With this in mind look at the common characteristic numbers between these two squares. First, I should mention they are both Fibonacci numbers: Five and eight are part of the series that grow by addition of consecutive numbers: 1,1,2, 3, 5, 8,13,21,34… etc. Hence, their number squares also belong to this same series. These number squares defined key ancient buildings. For this post let’s look some of the common numbers:
On the 5 x 5 any straight row of five numbers totals 65. On the 8 x 8 any two opposite numbers = 65.
On the 5 x 5 any two opposite numbers totals 260. On the 8 x 8 any row totals 260.
The central number on the 5 x 5 is 13. The perimeter around the 8 x 8 is the sum of the numbers 1 through 13 =91 and then multiplied by 10. It duplicates becomes the total of the 910 perimeter around the 8 x 8.
The point is: The designers of Stonehenge and the Great Pyramid both knew and drew on this. More in future posts.
Digital Squaring Animates Number Squares in Ancient Philosophy. It is visible in the basic 3,4,5 right triangle. This makes the point: Keep it simple. Henry David Thoreau also advocated simplicity.
“Simplicity, simplicity, simplicity! I say, let your affairs be as two or three: Not a hundred or a thousand. Instead of a million count half a dozen. Keep your accounts on your thumb nail.”― Henry David Thoreau, Walden
Digital Squaring Animates Number Squares. Here’s How:
What is this blog about? It illustrates sequence. This can happen by numbers. Also, by music. Music is illustrated below.
Examine the 3,4,and 5 number squares. Nowadays, most look for differences. Ancients sought similarities. Finding similarities leads to peaceful co-existence. Looking for differences creates conflict.
Digital Squaring Animates Number Squares – Examples
Here are the simple formulas demonstrating how basic numbers of 1-5 create the core of basic number squares. This happens by adding the numbers squared in a set sequence:
1² + 2² = 5. This is the core number of the 3 x 3 number square. It was once associated with the planet, Saturn. This square is the smallest number square. it was referred to as the “grain of mustard seed”.
2² + 3² = 13. Thirteen is the core number of the 5 x 5 number square. This 5 x 5 square was connected to the planet, Mars.
3² + 5² = 34. This replicates the sum of the four core numbers of the 4 x 4 number square. All even numbered squares have 4 numbers at their center. The 4 x 4 number square is the first of the even squares. It was basic in Genesis 1:1. See internal link. Also the Holy Ark uses the 5 x 3 dimensions. It was 2½ cubits in length, 1½ in breadth, and 1½ in height. First, 5/2 = the dimension of length and breadth. Then, 3/2 numbers the dimensions in height.
Space Came 1st -Time, 2nd -in the Ancient View. Antiquity was guided by number squares and their centers. a magic square is an square grid. “n” is the number of cells on each side. filled with distinct positive integers. Each cell contains a different integer whose in each row, column and diagonal is equal.Below are the primary squares. They range from 3 x 3 to 9 x 9. Higher number (magic) squares were also used. All oddly number squares have only one number at the center. Even centers have four numbers. Note that single numbers 5 and 13 are at the center of the 3 x 3 and 5 x 5 respectively. The even number square has 4 numbers at the center. They are 7.6.11 and 10. The odd numbered square of 5 x 5 again has only one number at the center. It is number 13. Thus, the 3 x 3 and 4 x 4 set the pattern. Higher number squares all repeat the pattern. The nature of number squares provides the key to how ancients analyzed space-time.
Time is cyclic and fourfold in nature. I explain this in the internal links below.
Space is at the core of reality. It is also infinite. The 3 x 3 magic square is central. Its opposite numbers always equal 10. These tens grow into infinity by a formula given in the internal link. Time is distinctly fourfold in nature. Fourfold is at the core of cycles which gives shape to time. See links above. The 4 x 4 number square of Jupiter sets this fourfold pattern for time. In the ancient view, since the 3 x 3 number square precedes the 4 x 4, space comes 1st.
