Synchrographics expresses inherent numerical and non-numerical patterns with graphic structural elements. One of the earlier applications of Synchrographics was the expression of the base ten wave cycle inherent in the base ten numbering system.
Another application of the Auric Key is the visual description of division and the mod function. A more advanced application of the auric key is in the graphic structural correlation between numbers and the harmonic structure of space time giving rise to a holistic description of Synchronicity and related concepts. While the Synchronicity Key displays complex patterns at high iterations it consists of simple repeating patterns that are a-causal in relation to each other. |
In this basic synchrograph we have two numbered columns the "2 column" and the " 3 column". There are 6 rows numbered 1-6. Notice there is a white square every 2 spaces in the 2 column and a white square every three spaces in the 3 column. This graphic illustrates divisibility in a very simple way.
Since every even number is divisible by 2 there is a white space next to the even numbers 2 ,4 and 6. Since every third number is divisible by 3 there is a white space every third number, 3 and 6. 6 is the first number divisible by both 2 and 3 and there is a white square in the 2 and 3 column next to the number 6. These columns represent "frequency" in that the 2 column has white squares occurring half of the time or 50%. The three column has white squares occurring at a lower frequency, one third of the time or about 33%. The property of being divisible by consecutive numbers starting with 2 is a special property which creates a symmetrical pattern. This is most obvious when we flip diagram 1 on its side
Since every even number is divisible by 2 there is a white space next to the even numbers 2 ,4 and 6. Since every third number is divisible by 3 there is a white space every third number, 3 and 6. 6 is the first number divisible by both 2 and 3 and there is a white square in the 2 and 3 column next to the number 6. These columns represent "frequency" in that the 2 column has white squares occurring half of the time or 50%. The three column has white squares occurring at a lower frequency, one third of the time or about 33%. The property of being divisible by consecutive numbers starting with 2 is a special property which creates a symmetrical pattern. This is most obvious when we flip diagram 1 on its side
Notice there is a reflective pattern between 1 and 6 where the half way location of 3 represents a mirror and the pattern of white squares exhibits bi-lateral symmetry. This clearly shows that the number 6 is important. This synchrographic method can be applied on an increasing scale showing unique hidden properties of numbers. Next we shall expand the synchrograph an additional column.
In diagram 3 we expand the synchrograph to include a "4 column" and we can see that the white squares indeed continue to indicate divisibility. The number 4 is divisible by 2 and 4 and there is a white space in the 2 and 4 column next to the number 4. The number 9 is divisible by 3 and there is a white square in the 3 column next to the number 9. It turns out the first number to be evenly divisible by 2, 3 and 4 is 12 and there are white squares in the 2, 3 and 4 columns next to the number 12.
What is more fascinating is the occurrence of a symmetrical pattern of white squares between 1 and 12 where 6 becomes the mirror. Again this becomes most obvious when we flip diagram 3 on to its side in diagram 4. The combined property of a number having both consecutive divisors starting with 2 along with the number culminating at the end of a hidden reflective structural pattern defines these unique and special numbers as "omnits" as distinct from "units". An Omnit being the completing a We can see from the present diagrams that there are hidden symmetrical patterns defining the inherent "structure of number". As we progress to the next diagram there also is a pattern in the progression of omnits as well. Note that "omnits" are a sub-class of
"highly composite numbers". These are numbers with a high factor of divisibility given their relative size. These omnits are ultimately related to prime numbers
What is more fascinating is the occurrence of a symmetrical pattern of white squares between 1 and 12 where 6 becomes the mirror. Again this becomes most obvious when we flip diagram 3 on to its side in diagram 4. The combined property of a number having both consecutive divisors starting with 2 along with the number culminating at the end of a hidden reflective structural pattern defines these unique and special numbers as "omnits" as distinct from "units". An Omnit being the completing a We can see from the present diagrams that there are hidden symmetrical patterns defining the inherent "structure of number". As we progress to the next diagram there also is a pattern in the progression of omnits as well. Note that "omnits" are a sub-class of
"highly composite numbers". These are numbers with a high factor of divisibility given their relative size. These omnits are ultimately related to prime numbers
Compare diagram 4 with diagram 2. Like diagram 2 diagram 4 has a reflective structural pattern. Here the pattern occurs between 1 and 12 where 6 becomes the mirror within the bi-lateral symmetry. This pattern is more detailed than the pattern in diagram 2. With all that is known about the number twelve this reflective pattern has remained elusive. More on the number 12 later.
When we search for the number which captures the the divisors 2-5 we find that this number also is divisible by 6. We thus construct a synchrograph with columns 2-6 and see where the white spaces synchronize.
It turns out that the white spaces in columns 2-6 synchronize at 60, that is 60 is evenly divisible by the numbers 2-6. The relationship between divisibility and "synchronicity" will be discussed in detail later.
The number 60 is highly significant. Modern mathematicians refer to such numbers with high factors of divisibility based on their size as "highly composite numbers". These numbers as will be shown have a whole other significance dating back to ancient times.
For now we shall flip diagram 5 on its side and see if you can notice the reflective pattern...
It turns out that the white spaces in columns 2-6 synchronize at 60, that is 60 is evenly divisible by the numbers 2-6. The relationship between divisibility and "synchronicity" will be discussed in detail later.
The number 60 is highly significant. Modern mathematicians refer to such numbers with high factors of divisibility based on their size as "highly composite numbers". These numbers as will be shown have a whole other significance dating back to ancient times.
For now we shall flip diagram 5 on its side and see if you can notice the reflective pattern...
Diagram 6
What is the half way location between 1 and 60? Do you notice the reflective pattern in the middle? Wow! There is a perfect reflective pattern and symmetry half way between 1 and 60 at 30. So far the first three omnits are: 6, 12 and 60. Do you notice anything? Adding a seven column to the next synchrograph yields the next omnit 420. The next omnit derived in this manner is 840. The next omnit?
2520! Instead of making a linear graph with 9 columns 2-10 extending to 2520, way too long for this page, a more revealing configuration is used. Since numbers like time are cyclical it is revealing to extend the 9 columns 2-10 into a seven banded spiral with 360 places in each spiral ending in 2520. Amazingly the same hidden bi-lateral symmetry and reflective pattern is embedded in the structure of the graph. Can you figure out the half way or mirror point of the reflection?
It is 1260 a very important number in its own right. The same mirror symmetry exists in the spiral graph through 2520 as it does for 6, 12, 60, 420 and 840!
We can survey the current list of omnits and there relation to 2520.
It is 1260 a very important number in its own right. The same mirror symmetry exists in the spiral graph through 2520 as it does for 6, 12, 60, 420 and 840!
We can survey the current list of omnits and there relation to 2520.
Six, twelve and sixty all play a crucial role in ancient teachings, numbering and time keeping systems. 60 was the basis of the Sumerian hexgesimal numbering system. There are 60 minutes in an hour Twelve recurs in historical references, measuring systems-the twelve apostles, 12 in a dozen, 12 inches to a foot. Six
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Omnits
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Here we zoom in to 1260 and see the beginning of the reflective pattern which starts at 1 and ends at 2520. This pivotal number occurs at 3 1/2 revolutions around the seven banded spiral of the synchronicity graph. Observe the missing divisor of 8.
Fundamental description of synchronicity
A conceptual break through occurred during the development of the Auric Key.