Wednesday, June 19, 2013

Stretching the Cord, or the Development of Prehistoric Geometry

Cernunnos with rod (blue) and cord (red) From the Gundestrup cauldron
“Stretching the cord,” is a phrase some will be familiar with today; it was written about by the Sumerians, Akkadians, Egyptians, and patriarchal Hebrews, and was directly alluded to by yet older civilizations. This process is indirectly testified to archaeologically at Altamira (18,000 BC), Lascaux (14,500 BC), Nabta (12,500 BC), Cappadocia (10,500 BC), Lixus (9500 BC), Byblos/Sphinx (9000 BC), and Azors (6500 BC). Stretching the cord begins with yarn, twisted and roved into a cord as a string compass used to make a circle. Likely this dates to before 32,000 BC. It is simple really, a stick in the ground, a string looped at one end, loop over the stick, another stick at the other end (or today a pencil), pull it taught and move it around, marking the ground with a large circle. I used this technique to make a 12 foot circle on a stage floor with a 6 foot string, a nail, and a pencil. Perfect spirals can also be created by fixing the string to a thicker stick in the center; as the marking-stick is moved around, the string winds onto the center stick, pulling the marking-stick in evenly to the center.
The rod and cord used for measuring and marking out patterns on the ground, for division of time, and for laying out megalithic observatories are depicted on images of ancient kings and queens. These artifacts are symbols of power and influence, as both are a result of knowledge and tools which improve the lives of everyone else. (prediction of natural cycles recorded in calendars allowed preparation for seasons and thus increased survival)
“Stretching the cord” is a phrase describing humankind’s invention of geometry and mathematics used to this day. No historian or archaeologist we know of has seen this (examples shown below). Likely mathematicians ignored pictures of the rod and cord, while archaeologists and historians could not appreciate what they saw. Experts see what they want to, not what is there.  
Stretch the cord? Yes, stretch it out, as it is kept rolled up. Straightened out it becomes a string compass to make a circle using one peg in the center, or an ellipse using two pegs, or zigzagged between multiple pegs to make more intricate constructs. The secret is not stretching it too much and lengthening it, or leaving it limp and too short. The cord is marked off with knots to check lengths, intervals measured by the rod, like inches on a ruler. 
The most significant constructions, which likely originated as prehistoric textile workers cat’s cradles, are the circle, ellipse, and 3,4,5 triangle, as well as trisection and quintisection of angles, and even seven pointed stars. 
The use of the cord by the Vanir (ca. 5000 BC) for the development of geometry reveals the origin of Solomon’s Key, the gavel, mathematical foundation of keystone symbolism, Masonic ceremony, and ethical simile to geometric-mathematical truth. Our ancestors recorded their knowledge with symbols, passing their images, accompanied by oral tradition, into our contemporary world. The Brotherhood of Freemasons and their sisters in the Order of the Eastern Star have inherited the responsibility of preserving and sharing the knowledge of the Vanir through symbol and ritual designed by those exquisitely attentive to pattern, tradition, and detail as found in symbolism and oral mythology.
(ref: Dr. Robert Duncan-Enzmann)
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