Fibonacci Forgot the Number Squares. First, what are the Fibonacci numbers? The Fibonacci numbers are a sequence of numbers in mathematics named after Leonardo of Pisa. Fibonacci wrote a book in 1202, called Liber Abaci (“Book of Calculation”). He introduced the number pattern to Western European mathematics. Mathematicians in India already knew of it.
Here we start with #1.This is because zero was not considered a number in the remote past. In the more modern series, number one repeats. Each number after that is equal to adding the two numbers right before it together. For example, 1 + 1=2. Then 1 + 2 = 3. Next, 2 + 3 =5. Next, 3 + 5 = 8. This sequence can go on forever. Note: Five breaks the consecutive number series of 1,2,3. It skips number “4”. Therefore, I call five the 1st distinct Fibonacci number. It is also the first central number of the 1st number square of the series. It sits at the center of the 3 x 3 number square.
A Fibonacci spiral created by drawing a line through the squares in the Fibonacci tiling. This one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34; see Golden spiral.
What Fibonacci Forgot is Key to Understanding
We just mentioned the centrality of #5 in number squares. Number 13 is at the center of the 5 x 5 square. All evenly numbered squares have 4 numbers at the center. The 4 x 4 square is the 1st such square. Its 4 numbers of 7,6,10 and 11 total 34. This is yet another Fibonacci number that comes from the heart of number squares. The most remarkable is the 3 x 3 number square. It actually frames the infinite Fibonacci series by using repeated fives. Many blogs on DSOworks.com are about this very topic. Here are just two internal links.
Advanced Science Used Number Squares in B .C. Today, periodic charts are in vogue. Number square, I believe, were used in the past. Perhaps they are even more revealing than the periodic chart? My internal link below puts forth Neolithic possibilities. In the link, I explain how such knowledge was possibly the remnant of a lost civilization. Yes, Atlantis is in the running. Whatever the event, it is lost from collective memory. However, number squares are the survivors. Their application has been lost. Many blogs on DSOworks are about reactivating these squares. The most intriguing is the smallest number square. I believe the gospels were referring to this number square. It is 3 x 3. This is because if you know its secret codes, it becomes gigantic.
The Parable of the Mustard Seed is one of the shorter parables of Jesus. It appears in Matthew (13:31–32), Mark (4:30–32), and Luke (13:18–19). In the Gospels of Matthew and Luke, it is immediately followed by the Parable of the Leaven, which shares this parable’s theme of the Kingdom of Heaven growing from small beginnings. It also appears in the non-canonical Gospel of Thomas (verse 20).
Advanced Science is Hinted at by Biblical Parables
Sometimes in our quest for knowledge for advanced science, we can be blinded by a light that is too bright. The bright light of the periodic chart is such a light. The table was published by Dmitri Mendeleev. The year was 1869. He built upon earlier discoveries Antoine-Laurent de Lavoisier and John Newlands.
On the featured picture please notice:
The charactertistic number is what any two opposite numbers total. Any two opposite numbers on the 9 x9 square above total 82. This number number square of the Moon defines the atomic number of the ash of nuclear fission. That is lead-82.
The characteristic number on the 5 x 5 number square is 26. Iron has a 26 atomic number. Iron defines the limits of nuclear fusion on stars. When enough iron is fused at the core of a star, the star explodes. That is what creates the heavier elements.
Much has been overlooked on the periodic chart. This is because it ignores ancient number squares. I think that placing number squares into fresh focus can initiate a new Golden Age of peace and plenty.
Sequence Code of Antiquity is really quite simple. . Musical composition, especially of the Baroque era, uses the same sequence code. Baroque music (US: /bəˈroʊk/ or UK: /bəˈrɒk/) is a style of Western art music composed from approximately 1600 to 1750.
How is a musical sequence defined? In music, a sequence is the restatement of a motif or longer melodic (or harmonic) passage at a higher or lower pitch in the same voice. It is one of the most common and simple methods of elaborating a melody. See the musical example below. It was prevalent in eighteenth and nineteenth century classical music
Use of the Sequence Code of Odd Numbered Number Squares of Antiquity
So where are the ancient number codes. For this we must look to the 7 popular number squares of antiquity. In these numerical arrangements we will also find the basis of the Pythagorean Theorem. This theorum uses the basic 3-4-5 triangle: The square of the hypotenuse equals the sum of the square of the shorter legs. Thus, 3² + 4² = 5². The sequence begins a process later imitated by higher numbers. For example 6² + 8² = 10².
