Number squares are a key part of many ancient religions. The basic number square was 3² + 4² = 5². The “octave” (numbers doubled) expression becomes 6² + 8² = 10².
Judaism, Through Number Squares, Call on Love. Compassion and Kindness
Here is but one example of how Judaism uses number squares. Many religions also use them. In ancient languages letters and numbers shared the same symbol. This was called by a Greek name, gematria. Judaism calls on the qualities in the above heading through the first 12 Hebrew words of the most sacred and key prayer: The Shema Yisroel.
Hear O Israel, the Lord is our God, the Lord is One. Blessed be his glorious kingdom forever and forever.
בָּרוּךְ שֵׁם כְּבוֹד מַלְכוּתוֹ לְעוֹלָם וָעֶד.
Now, refer to picture of Tree of Life above. Those who have been reading the blogs on DSOworks.com already know how ancients had the same symbol for both numbers and words. The formula for figuring out the sum any row of numbers on a number square (as per Rabbi Aryeh Kaplan) is the sum of the numbers in any row, cubed + plus the total number of numbers in that row, then divided by two. This is found in Kaplan’s Meditation and Kabbalah, p.163.
“Love” invokes the 13 x 13 number square Thus, the characteristic number of Chesed-Love is 13 x 13 x 13+ 13/ 2 = 1105. The first 6 words of the Shema total 1106, as spelled above. One was allowed for the presence of the Blessed Name.
The characteristic number of Netzach-Victory is 2465. As 17 x 17 x 17 + 17/ 2 = 2465. The total of the entire 12 words of the Shema is 2464. Again one is allowed, by tradition of colel, for the presence of the Blessed Name.
Ancient Divine Path is also Found by Using the 6, 8, 10 Right Triangle
The ancient divine path is all about number squares. When realized, finding the way to emanation #1 comes with a map. Here is the equation: 8² + 6² = 10². The journey requires intense effort. That is the essence of squaring numbers.
We start the journey from Hod (8) -pictured above. We must bend from the path on the left pillar of severity (pillar defined by 8,5, and 3). Then travel in the direction of mercy on the right. If we don’t make the effort, trouble comes from being harsh and severe.
Mercy, on the other hand, is found to the right on the tree. From emanation 8, on the left, we must travel toward emanation 6 (Tifereth).
As pilgrims in search of love, mercy and compassion, we are then able to travel straight up to emanation #1.
When we learn to become kind and forgiving, we bend away from rigid severity on the left. We can embrace mercy. In this way we can finally be at one with our Creator. The Pythagorean equation”: has meaning on many levels. It is coded by number squares and by emanations of the Tree of Life.
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.
Revealing Lost Secrets of Prehistoric Times. The key to deciphering many ancient mysteries starts with a circle and its diameter. The diameter must have a special measure. By number it is 352. The circumference around 352 becomes 1106. By equation, 352 x π = 1105.840614… Rounded up this becomes 1106. From the featured picture, we then construct the image pictured immediately below. Incidentally, it is not a co-incidence the ancient diatonic scale, the tone “F” vibrated 352 x per second. Ancient, neolithic architecture used the numbers of vibrations per second of the diatonic scale to measure sacred sites. Read more free blogs on DSOworks.com.
Every Neolithic sacred site builder started with the pictured diagram below in hand. It has also been preserved for safe keeping in Deuteronomy. One of the most significant verses is Deuteronomy 6:4, the Shema Yisrael, which has become the definitive statement of Jewish identity: “Hear, O Israel: the LORD our God, the LORD is one.” Verses 6:4–5 were also quoted by Jesus in Mark 12:28–34 as part of the Great Commandment.
Revealing Lost Secrets – Answers Found In Deuteronomy 6:3-4
Revealing lost secrets of how “Milk and Honey” as the last words of Deuteronomy 6:3 by gematria is 352. This becomes the diameter of 1106 numerical value the 6 most sacred words in Judaism: In the Hebrew prayer book, called the Siddur. In the Siddur, the Divine name is spelled with a double yudי י) ). The double yud then occurs twice in the first six words of Deuteronomy 6:4. (see featured picture). The gematria of the 6 words (with the double yud spelling of the Divinity) becomes 1106.
In the actual scroll of the Torah (as opposed to the Siddur) the 4 letter tetragrammaton is used יהוה) ), not the double yud. That adds letters and numerical value. The six word numerical sum of Deuteronomy 6:4 with the 4 letter name becomes 1,118. That expresses a different aspect of geometry: It is, the measure of a a diagonal of a square that bisects the opposite side of the square. This “half diagonal” is longer than any side of the square by 1.118. Looking at the two spelling of the Creator’s name we then have the following:
The siddur (prayer book) spelling with the double “yud” represents a diameter crossing a circle. Its total is 1106.
The Torah spelling of the 4 letter name represents the ratio by which a half diagonal is longer than any side of a square. Its total is 1118. See picture below.
In light of this blog, the “squaring the circle” takes on yet another meaning. The square and circle in this blog duplicate function of the two primary Masonic instruments: the square and the compass.
Remen, Egyptian and where this Ancient Measure Came From. There are several sources of ancient measures. All are valid. Jay Hambidge lectured about his discovery: The Ancient Canon of Measures. This was at the turn of the 20th century. He started with a square. Each side measured 1 Egyptian remen. Then he drew a diagonal from an upper corner. It bisected the base (half diagonal is not in picture below. He shows other measures in this particular diagram). This “half diagonal” is also basic to ancient measure. Incidentally, this half diagonal is 1.118 times longer than any of the one remen square’s sides. The number 1.118 is the key concept of Judaism as follows:
The most sacred prayer in Judaism is the Shema Yisroel. It declares the oneness of God. שְׁמַע, יִשְׂרָאֵל: יְהוָה אֱלֹהֵינוּ, יְהוָה אֶחָד. (Hear O Israel, the Lord our God, the Lord is One). The Scripture is taken from Deuteronomy 6:4.
In many Middle eastern languages letters doubled as the numbers. There was no separate number system like English. Translating the words to numbers, they equal 1,118. It is the same as the ratio of the half diagonal to any side of the initial square. Anyone who knows Hebrew can double check my figures.
This system is popularly called “gematria”-a Greek word. John Michell discusses this topic in his numerous works.
The Egyptian Remen Comes From a Formula Involving the 3 x 3 Number Square in Its traditional Arrangement
Work with your calculator to double check me.
Add the numbers around the central 5 (I term these numbers p1 which stands for perimeter one). The eight numbers total 40.
Then add them two at the time overlapping the numbers. (I call this p-2. This stands for perimeter two: 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 = 440. Now take the number three at the time.
Overlap the third with the first number. I call this p-3. This stands for perimeter three. 492 + 276 + 618 + 834 = 2,220.Then (p-1) is 40 + (P-2) is 440 + ( P-3) 2,220 = 2700. Finally, Divide the 2700 total of p1 + p2 + p3 by/ p3(2220) or 40 + 440 + 2220/2220 = 1.2162…virtually one Egyptian remen.
This is most appropriate because numerous sources call this tiny 3 x 3 number square the engineer’s number square. I have been spent years searching out how ancient builders worked with it, worldwide. On the Great Pyramid of Egypt, each side of the square base = 440 cubits (perimeter two’s numerical total).
Why all this fuss? Peace is based on what we all have in common. This tiny number square provides the seed of peace in this regard. It needs to be planted and cultivated. Now is the time. The engineer’s number square can give us an harmonious vision for mankind.