Golden Ratio: Difference between revisions

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[[File:330px-Golden ratio line.svg.png|thumb|Golden Ratio]]
[[File:330px-Golden ratio line.svg.png|thumb|Golden Ratio]]
In mathematics, two quantities are in the [[Golden Ratio]] if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. [[Fibonacci]] spirals, [[Golden Spiral]]s and [[Golden Ratio]] based spirals often appear in living organisms. The Golden Ratio is also found in geometry, appearing in basic constructions of an equilateral triangle, square and pentagon placed inside a circle, as well as in more complex three-dimensional solids such as [[Platonic Solids|dodecahedrons]], [[Platonic Solids|icosahedrons]] and [[Buckyballs]].
In mathematics, two quantities are in the [[Golden Ratio]] if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. The [[Golden Ratio]] based spirals, [[Fibonacci]] spirals, and [[Golden Spiral]]s often appear in living organisms. The Golden Ratio is found in geometry, appearing in basic constructions of an equilateral triangle, square and pentagon placed inside a circle, as well as in more complex three-dimensional solids such as [[Platonic Solids|dodecahedrons]], [[Platonic Solids|icosahedrons]] and [[Buckyballs]].


There is a special relationship between the [[Golden Ratio]] and [[Fibonacci]] Numbers (0, 1, 1, 2, 3, 5, 8, 13, 21, ... etc, each number is the sum of the two numbers before it). When we take any two successive [[Fibonacci]] Numbers, one after the other, their ratio is very close to the [[Golden Ratio]]. This is called an approximation or limit value in calculus.  
There is a special relationship between the [[Golden Ratio]] and [[Fibonacci]] Numbers (0, 1, 1, 2, 3, 5, 8, 13, 21, ... etc, each number is the sum of the two numbers before it). When we take any two successive [[Fibonacci]] Numbers, one after the other, their ratio is very close to the [[Golden Ratio]]. This is called an approximation or limit value in calculus.  


[[Phi]] is also used as a symbol for the [[Golden Ratio]] and on other occasions in math and science. This use is separately encoded as the Unicode glyph ϕ. The [[Fibonacci]] sequence, provides yet another way to derive [[Phi]] mathematically.
The [[Golden Ratio]] based spirals and [[Fibonacci]] spirals are used in the propagation of artificial intelligence machinery and are acquired through forming bonded attachments to the original [[Krystal Spiral]]. Their structure creates [[Metatronic Bodies]], [[Reversal 55 Grid|Reversed Merkaba ratios]], and is based on [[Consumptive Modeling]] which has major implications for generating Fallen Consciousness. This leads to the disconnection from higher dimensional connections, creates [[Consciousness Traps]] and cuts off the being from exchange with the Eternal God Source flow.


The [[Golden Ratio]] 1.618033988749894848204586834... in mathematics, art, and architecture.
[[Phi]] is also used as a symbol for the [[Golden Ratio]] and on other occasions in math and science. This use is separately encoded as the Unicode glyph ϕ. The [[Fibonacci]] sequence, provides yet another way to derive [[Phi]] mathematically. The [[Golden Ratio]] 1.618033988749894848204586834..appears in mathematics, art, nature and architecture. The [[Golden Ratio]] also is called the golden mean or golden section. <ref>[http://en.wikipedia.org/wiki/Golden_ratio]</ref>
 
The [[Golden Ratio]] also is called the golden mean or golden section. Other names include extreme and mean ratio, medial section, divine proportion, divine section , golden proportion, golden cut, and golden number.<ref>[http://en.wikipedia.org/wiki/Golden_ratio]</ref>


[[Plato]] (427–347 BC), in his Timaeus, describes five possible regular solids (the [[Platonic Solids]]: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron), some of which are related to the [[Golden Ratio]].<ref>[https://en.wikipedia.org/wiki/Golden_ratio Golden Ratio]</ref>
[[Plato]] (427–347 BC), in his Timaeus, describes five possible regular solids (the [[Platonic Solids]]: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron), some of which are related to the [[Golden Ratio]].<ref>[https://en.wikipedia.org/wiki/Golden_ratio Golden Ratio]</ref>
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==Golden Ratio in Renaissance Art==
==Golden Ratio in Renaissance Art==
[[File:600px-Da Vinci Vitruve Luc Viatour.jpg|thumb|The drawing is based on the correlations of ideal human proportions with geometry described by the ancient Roman architect Vitruvius in Book III of his treatise De Architectura.]]
[[File:600px-Da Vinci Vitruve Luc Viatour.jpg|thumb|The drawing is based on the correlations of ideal human proportions with geometry described by the ancient Roman architect Vitruvius in Book III of his treatise De Architectura.]]
In 1509, Luca Pacioli wrote a book that refers to the number as the "Divine Proportion," which was illustrated by Leonardo da Vinci. Da Vinci later called this sectio aurea or the Golden section. The Golden ratio was used to achieve balance and beauty in many Renaissance paintings and sculptures. Da Vinci himself used the Golden ratio to define all of the proportions in his Last Supper, including the dimensions of the table and the proportions of the walls and backgrounds. The Golden ratio also appears in da Vinci's Vitruvian Man and the Mona Lisa. Other artists who employed the Golden ratio include Michelangelo, Raphael, Rembrandt, Seurat, and Salvador Dali.<ref>[http://www.livescience.com/37704-phi-golden-ratio.html Live Science]</ref>
In 1509, Luca Pacioli wrote a book that refers to the number as the "Divine Proportion," which was illustrated by Leonardo da Vinci. Da Vinci later called this sectio aurea or the Golden section. The Golden ratio was used to achieve balance and beauty in many Renaissance paintings and sculptures. Da Vinci himself used the [[Golden Ratio]] to define all of the proportions in his Last Supper, including the dimensions of the table and the proportions of the walls and backgrounds. The Golden ratio also appears in da Vinci's Vitruvian Man and the Mona Lisa. Other artists who employed the Golden ratio include Michelangelo, Raphael, Rembrandt, Seurat, and Salvador Dali.<ref>[http://www.livescience.com/37704-phi-golden-ratio.html Live Science]</ref>


