Plus one factor shared by Geometry and Math

Plus one factor shared by Geometry and Math. This post applies to all of the prominent ancient number squares. For various reasons, they are also called magic squares. What characterizes  these squares of numbers? In recreational mathematics and combinatorial design, a magic square[1] is a {\displaystyle n\times n} square grid (where n is the number of cells on each side) filled with distinct positive integers in the range {\displaystyle 1,2,…,n^{2}}

• Each cell contains a different integer.
• The sum of the integers in each row, column and diagonal is equal.[2]

So Where is the Plus One Factor?

The plus one in number squares is one thing above and beyond  obvious definition on the number square. Let’s look at the application in geometry first. The 3 by 3 number square is the smallest that can be constructed. It has 2 parallel lines that intersect two more parallel lines.  Thus, 3 x 3 columns of vertical and horizontal numbers, are set on a 2 x 2 set of horizontal and vertical lines.  Note:  By custom, these parallel lines are not encased by a square. Surrounding these nine numbers by a square would then create 4 x 4 parallel lines. In a way, this hides the true nature of the number square in consideration.  Number square perimeters  should be left open ended as in the featured picture. I must confess, some of my earlier number square pictures are encased.

Here is the  mathematical plus one factor: This number square contains the numbers 1 to 9. Any straight row of three totals 15. Opposite numbers total ten. Hence, the following sets of numbers total 10: 4 + 6; 3 + 7; 8 + 2; and 9 + 1. The plus one factor becomes the total of the opposite numbers- 10. Ten is above and beyond the nine. It is not even notated on the prime number square; being invisible, like the Deity. So how does this apply in religious antiquity?

The 1st of the 10 Commandments is the Plus One Factor

The 10 Commandments are thus modeled on the 3 x 3 number square. The 1st commandment is actually not a commandment. It is a statement of the presence of the Deity who is above and beyond everything. He is invisible, like the number 10.  Compare it to the “colel” in numbers. That’s why in the 10 Commandments it becomes a statement as opposed the apparent nature of the other nine numbers.

Colel Stems From Number Squares in Antiquity

Colel, as part of Megalitic culture, comes From Number Squares.  First, What is “colel”?  Consider ancient Hebrew and Greek cultures.  Numbers and letters shared the same symbol. When you spelled out a word, each letter had  also had a numerical value. Thus, the entire word had a value in numbers. Even phrases or sentences were conceived by numbers. This equation has a descriptive word in Greek. It is called gematria. By today’s standards this seems  odd.  But remember:  Words use only one side of the brain. Math and music use the other.  Using both sides of the brain together makes for wholesome thinking.

In our current age one side of the brain is at odds with the other.  Likewise, as a result- people, nations, even religions are in continual conflict.  Another  second strange concept  concerning gematria is that of colel.  It  is a rule by which one digit may be added to or subtracted from the gematric value of a word. From my research I have found that key numbers from number squares translate into words of holy import. These are often the often the various names for God. Here are some examples:

“Yah” is the shortest name for God. It equates with 15. Any row of 3 numbers on the square of three totals 15. This fills the square with the essence of God. The double yud is an abbreviation for “Adonay”. That equals 20. Look at the numbers in the same square around the central 5. The even numbers total 20. The odd numbers total 20.

Here is colel: We have nine containers for the numbers. Any opposite numbers total ten. This is the one extra that is used for colel.

Another Example of Colel in a Number Square

The Tetragrammaton is Yahweh. It has four Hebrew letters,  yud, hei, vav, hei. By gematria it equals 26. The name equates with the 5 x 5 number square. Any two oppoiste numbers total 26. Here is the one extra for colel: We have 25 containers or squares for numbers. The four letter name totals 26. The plus one comes from the fact that opposite numbers total one more than the number of cells in the particular number square.  Those opposite numbers usually have a holy import.