Here are a couple of number squares to demonstrate the point of the primacy of sequence code in number squares:
1² + 2² = 5 (Five is at the center of the 3 x 3 number square). This number square was associated with Saturn, the giver of the Law. It certainly sets the mathematical law of number squares in motion. It also hides codes that go to infinity.
2² + 3² = 13. (Thirteen sits at the center of the 5 x 5 number square). This square was connected to Mars.
3² + 4² = 5² or 25. (Twenty -five is at the center of the 7 x 7 number square- not pictured). Three and four are also the core numbers of the Pythagorean Theorem. Twenty-five sits at the center of the 7 x 7 number square of Venus.
4² + 5² = 41 (This is the core number of the 9 x 9 number square). This number square was of the Moon.
Characteristic Number Hides a Secret Code. Civilization has lost its touch with the past. A lost Golden Age was all about number squares. Two opposite numbers always totaled the same number. Our featured number square will be the 3 x 3. Its characteristic number is 10. Any two opposite numbers total 10. These include 9 + 1; 4 + 6; 3 + 7; and 2 + 8. First, where did I first learn about number squares? From the writings of British author, John Michell. Many of my blog are about the 3 x 3 number square. Below is an internal link to one of them. I However, I was able to take John Michell’s work a step further. This is because of an American Indian spirit guide from the Lennie Lenape. It all happened on Oquaga Lake (See picture below).
View the square 2 numbers at the time by opposites. Whereas two numbers that cross the center are paired in the same row. Their sum is always 110. Thus, 49 + 61 = 110. Or, 35 + 75 = 110. The 110 can be pulled out of the square in 16 ways. Thus, 16 X 110 = 1,760. The center then becomes 55. It is surrounded by 440
Characteristic Number Square List of Antiquity
The 3 x 3 is 10.
The 4 x 4 equals 17.
The 5 x 5 totals 26
The 6 x 6 is 37.
The 7 x 7 is 50.
The 8 x 8 is 65
The 9 x 9 is 82.
So where is the hidden number code? Take the prime characteristic number of the 3 x 3 number square. Its sum is 10 as described. Next, total the numbers from 1 to 10. They equal 55. You have just seen how the center of the 3 x 3 number square becomes 55 when viewed two numbers at the time. Today many scoff at this. The ancients of a lost Golden Age accepted it. My Indian spirit guide also offered a book of poetry, filled with her wisdom.
Discovering Number Squares in the Shema Yisroel. First, what is the Shema Yisroel? It is an alliteration into English of the name of a key Hebraic prayer. This blog will concern itself with the opening first line.The quote below explains its extreme significance.I believe it harbors the gateway to a Golden Age Age of peace and plenty. The hidden values offer a path to a forgotten, lost universal order that was based on number squares. Wikipedia explains this first line as follows:
Shema Yisrael (or Sh’ma Yisrael; Hebrew: שְׁמַע יִשְׂרָאֵל; “Hear, [O] Israel”) are the first two words of a section of the Torah, and is the title (better known as The Shema) of a prayer that serves as a centerpiece of the morning and evening Jewish prayer services. The first verse encapsulates the monotheistic essence of Judaism: “Hear, O Israel: the LORD our God, the LORD is one” (Hebrew: שְׁמַע יִשְׂרָאֵל יְהוָה אֱלֹהֵינוּ יְהוָה אֶחָֽד׃), found in Deuteronomy 6:4, sometimes alternatively translated as “The LORD is our God, the LORD is one.” Observant Jews consider the Shema to be the most important part of the prayer service in Judaism, and its twice-daily recitation as a mitzvah (religious commandment). It is traditional for Jews to say the Shema as their last words, and for parents to teach their children to say it before they go to sleep at night. Now to the task at hand- discovering number squares.
