measurement overview

Measurement Overview by the Traditional 3 x 3 Square

Measurement Overview by the Traditional 3 x 3 Square. This simplest of number squares has an infinity of hidden number codes. I currently have some 535 posts on They are divided primarily between music and this simplest of of ancient number squares.  Of course, music and measure overlap. With so many blogs, perspective is difficult. Who has the time to even quickly glance at so much material? The purpose of this blog is simply to provide a measurement overview of the source of measures. A few of the hidden codes are in this internal link.

Artist's reconstructed Troy in Turkey in our measurement overview
Overall rectangular part of Troy is 220 megalithic yards x 165 megalithic yards.  It traces back to the 3 x 3 number square.
  • With Troy, here is the computation. Follow the numbers on the square.  43 + 67 = 110. Backwards 34 + 76 = 110. Total is 220. This works with any opposite columns of two numbers.  Megalithic yards were assigned to this number. It defines the length rectangular part of the citadel.
  • Next, take two numbers at the time again as follows. Watch the number square with three pairs of numbers. 49 + 35 +  81 = 165.  Take them in reverse: 94 + 53 + 18 = 165. It works the same way if you work the numbers horizontally.

Tens: Here’s the Formula on How Tens Grow into Infinity

Both actual measurements of ancient sites and units of measurement came from the 3 x 3 number square. It was once the backbone of a civilization that was destroyed by a cataclysm. A Golden age of peace and plenty once marked this time. Perhaps it is time to return to a Golden Age guided by a simple number square?

Golden Age (disambiguation) – Wikipedia


Measurement Overview – a Partial List

In a Golden Age the weaker and stronger peacefully co-exist.

Here a few of the measures mathematically derived from this number square. Review many of them on Type in the keyword.

  • Egyptian remen as 1.2165…feet.
  • Egyptian cubit of 1.71818…feet.
  • Egyptian cubit of 1.728 feet.
  • Royal cubit of 1.72 feet.
  • Foot of 12 inches.
  • Yard of 36 inches.
  • English furlong of 660 feet.
  • English rod of 16.5 feet.
  • Summerian inch of 0.66 inches.
  • Summerian cubit of 1.65 feet.
  • Masonic hundredweight of 112 pounds.
  • Old gemancer’s mile of 14,400 feet.
  • Shorter nautical mile of 6.048 feet
  • Jewish sacred cubit of 2.0736 feet.
  • Jewish sacred pace of 3.456 feet.
  • Chinese p’u of 14,400 feet.
  • Akbar’s yard of 33 inches.
  • Roman pace of 2.433 feet…………

The  list literally goes on and on. 





Fibonacci Forgot the Number Squares

Fibonacci Forgot the Number Squares

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.[1][2]

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.


Fibonacci forgot the number squares behind the series
Actual squares with Fibonacci numbers

This can be written as a recurrence relation,

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 are about this very topic. Here are just two internal links.

1st sentence of Genesis Archives – DSO Works

Tens: Here’s the Formula on How Tens Grow into Infinity – DSO Works

What Fibonacci forgot is the heart of the entire matter. It time to place some teeth into this prehistoric series of numbers. Numbers squares can be a guiding light to an uplifting future.

common musical geometrical ratios

Tens: Here’s the Formula on How Tens Grow into Infinity

Tens: Here’s the Formula on How Tens Grow into Infinity. On my last blog on featured the 3 x 3 number square. Ironically it is the smallest of the number squares. Yet, it is the largest. It can grow into infinity. In Genesis it is one of God’s favorite numbers.   The grids for all number squares outline a net. Take the first sentence of Genesis. I will alliterate the Hebrew. It states: “Be-ray-sheet” (in the beginning), God created the Heavens and the Earth. Substitute “be-reh-shet”. The first sentence becomes: “In the net God created the Heavens and the Earth.” The root letters in Hebrew for “in the net” and “in the beginning”  are the same.  They both share the basic three letters in Hebrew: reisch, shin and tav. Even first word of the Torah is incredibly profound.

Tens are a favored number in the Hebraic Torah
Tens are a featured number in the Torah. Any opposite numbers on  the square below equal 10.

Tenfold in a Formula by Which a Tiny Number Square Grows into Infinity

Here is a quick review of the last blog. Please read the entire blog for maximum benefit. Look at the number square above as I describe the numbers.

  • Any two opposite numbers total ten. Here some pairs: 4 +  6 = 10. Or, 9 + 1 = 10.
  • By two numbers at the time: 49 + 61 = 110. Another, 29 + 81 = 110. If it crosses the center, it’s dual to itself: 59 + 51 = 110. Or, 15 + 95 = 110. This number, 110 can be pulled out of the square in 16 different ways.
  •  It also works three numbers at the time: 492 + 618 = 1110. Or, 951 + 159 = 1110. This number can be pulled out of here it 8 different ways.
  • The above maneuvers entailed a straight treatment of the numbers: All in a row. But when you twist and turn the numbers, they grow to infinity in their balance. This is the “grain of mustard seed” that grows into the largest plant. The Gospels refer to it.  In this manner the smallest number square defines and describes infinity.
    • Thus, 4,927 + 6,183 = 11,110.
    • 15, 943 + 95,167 = 111,110.
    • Or another two sets of 5 numbers, 81,672 + 29,438 = 111,110
    • Or, let’s go bigger: 38,167,294 + 72,943,816 = 111,111,110


One pair of opposite numbers as described above. Each single pair totals (10¹) or simply, …………………..10
Two pairs of opposite numbers as described above. Each double pair totals (10¹ + 10² ) or…………………110
Three pairs of opposite numbers as described above. Each triple pair totals (10¹+ 10² + 10³} or ………1,110

Perhaps you can see why I used bowling pins as the featured image. But, let’s continue with  another next two examples:

Four pairs of opposite numbers as described above. Each pair of four total (10¹+ 10² + 10³ + 10 to the 4th) or 11,110.
Five pairs of opposite numbers as described above. Each pair of five totals 10¹+ 10² + 10³ + (10 to the 4th) + (10 to the fifth) , or 111,110.
The list keeps going on to infinity. The great irony number squares is this: The smallest of the number squares is not only the largest, but it is also infinitely large. 

God is everything. From the smallest to the largest. He makes his appearance through this “grain of mustard seed.” What  happy days these are as  this knowledge spreads across the globe. Also,   I plan to continue blogging until the realization that we are all one with Him becomes known.-David.

The Oquaga Spirit Speaks on Oquaga Lake to all that care to listen.
Beautiful Oquaga Lake where I, standing on the right, received enlightenment from a spirit that calls herself the Oquaga Spirit. Her poems are available on