The Vitruvian Man, is a drawing by Leonardo da Vinci around 1490. It is accompanied by notes based on the work of the architect Vitruvius. The drawing, which is in pen and ink on paper, depicts a man in two superimposed positions with his arms and legs apart and inscribed in a circle and square. The drawing and text are sometimes called the Canon of Proportions or, less often, Proportions of Man.<ref>[https://en.wikipedia.org/wiki/Vitruvian_Man Vitruvian Man]</ref>
The Vitruvian Man, is a drawing by Leonardo da Vinci around 1490. It is accompanied by notes based on the work of the architect Vitruvius. The drawing, which is in pen and ink on paper, depicts a man in two superimposed positions with his arms and legs apart and inscribed in a circle and square. The drawing and text are sometimes called the Canon of Proportions or, less often, Proportions of Man.<ref>[https://en.wikipedia.org/wiki/Vitruvian_Man Vitruvian Man]</ref>
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==Fibonacci Spiral==
==Fibonacci Spiral==
The [[Fibonacci]] spiral gets closer and closer to a [[Golden Spiral]] as it increases in size because of the ratio of each number in the Fibonacci series to the one before it converges on [[Phi]], 1.618, as the series progresses. Beginning with Zero, then 1, it then moves on to the next number, as such : 0+1=1, 1+1=2, 2+1=3, 3+2=5, 5+3=8 and so forth.
The [[Fibonacci]] spiral gets closer and closer to a [[Golden Spiral]] as it increases in size because of the ratio of each number in the Fibonacci series to the one before it converges on [[Phi]], 1.618, as the series progresses. Beginning with Zero, then 1, it then moves on to the next number, as such : 0+1=1, 1+1=2, 2+1=3, 3+2=5, 5+3=8 and so forth.
When we apply this mathematical formula to quantify or measure the movement of energy or [[Consciousness]] within time or space, the Fibonacci Spiral loses its connection going back to the [[Zero Point]] or Source, instead the sequence uses the previous number to add into itself to get to the next higher number of the sequence. The Fibonacci Spiral illustrates the math used to perpetuate the war over energy, therefore the consciousness suppression on the earth, as when the sequence grows in number or size, it is due to the consumption of the previous values in order to grow itself larger.The larger it gets, the more it progressively moves out and away from the [[Krystal Spiral]] of the original core manifestation body or divine template body, as it expands. (See [[Consumptive Modeling]]). Therefore the Fibonacci Spiral is a model of [[Metatronic Reversal]] in the consciousness fields that ultimately attach like a parasite to a living host, collecting waste products, such as accumulating toxic [[Miasma]] fields which form into the [[Qlippoth]] or [[Adverse Sephiroth]], in the [[Phantom Matrix]] to infect the [[Universal Tree of Life]].
When we apply this mathematical formula to quantify or measure the movement of energy or [[Consciousness]] within time or space, the Fibonacci Spiral loses its connection going back to the [[Zero Point]] or Source, instead the sequence uses the previous number to add into itself to get to the next higher number of the sequence. It has no center connection, so it attaches to another or consumes what is in its path to expand. [[Fibonacci Spirals]] illustrates the math used to perpetuate the war over energy, therefore the [[Consciousness]] suppression on the earth. When the sequence grows in number or size, it is due to the consumption of the previous values in order to grow itself larger. The larger it gets, the more it consumes, progressively moving out and away from the organic [[Krystal Spiral]] of the original [[12 Tree Grid|core manifestation body]] or divine template body, as it expands. (See [[Consumptive Modeling]]). Therefore the Fibonacci Spiral is a mathematical model of [[Metatronic Reversal]] recorded in the consciousness fields that ultimately attach like a parasite to a living host, collecting waste products, such as accumulating toxic [[Miasma]] fields, which form into the [[Qlippoth]] or [[Adverse Sephiroth]], in the [[Phantom Matrix]] to infect the [[Universal Tree of Life]].


==Golden Spiral==
==Golden Spiral==
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<ref>[https://en.wikipedia.org/wiki/Golden_spiral Golden Spiral]</ref>
<ref>[https://en.wikipedia.org/wiki/Golden_spiral Golden Spiral]</ref>


==References==  
==Krystal Spiral==
The differences between the [[Krystal Spiral]] and [[Fibonacci]] Spiral and the [[Golden Ratio]] Fibonacci spiral and sequence can be understood in terms of their respective relationships to their creation point. The Krystal Spiral and the mathematical sequence from which it emerges comes directly from the [[Zero Point]] or central point of all union. The [[Krystal Spiral]] perpetually retains a living, breathing connection through the preservation of what came before, as it expands through [[Multiplication]].
 
==HGS Reference==
==HGS Reference==


Correct Calculus, Mathematical Code, "Golden Ratio" Page 80
Correct Calculus, Mathematical Code, "Golden Ratio" Page 80
==References==


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