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Phi, Golden Ratio, construction with a pentagon in a circle Insert a pentagon inside a circle. Connect three of the five points to cut one line into three sections. The ratio of AG to AB is Phi.

Golden ratios appears in many geometric constructions, including triangles and squares in circles, the pentagon and also in solids such as the dodecahedron.

The Fibonacci spirals & the Phi Golden Ratio 1:1.618 inside the Dodecahedron. (c) Rafael Araujo & Nassim Haramein

The Fibonacci spirals & the Phi Golden Ratio inside the Dodecahedron. (c) Rafael Araujo & Nassim Haramein

Phi Equations.....yet another insane mathematical phenomenon

ratio of the short side to the long side of a golden rectangle Phi Equations.yet another insane mathematical phenomenon

OMG, this is amazing! The best Coloring Book. Golden Ratio Coloring Book by Rafael Araujo

OMG, this is amazing! The best Coloring Book. Golden Ratio Coloring Book by Rafael Araujo Mais

The Golden ratio is a number found by dividing 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. It is symbolized using phi, after the Greek alphabet. In an equation form, it looks like this: a/b = (a+b)/a = 1.618033988749894842 As with pi, the digits go on and on, theoretically into infinity. Phi is usually rounded off to 1.618.

What is the Golden Ratio?

The Fibonacci spiral: an approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling;

Phi, Golden Ratio, construction with a square in a circlensert a square inside a semi-circle.  The ratio of AG to AB is Phi

Phi, Golden Ratio, construction with a square in a circle Insert a square inside a semi-circle. The ratio of AG to AB is Phi.

Sacred geometry involves sacred universal patterns used in the design of everything in our reality, most often seen in sacred architecture and sacred art. The basic belief is that geometry and mathematical ratios, harmonics and proportion are also found in music, light, cosmology. This value system is seen as widespread even in prehistory, a cultural universal of the human condition.

The Golden Mean Spiral can wear many hats in its function and relationship to Creation. It is my personal opinion that the Golden Mean Spiral represents the purest form of the feminine aspect of.

Golden ratio-So what's so important about this ratio? Only that it keeps popping up in nature, science, and art, and has been identified as the ratio that is the most visually pleasing.

Golden ratio-So what's so important about this ratio? Only that it keeps popping up in nature, science, and art, and has been identified as the ratio that is the most visually pleasing.

Phi (Golden Ratio) Rules - These rules simplify Phi calculation and proportioning during design (and help identify the golden ratio in existing objects). They have a dual scale with normal graduations on the top edge and Phi-scale graduations on the bottom edge.

Phi (Golden Ratio) Rules - These rules simplify Phi calculation and proportioning during design (and help identify the golden ratio in existing objects). They have a dual scale with normal graduations on the top edge and Phi-scale graduations on the bottom edge.

The Parthenon showing a Golden Spiral overlay illustrating Phi or Golden Ratio proportions

The Parthenon showing a Golden Spiral overlay illustrating Phi or Golden Ratio proportions

Phi, golden ratio or Divine proportions in a Dolphin

Phi - Golden Ratio - The dimensions of the dorsal fin are golden sections (yellow and green). The thickness of the dolphin's tail section corresponds to same golden section of the line from head to tail.