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Geometry of Alphabets

Over thirty years of research by the Meru Foundation has been directed toward understanding the origin and nature of the Hebrew alphabet, as well as the mathematical structure underlying the sequence of letters in the Hebrew text of Genesis; in effect the geometry of the Hebrew alphabet.

In this process, Stan Tenen and others have discovered “an extraordinary and unexpected geometric metaphor in the letter-sequence of the Hebrew text of Genesis that underlies and is held in common by the spiritual traditions of the ancient world.  This metaphor models embryonic growth and self-organization.  It applies to all whole systems, including those as seemingly diverse as meditational practices and the mathematics fundamental to physics and cosmology...  Meru Project findings demonstrate that the relationship between physical theory and Consciousness, expressed in explicit geometric metaphor, was understood and developed several thousand years ago.”

That says a very great deal!  In essence, the book of Genesis -- in the original Hebrew -- is geometrically structured.  The very first verse of Genesis, for example, is shown to form a dodecahedron <http://www.meru.org/Lettermaps/GenesisWords.html>, which is then interpreted as a 13-petaled Rose, a Shoshon Flower, or a Menorah of 6 flames.  The over all effect is strangely reminiscent of a six-sided Celtic drawing of spirals.  <http://www.meru.org/Lettermaps/BreshitHierarchy.html> also shows the geometry of an unfurling vortex funnel, called “The Internal Structure of B’Reshit”.  Essential reading in this regard is an article taken from the website, entitled, “The God of Abraham: A Mathematician’s View” [1], which introduces and explores the philosophical implications of the Meru Foundation research.  Astounding material!

On an adjacent webpage, <http://www.meru.org/Posters/trsknotrngsphere.html> a so-called 3,10 Torus Knot in a standard Ring form is shown evolving into a dimpled-sphere torus, and then into a tetrahelix (looking a bit like a DNA helix), and then ultimately mimicking a human hand.  In fact...

An idealized model human hand when viewed from different angles

can be shown to form all of the letters of the Hebrew alphabet --

as well as the ancient Greek and Arabic alphabets!  

Effectively each hand gesture displays a different view of the model hand (referred to as the “First Hand”), with these different views including immediately identifiable outlines of the Hebrew letters. Stan Tenen has stated <http://www.arthuryoung.com> that, “The Hebrew letters are said to connect our inner wisdom with our outer knowledge of the world.  We can easily see our hands, and what our hands hold, in our mind’s eye.  So our hands bring the external physical world into our personal inner world.  They are also our primary instrument for expressing our personal conscious will in the consensus physical reality.  Each pointing of our hands projects a quantum of our Consciousness.

“Because Arthur Young’s toroidal models of process are so elegant and topologically minimal, they are truly universal.  This means that it should be no surprise that the model human hand designed by the Meru Foundation, whose two-dimensional outlines look like the Hebrew letters, is actually a clearly defined section of a torus!  Likewise, although it might otherwise appear extraordinary, it should also be no surprise to learn that the most compact self-referential geometric form that the letters of the first verse of the Hebrew text of Genesis can take, is also a torus.  In fact, this is where the alphabet generating human hand was found.”  [emphasis added]

The First Hand is shown at <http://www.meru.org/Posters/handappl.html> and as a result in “squaring the circle” at <http://www.meru.org/3220lecture/stpresrl.html>.  The latter shows that this ancient geometrical puzzlement may have had another reasons for being.  Inasmuch as p, the ratio of the circumference to the diameter of a circle, is one of the Transcendental Numbers, and the Hebrew, Greek, and Arabic alphabets are held to be sacred, perhaps the model hand is in itself transcendental.

Tenen goes on to show a figure of a tangent line to a circular ring, which can be shown to form the model hand.  He goes on to say, “We express our will to others by both gestures and words.  When we wear this transcendental hand and make meaningful gestures, we see outlines of the model hand that match both the shapes and the meanings of the names of the Hebrew, Greek, and Arabic letters.”

The meanings as well as the shapes!  Delightfully amazing!  [This also suggests why hand movements in spiritually based rituals may be so important.  It’s as if we’re speaking an unknown sign language -- or at least unknown to many of the ritual followers.]

We might also take note of the upward spiraling shape portion of the “First Hand” (shown in the Meru website).  The spiral is strangely similar to the horn of a Kudu antelope (shown here). 

 This connection might not get anyone’s immediate attention until they realize that a Kudu antelope horn was used in experiments at the Technical College in Stuttgart, Germany some fifty years ago, and the results are nothing short of amazing.  As recounted in Olof Alexandersson’s book, Living Water; Viktor Schauberger and the Secrets of Natural Energy [2], a water pipe was constructed in the shape of the Kudu antelope’s horn.   



When tests were conducted with this pipe at a relatively high rate of flow, the resistance (to the water flow) in the horn shaped pipe “dropped towards zero, and then suddenly became a negative value.  When the rate of flow was increased there were certain resonance points when friction was at a minimum.  In a straight pipe the resistance increased towards a point when it reached a ‘wall’ where resistance became greater than the energy required in creating the flow. (See results to right.)

“The glass pipe was shown to have a greater resistance to the water flow than the copper pipe, and the precise measurements had indicated a tendency to wave building in straight pipes.  The water apparently tried to break into wave formation and winding meanders, although it constantly met up with the sides of the pipe, which were not ‘in step’ with its own natural flow.  In the spiral pipe, however, the water could move as it wanted, and so resistance was reduced.”  [2]

How do you say “Kudu antelope horn” in Hebrew?  How about Greek or Arabic?  

[4/1/05] One reader's answer to the above questions is that the Kudu horm was used by ancient Hebrews as a ceremonial musical instrument, called the Shofar. It was used to announce the Jubilee Year, going to battle, and other important events. While a ram's horn was also used, and the Ibex, the Kudu horn seemed to be the most ideal and by far the most impressive. For a good photo of a Kudu with horn, see Davar Emet.

The concept of an antelope horn providing a non-resistance -- even a negative resistance -- to the flow of water (or whatever), and this spiraling geometrical shape being responsible for the transcendental Hebrew, Greek, and Arabic alphabets may appear a bit outrageous.  But one curious aspect is the measurement of the cross-sectional angles between the curls of the horn.  This yields approximately 19.5o -- one of the more notable angles in Hyperdimensional Physics.  This angle corresponds roughly to the 19.47o of latitude where the points of an inscribed tetrahedron in a sphere touch the sphere’s surface (in addition to the pole).  Planetary examples of the 19.5o latitude include the Red Spot of Jupiter, and the Blue Spot of Neptune, as well as the volcanoes Olympus Mons on Mars, Mauna Loa on Earth, and Mount Popocatepetl in central Mexico.  These locations are generally construed as extremely high energy sources.

When the Meru Foundation’s “First Hand” is inscribed in a tetrahedron (referred to as “The Light in the Meeting Tent” <http://www.meru.org/GodofAbe/onegdpix.html> [shown on page 8], the cross-sectional angle of the spiral is again approximately 19.5o!  Is the “unfurling vortex funnel, called ‘The Internal Structure of B’Reshit’,” just another form of non-resistant energy flow -- or another form of Superconductivity?


 Sacred Geometry         Golden Mean         Philosophy

Forward to:

The Great Pyramids         Orion         Sirius         The Dogon Tribe



[1]  Published in the Meru Foundation Journal,  Torus, Vol. 2, No. 3, 3 January 1997.

[2]  Olof Alexandersson, Living Water; Viktor Schauberger and the Secrets of Natural Energy, Gateway Books, Bath, England, 1990.



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