Above: example of the geometry that can generate one or more circles,
equal to a linear time count, in the counting units explained below.
It is clear, one so-called “sacred” geometry was in fact a completely pragmatic method in which the fourfold nature of astronomical day and month counts allowed the circularization of counts, once made, and also the transmission of radius ropes able to make metrological metrological circles in other places, without repeating the counting process. This “Equal Perimeter” geometry (see also this tag list) could be applied to any linear time count, through dividing it by or π: The constant ratio of a circle's circumference to its diameter, approximately equal to 3.14159, in ancient times approximated by rational approximations such as 22/7. = The simplest accurate approximation to the π ratio, between a diameter and circumference of a circle, as used in the ancient and prehistoric periods., using the geometry itself. This would lead to a square and a circle, each having a perimeter equal to the linear day count, in whatever units.
And in two previous posts (this one and that one) it was known that orbital cycles tend towards fourfold-ness. We now know this is because orbits are dynamic systems where potential and kinetic energy are cycled by deform the orbit from circular into an ellipse. Once an orbit is elliptical, the distance from the gravitational centre will express potential energy and the orbital speed of say, the Moon, will express the kinetic energy but the total amount of each energy combined will remain constant, unless disturbed from outside.
In the megalithic, the primary example of a fourfold geometry governs the duration of the lunar year and From Earth: the time in which the sun moves once around the Zodiac, now known to be caused by the orbital period of the Earth around the Sun., as found at Le Manio Quadrilateral survey (2010) and predicted (1998) by Engineer, teacher and author, who discovered the Lunation Triangle (c. 1990), that enabled the lunar year to be rationally related to the solar year. During the 1990s we collaborated to further understand the astronomical and numerical discoveries of the megalithic astronomers. in his The right-angled triangle within which the lengths of the two longer sides are the relative proportions of the solar and lunar years. with base equal to 12 lunar months and the third side one quarter of that. Three divides into 12 to give 4 equal unit-squares and the triangle can then be seen as doubled within a four-square rectangle, as two contraflow triangles where the hypotenuse now a diagonal of the rectangle.
Another megalithic example is only a few miles from Le Manio, at Crucuno and see also last post, where the Octon of 4 eclipse years was equated to a linear count just less (1.5 days) than 47 lunar months or 1388 days. This monument was built as a framework to reliably count between two eclipses four eclipse years apart, by counting days in one Iberian foot per day, since 27 feet are then 29.53125 Iberian feet (its rational length in days) since, at Le Manio, it had been established that 32 lunar months corresponded to exactly 945 days. The eclipse seasons are already the the time taken (346.62 days) for the sun to again sit on the same lunar node, which is when an eclipse can happen. divided by two and so half again gives units of 86.655 days, which, times 16, is the Octon of 1386.48 days.
The last eclipse year can be made into a square of that side length, whilst that side length can be divided into eleven parts and a radius rope can then be generated of length seven of those parts to create a circumference of 1386.48 days, in that case each day being an Iberian foot. This makes the circumference about 1267.63 English feet (386 meters).
While not every time cycle in the heavens is literally or visually made of four parts, any counted length can be halved and halved again to create a four-square rectangle. And the whole of the counted length can be transformed (as above) into a circular count of the whole counted cycle, once you have made the right length of radius rope in the same units used to count days or months. Such ropes could be retained so that circular structures are easily made without a count, at other megalithic sites.
Gough & Harris have recently found for many of Britain’s and Brittany’s circles, eggs, flattened circles , squares and other geometries incorporating the eclipse year, both in units known to Alexander Thom’s work and in other units like the Iberian foot, and I shall be investigating their proposed sites in later posts and their Megalithic Foot which they found in lengths near the length in days of the eclipse year.
Such “eclipse perimeters” or indeed, the counting of time as lengths, was not realized by Thom and in the later megalithic and by early dynastic Egypt, the The standard prehistoric foot (of 12 inches) representing a unity from which all other foot measures came to be formed, as rational fractions of the foot, a fact hidden within our historical metrology [Neal, 2000]. was soon taken as the number one in a much more sophisticated metrological system, the most famous being the Great Pyramid of Giza as a geodetic model of the World. One still finds counted lengths of time and Equal Perimeter geometries within such later buildings (see Sacred Geometry: Language of the Angels) since those cycles related to later sacred calendars, or the celestial spheres as spiritual beings within civilized religious thought.