Discovering Number Squares in this Key Creed of Judaism
As a prelude, in Hebrew letters doubled as numbers. There were no separate numbers. The same symbol represented both. Look up the Greek word, Gematria. To double check the arithmetic in this blog , ask someone fluent in Hebrew. Also refer to the featured picture as I list the Shema’s words and the words with their numerical equivalents.
Shema has a gematria of 410. The 9 x 9 number square has a core number of 41. In antiquity, zero was not only the absence of number, it was considered to be a synthetic number. Look at the smallest number square. The 3 x 3 pictured above. Any 2 opposite numbers on this square total 10. Hence, 10 and its various powers are not their own independent single numbers. They result on this basic number square by adding any two opposite numbers on the perimeter. The 410 was taken as 41. The 9 x 9 number square was called the lunar number square.Here is the spelling of the word Shema: שְׁמַע.
Yisroel has a gematria of 541. By the rules of gematria, plus one was allowed per words in a phrase. I believe the number was 540 plus 1 for the Deity. Geometrically speaking, a pentagon totals 540° among its 5 vertices. Five is the core number on the 3 x 3 number square. It is the seed of all number squares. It ancient Greek it is the equivalent of The Grail.Here is the spelling in Hebrew: יִשְׂרָאֵל
The next word is so important, it appears in two of the basic ancient number squares, Yahweh. This is the unutterable name of God. On the 5 x 5 number square, any 2 opposite numbers on the perimeter total 26. This square is dedicated to the planet, Mars. The Hebrew spelling is יְהוָה
Next word is Elohaynu. Its numerical equivalent is 102. Look at the 4 x 4 number square. It is the number square of Jupiter. The 12 numbers around its perimeter total 102.אֱלֹהֵינוּ
The 2nd use of the sacred 4 letter name of God refers to the 8 x 8 number square. The 8 x 8 and 5 x 5 number squares share common numbers. The 8 x 8 square of numbers was dedicated to Mercury the messenger. Any row of 8 numbers totals 260. On the 5 x 5 number square, any 2 opposite numbers total 26. Without the zero, it is the second reference to Yahweh יְהוָה
The final word, “echad” declares the oneness of God. Its numerical equivalent is 13. The number is at the core of the 5 x 5 number square אֶחָֽד
Discovering Number Squares of Higher Order in these 6 words (and the next 6)
More on Discovering Number Squares: Aryeh Kaplan was a physicist/philosopher. The book referenced here He offers the formula on page 163 for determining the row total. It is also termed the (S)ide total, for any number square:
S = (n³ + n) ÷ 2.
When the double yud spelling is substituted for the four letter name, as it is the custom in prayer books, the sum of the 6 words becomes 1106. The prayer book spelling of the six words is pictured below.
Next, take the 13 x 13 number square. Fit it to the formula: (13 x 13 x 13) + 13 ÷ 2 = 1105. By the ancient rules of gematria one may be added to the value to arrive at the prayer book gematria of 1106. Again, becomes the unity of God. Kaplan discusses how the 13 x 13 number square represents- Chesed or love on the Tree of Life. The next 6 words (see diagram below) are whispered) will be covered in future blogs. It directly points out the 17 x 17 number square. That square is dedicated to Netzach or victory on the Tree of Life. Used together, 13 x 13 magic square and the 17 x 17 display an ancient temple plan. Indeed, Victory is found in Love as all our religious teachers and prophets taught.
Numerical Rhyme -is there Such a Thing in Physics? Numbers are easy to identify. But how can they rhyme? With words, rhyme is a repetition of similar sounds in two or more lines. They often occur in the final syllables of lines in poems and songs. The word rhyme is also a pars pro toto (“a part (taken) for the whole”) that means a short poem. This includes a rhyming couplet or other brief rhyming poem such as nursery rhymes. For my blog, In Greek it is ἀριθμόςarithmos “number”. Poetry also derives from the Latinrhythmus. Rhythm defines the beats in poetry. The Greek word is ῥυθμός (rhythmos, rhythm).
