world share much of their formerly secret knowledge, including in recent years the Mayan, Tibetan, Taoist and European Rosicrucian traditions we learn much more about the properties of matter and energy. Both, these world traditions and creative physics are the caretakers of our birthright: our shared human legacy of accumulated spiritual and scientific wisdom. Perhaps the most fundamental and important aspect of this spiritual science is for us to know the patterns and energy blueprints upon which everything in the universe is based. Everything in the universe is based upon specific geometrical design, the bar code of it's existence. Knowing this pattern allows us to make full use of it. This principle stands whether we speak of patterns of higher spiritual realities, psychological and behavioural patterns, energetic patterns, or actual structures manifested in our material world.

GOLDEN RATIO AND FIBONACCI SEQUENCE: UNIVERSAL FOOTPRINTS OF THE GOLDEN FLOW

The Turkish Online Journal of Design, Art and Communication, 2022

Golden Ratio and Fibonacci numbers have attracted attention from mathematicians, artists, architects, sculptors and musicians for centuries. Golden Ratio was associated with Ancient Greek art and architecture, and named after Greek sculptor Phidias (4 th and 5 th Century BC). Fibonacci sequence which is closely related to Golden Ratio was discovered by an Italian mathematician Leonardo Pisano Bigollo (1170-1250) in 1202. Those two phenomena have created a considerably extensive literature but the studies mainly focused on documenting where we encounter them in human body, in nature, in plants, in animal kingdom, in art and architecture. Golden Ratio was also known as Divine Proportion since commonly observed in nature. Yet, there have been few arguments or attempts to explain real reasons behind the existence of these numbers in nature and in universe. This study documented literature and collected puzzling pieces from various fields such as ancient philosophers, Far East philosophies, Western philosophy, mysticism, economy, sociology, religious scriptures, botany, psychology, astronomy, physics, mathematics and evolutionary approaches. This study aimed to construct a philosophical theory based on a physics phenomenon that widely influenced many fields including art. The information evolved through literature was used to construct an explanation why Golden Ratio and Fibonacci sequence existed in the universe. Starting from Heraclitus (535-475 BC) of Ephesus, there have been claims that all existence is in a constant flow (Panta rhei) motion. This study suggested Golden Ratio and Fibonacci numbers as evidences of a constant universal flow motion which could further be supported by many empirical evidences from the literature.

Fibonacci sequence, Golden Ratio and Fractal Geometry as the New Dimensionless Constants for Unraveling the Architectonic Principles of the Cosmos

2018

The entire Universe can be thought of as a gigantic information-processing architectural wonder whose beauty can be deciphered using the codes of some dimensionless constants in nature. The dimensionless constants are not burdened with our arbitrary choice of imposing units of measurements and can act as milestones of our progress and lampposts for our further quest. Changing or modifying these collections of fundamental constants can have enormous repercussions on the model of our universe. Her we try to define three such concepts or mathematical constructs and analyze whether they can serve as fundamental constants for expressing the basic symmetry, recursiveness and self-similarity of patterns as manifest in the natural world on different scales. The essential architectonic pattern of nature both on macroscopic and microscopic levels holds lots of similarities to those normally found in the world of man and his art. The universe being an architectural wonder should definitely pos...

Mathematical Sanctity of the Golden Ratio

IOSR Journals , 2019

The frequency of appearance of the Golden Ratio (Φ) in nature implies its importance as a cosmological constantand sign of beingfundamental characteristic of the Universe.Except than Leonardo Da Vinci's 'Monalisa' it appears on the sunflower seed head, flower petals, pinecones, pineapple, tree branches, shell, hurricane, tornado, ocean wave, and animal flight patterns. It is also very prominent on human body as it appears on human face, legs, arms, fingers, shoulder, height, eye-nose-lips, and all over DNA molecules and human brain as well. It is inevitable in ancient Egyptian pyramids and many of the proportions of the Parthenon. But very few of us are aware of the fact that it is part and parcel for constituting black hole's entropy equations,black hole's specific heat change equation,also it appears atKomar Mass equation ofblack holes and Schwarzschild-Kottler metric-for null-geodesics with maximal radial acceleration at the turning point of orbits [1, 2, 3, 4].But here in this paper the discussion is limited to the exhibition of mathematical aptitude of Golden Ratio a.k.a. the Devine Proportion.

Divine Proportion in Modern Architecture: A Case Study

Jurnal Teknologi, 2016

The Ashlar Magazine (Issue 49), 2013

The Fellowcraft degree, or second degree of Freemasonry, is often underestimated; its secrets sometimes unintentionally dismissed as ho-hum, or over laden with redundant Biblical tales concerning commonplace morality. This study examines the Legend of the Winding Stair, an intriguing and exciting element of Freemasonry, and a central theme of not only the second degree, but the entire masonic system. It suggests the Winding Stair is an esoteric link to the geometric principles of the Golden Ratio and the Phi Spiral, both early mathematical concepts and examples of ancient and sacred geometry. Following this trail, the article explores the involvement and contributions of natural philosophers and scientists such as Sir Isaac Newton, Elias Ashmole, Chistopher Wren and Newton’s secretary and British Grand Master John Theophilus Desaguliers, in the development and transmission of modern Freemasonry and its hidden mathematical allegories.