The Stamping Mill of the Universe

Musical tones come from this basic number square and is a Universal constant

Henry David Thoreau

“I do believe in simplicity. It is astonishing as well as sad, how many trivial affairs even the wisest thinks he must attend to in a day; how singular an affair he thinks he must omit. When the mathematician would solve a difficult problem, he first frees the equation of all incumbrances, and reduces it to its simplest terms. So simplify the problem of life, distinguish the necessary and the real. Probe the earth to see where your main roots run. ”
Henry David Thoreau
The Stamping Mill of the Universe is the above number puzzle. It is the smallest number square that can be constructed where the numbers have the same total whether they added vertically, horizontally or diagonally three numbers at the time.  The total is always 15. In this form, the number pattern is freed, as my favorite philosopher Thoreau states,  from all incumbrances. What you are about to read is an excerpt from my book, The Staff of God, vol. II about how various civilizations around the world used this tiny balanced number grid for their engineering projects. I think I am one of the first to rediscover the use of this grid. My source for the various cultural measures is Historical Metrology by  A.E. Berriman. Here is the reference to my work that I wrote in iambic pentameter.

The Stamping Mill of the Universe: Gnomons and Corners of the Square of Three

A gnomon is the part of the geometrical figure that remains after the corner 4 numbers are removed.  In the above number square, 4,9,3,5 is the upper left corner. The gnomon that remains is defined by 2,7,6,8,1. One Irish mile = 6,720 feet. The product of 2 x 7 x 6 x 8 x 1 = 672.   672 x 10, the characteristic number of this square (any 2 opposite numbers total 10). We arrive at the number of feet in the Irish mile: 6,720.

The Welsh civilization (on the neighboring island), use the gnomon  located on the upper right corner. The corner is defined by 9,2,5,7. When we multiply the numbers of its gnomon: 4 x 3 x 1 x 8 x 6 = 576.  Then 576 x 10 =  5,760 ; the number of feet in the Welsh mile.

The foot is not an anachronism. Samples of a cubic inch of gold for weight measures from Egyptian, Greek and Babylonian civilizations are to be found at the British Museum. The 12 edges of the cube total 1 foot as its 12 edges x 1 inch/edge = 12″ or an English foot. In a blog where I’m limited to 500 words, this suffices. It puts the principle across that I elaborate on my Staff of God vol. II (Not yet available to the public). I have made a compendium of the correspondence of cultural measures derived from this balanced square. The point is, in one word, “balance.” Where there is balance, there is a lack of war, fighting and strife as no side gains the upper hand; they co-exist equal and in harmony like the scales of a balance.  Incidentally, gnomically dividing the square of three was a custom and an important aspect of the Arabic school of Jabirism. Jabir Ibn Hayyim traced it roots back to Hermes; and Hermes traced this custom back to Ariel. In conclusion, The Stamping Mill of the Universe is the smallest and most basic, balanced number square that can be constructed; and when any civilization is based on balance, peace and plenty become its fruit.


















    1. A thought: Don’t even look back for a moment. Just keep advancing in the direction of your higher dreams. Thanks you just gave mea topic for my next blog.

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