As with most products of oral tradition, there are many variations to the Bo-Peep rhyme. The most common modern version is:
Thus, rhyme uses the same sound in a definite pattern. Often it comes at the end of the 1st and third lines. With Bo-Peep “find them” and “behind them” make the pattern. They are in lines 2 and 4.
Numerical Rhyme in Fission and Fusion
Here are a couple of facts to help illuminate the topic in physics:
First, the higher end of the spectrum. Radioactive elements with a higher atomic number than lead breakdown to lead-82
Next, the lower end of the spectrum. On stars, elements lighter than iron fuse up to iron. It has an atomic number of 26. When enough iron forms at the core of the star, then the star explodes. That explosion makes other heavier elements.
So Where is Numerical Rhyme in Fusion and Fission?
Take iron. It is the ash of nuclear fusion. This was described above. Iron has an atomic weight of 56. This primary isotope of iron has 26 protons and 30 neutrons. Each proton is balanced by an electron. Total these primary particles. We have 26 protons + 30 neutrons + 30 electrons = 82 primary particles. By number, 82 defines the number of protons in lead. I most point out a parallel situation with ancient number squares. There are a number of rhyming number squares. Here, we will (1) look at the 5 x 5. Then (2) compare it to the 8 x 8.
Any straight row of numbers on the 8 x 8 square totals 260. Any two opposite numbers on the 5 x 5 square totals 26.
Any two opposite numbers on the 8 x 8 square totals 65. Any straight row of numbers on the 5 x 5 square totals 65.
The square perimeter are the numbers that outline any number square. On the 5 x 5 number square the total is 208.
The total of all the numbers on the 8 x 8 number square is 2080
Conclusion: The ancient 5 x 5 and 8 x 8 number squares are in rhyme. So are lead and iron as explained above. Therefore, there is numerical rhyme in both mathematics and physics. Our ancestors knew this. Isn’t it about time we caught up? Perhaps it may lead us down a path of peace?
Roses Contain Mysteries and are Favored by Mystics. First, consider the visible side of roses. Leaves on the bushes come in clusters. These clusters can be comprised of 3,5 or 7 leaves. It has been proven that:”If you want the rose bush to keep blooming, cut the branches between clusters of five and three leaves.” For the roses to continuously blossom, they must be cut between the Fibonacci numbers 3 and 5. Also significant for this blog: The rose has 5 strong petals and 13 weaker. Now the mysticism begins. The background for this blog is the preference that Neolithic cultures showed for number squares.
ROSES CONTAIN MYSTERIES THAT APPLY TO NUMBER SQUARES
Here are the two number squares that the rose draws on. Neolithic cultures knew that nature works on these squares. Today, many have yet to realize this. The 5 strong petals and 13 weaker draw on the key central numbers of 3 x 3 and 5 x 5. The core number of the 3 x 3 is #5. The core number of the 5 x 5 square is #13.
Fibonacci Series Shares the Key Numbers With Roses
Fibonacci numbers grow numbers grow by adding the two previous numbers to arrive at the next larger number. We thus find: 1,1,2,3,5,8,13,34…….The series can continue infinitely.Life both favors and significantly uses the ratio of these consecutive numbers. Note: The Fibonacci numbers that form the petals of the rose: 5 and 13. As the series develops, the ratio of the by which the larger of the two is greater than the smaller gets closer and closer to the infinite number of phi: 1.618… That number is called by the Greek word, phi, or the Golden Section. The definitive phi number can never be reached. It is an irrational number that extends to infinity. Could that be why man will always fall short of immortality?
ANOTHER BIG ROSE CO-INCIDENCE
Consider the following about roses contain mysteries: I have already blogged extensively about these bullet points below . Both 5 and 13 define the strong petals on a rose. Both 5 and 13 define the core of the 1st two odd numbered squares as pictured above. The co-incidence extends to regular and semi-regular polyhedrons:
There can only be 5 regular polyhedrons.
There can only be 13 semi-regular polyhedrons.
The knowledge of many of prehistoric civilizations was also preserved by planting roses in Jerusalem. This knowledge today calls for a new vision of peace and co-operation. Let roses lead the way. Hooray for flower power!