The golden ratio strikes again. When plotted numerically, the Golden Ratio creates a sequence that emerges as what can be perceived to be a ‘fractal pattern’. Fractal patterns and the golden ratio have been discovered in outer space for the very first time. The Fractal Field Unified Theory illustrates that the perfect, infinite symmetry sought by physicists pre- and post-Einstein is a fractal and Golden Ratio phase conjugate field. Buy Now on Amazon. The golden ratio. Golden Ratio in EEG Evidences Fractal Electrical Nature of Bliss / Life Force / Gravity Phi Golden Ratio Implosive Symmetry = charge attracted into faster than light fractally perfect distribution - versus - Octave / cubic wave symmetry = charge stored in a matrix. In this section we'll see how the Fibonacci Sequence generates the Golden Ratio, a relationship so special it has even been called "the Divine Proportion." 1= by 1 1=. Characterization mathematical fractals is based on two essential properties: recursivitatea (re indefinitely on successive levels, the smaller scale, the model-seed, resuming where we recognize just flow Pythagorean) and autosimiiaritatea (likeness, at any step, with its model directory, which makes a part of fractals contain scale reproduction of the entire fractal) The golden ratio (Phi), for example, is a geometric relationship that is found everywhere in nature and appears to be a product of the basic equation that describes our universe. The cosmic spiral, uniting everything. The Fibonacci Spiral, which is my key aesthetic focus of this project, is a simple logarithmic spiral based upon Fibonacci numbers, and the golden ratio, Φ. In the fractal squares example, the beautiful fractal is based on a golden ratio of 1.618 while the unattractive one is based on a ratio of 1.5. Because this spiral is logarithmic, the curve appears the same at every scale, and can thus be considered fractal. The golden ratio can be overlaid onto the human body in countless ways. There's a reason Michelangelo di Lodovico Buonarroti Simoni developed his 'Vitruvian Man' sketches using it. It is exactly equal to (1+√5)/2 The Golden Ratio is found when we divide a line into two parts so that: the longer part divided by the smaller part is also equal to the whole length divided by the longer part. As Gary Meisner said, it’s not so much that the golden ratio is “related to fractals,” as fractal patterns can be based on any number. The Golden Section number for phi (φ) is 0.61803 39887…, which correlates to the ratio calculated when one divides a number in the Fibonacci series by its successive number, e.g. As Gary Meisner said, it’s not so much that the golden ratio is “related to fractals,” as fractal patterns can be based on any number.

Fascinating topic. Video on the number phi, golden number, divine proportion or golden ratio and its relationship with nature. The pentagonal dodecahedron (Figures 1) is a Platonic solid based on the golden ratio (as is the pentagon itself); it has 12 pentagon faces, 20 vertices and 30 edges. Science of the Organism. 1.

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