Fibonacci: Difference between revisions

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In mathematics, the [[Fibonacci]] numbers or Fibonacci sequence are the numbers in the following integer sequence: 1,1,2,3,5,8,13,21,34,55,89,144...
In mathematics, the [[Fibonacci]] numbers or Fibonacci sequence are the numbers in the following integer sequence: 1,1,2,3,5,8,13,21,34,55,89,144...


If we sum the squares of any series of [[Fibonacci]] numbers, they will equal the last Fibonacci number used in the series times the next Fibonacci number.  This property results in the Fibonacci spiral, based on the following progression and properties of the Fibonacci series.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 on.
If we sum the squares of any series of [[Fibonacci]] numbers, they will equal the last Fibonacci number used in the series times the next Fibonacci number.  This property results in the Fibonacci spiral, based on the following progression and properties of the Fibonacci series.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 in a manifestation template 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 war over energy, therefore consciousness on the earth, through the sequence growing in number or size,  due to consumption of the previous values in order to grow itself. (See [[Consumptive Modeling]]) progressively moving out of a Krystic or Divine Template as it Expands.
When we apply this mathematical formula in a manifestation template 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 war over energy, therefore consciousness on the earth, through the sequence growing in number or size,  due to consumption of the previous values in order to grow itself. (See [[Consumptive Modeling]]) progressively moving out of a Krystic or Divine Template as it Expands.

Revision as of 19:32, 24 January 2016

The Fibonacci spiral: an approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling;this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.

In mathematics, the Fibonacci numbers or Fibonacci sequence are the numbers in the following integer sequence: 1,1,2,3,5,8,13,21,34,55,89,144...

If we sum the squares of any series of Fibonacci numbers, they will equal the last Fibonacci number used in the series times the next Fibonacci number. This property results in the Fibonacci spiral, based on the following progression and properties of the Fibonacci series.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 in a manifestation template 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 war over energy, therefore consciousness on the earth, through the sequence growing in number or size, due to consumption of the previous values in order to grow itself. (See Consumptive Modeling) progressively moving out of a Krystic or Divine Template as it Expands.



References


See Also

Sacred Geometry