We have here 3 circles. The inner circle has a diameter of 10. The next circle is 12.36068. They relate as 1:1.236, the same length that determines the navel and the size of the Pelvic Vesica Piscis in the female. If the Thoracic Vesica is 1, the Pelvic Vesica in the female is 1.236, contained within the golden rectangle, EFGH. This golden rectangle holds more surprises ahead that I hope we will be able to get some handle on, as it involves gravity.

The third circle is 12.734. It relates to the inner circle as 12.734:10 or 4/π. And it relates to the middle circle as 12.734/12.36 = 1.03007. This latter ratio happens to be one category for a common male armspan in the horizontal position. The other most common is 1.045 which is probably from 1.0472. In my armspan, one is 1.03 and the other is 1.047. If you multiply them together you get the following:

1.03 x 1.0472 = 1.078689 = 1.618 ÷ 1.5 = 2/3 x 1.618

This 1.078689 holds the key to the male anatomy and how it differs from the female. Note the reciprocal of 1.078689 is .927. With the AU-Canon as a template for the meter, one can see that ‘927’ concerns the generation of the female Pelvic Vesica and hence the womb. Even the number for the Pelvic Circle is a ‘lunar’ number, 29,530,000 km, the Synodical Month being 29.53 days. Through laws of harmony – the way spacetime is broken down into measures, the day and the meter find a relationship through this number 29.53.

Note, too, that there are only 4 points where the inner ‘10’ circle coincides with the square. At all other points, it is contained by the square. This seems to establish the four cardinal points which may act as outlets. The inner circle, on the other hand, is wholly contained within the 12.734 circle.  But the square itself pushes beyond the outer circle at its diagonal points which are 45° to the cardinal points. In contemplating the King’s Chamber from this perspective, one can see that it has the same diameter as the inner ’10′ circle. So it is ‘The Circle-in-the-Earth-Square” and is wholly contained within the Earth Circle. Since the King’s Chamber is located deep within the Great Pyramid and when it was found by Al Mamun in 820 A.D. all the passageways were plugged with heavy stones that could not be moved. The feeling is that the King’s Chamber was designed to be completely hermetically sealed so that it could accumulate the very energy discussed above, by which the Earth’s magnetic field, electrostatic energy and gravitational ‘self-energy as it is called today, could reach a threshold capable of inducing the coveted metamorphosis symbolized by the scarab “Khepere” (The Transformations of Re). The harmonies locked into the paradigm of the King’s Chamber appear to be such that the essence of the Stone (Grail) that ‘burns the Phoenix to ash’, is capable of perpetuating the link between body and ka in the act of spiritual rebirth. At the same time this is what was known as the entrance to the Duat or Gate to the Netherworld through the portal of the 2:1 paradigm; the sba.

In the image above I have laid out the basis of the female anatomy with head, thorax and pelvic vesica. There is a great deal of information in this one image but it will be too complicated for right here. The Thoracic Vesica is 1/3rd of Unity (AB) and the Pelvic Vesica is 1/3rd of 1.236 or the golden section of the height, 2 and width of the golden rectangle, EFGH. I have laid 3 ‘grail tables’ over the navel position, but will discuss them at a later stage. The mouth of the Thoracic Vesica falls exactly on the mouth of the archetypal head marked with a dotted line. I put this image in to provide a sense of how the figure  gathers itself up within the basic geometry and even at this early stage seems to want to spring to life. The golden section within a 2:1 paradigm contributes enormously to this well-spring of life.

In the image below we see the same basic paradigm applied to the Astronomical Unit. Here the golden section is playing an even deeper role. The short length that is around 57,338,563 km is collapsed into the abdominal circle that will contain key organs including pancreas and kidneys; while the larger segment, 92,773,794 km collapses into a circle that is 29,530,815 km and becomes the womb. It is a striking coincidence that the lunar number associated in days with the Synodical Month (29.53066 days) should show up in meters or kilometers in the Pelvic Vesica and Pelvic circle. A human gestates according to the Synodical Month in exactly 266 days or 9 synodical months. One can say, provisionally, that the Synodical Month (29.53 days) has a formative influence on human gestation. It determines ovulation. And when the golden section is divided by 3 we here have 30,922,000 km which is another lunar number. In 25 years there are 309.2 lunations or synodical months. The width of the Parthenon is 30.922 meters. The internal width of the transepts at Chartres is twice that, or about 61.8 m, or some say a few centimeters more.  One second of arc at the Earth’s Equator is 30.922 meters. The Parthenon is also based upon ‘squared-circle’ geometry but I will have to show it elsewhere.

SQUARED-CIRCLE ARCHETYPE

Now take note of the difference between AG and AN. It is 1.3673 = 6.3673 – 5. And we can note an archetype here also worthy of contemplation. 6.3673 ÷ 1.3673 = 4.6578 = AG ÷ NG.

We have already seen this relationship in the Great Pyramid which I will now show again. The number that corresponds to 1.3673 is 60 cubits or 31.416 meters. This depends from the scale of 1: 43,200, proportioned to the size of the Earth. 432 is itself a member of an important number series I will call Series A, very familiar to the ancients. I will give some members right here:

We have here 3 circles. The inner circle has a diameter of 10. The next circle is 12.36068. They relate as 1:1.236, the same length that determines the navel and the size of the Pelvic Vesica Piscis in the female. If the Thoracic Vesica is 1, the Pelvic Vesica in the female is 1.236, contained within the golden rectangle, EFGH. This golden rectangle holds more surprises ahead that I hope we will be able to get some handle on, as it involves gravity.

The third circle is 12.734. It relates to the inner circle as 12.734:10 or 4/π. And it relates to the middle circle as 12.734/12.36 = 1.03007. This latter ratio happens to be one category for a common male armspan in the horizontal position. The other most common is 1.045 which is probably from 1.0472. In my armspan, one is 1.03 and the other is 1.047. If you multiply them together you get the following:

1.03 x 1.0472 = 1.078689 = 1.618 ÷ 1.5 = 2/3x 1.618

This 1.078689 holds the key to the male anatomy and how it differs from the female. Note the reciprocal of 1.078689 is .927. With the AU-Canon as a template for the meter, one can see that ‘927’ concerns the generation of the female Pelvic Vesica and hence the womb. Even the number for the Pelvic Circle is a ‘lunar’ number, 29,530,000 km, the Synodical Month being 29.53 days. Through laws of harmony – the way spacetime is broken down into measures, the day and the meter find a relationship through this number 29.53.

Note, too, that there are only 4 points where the inner ‘10’ circle coincides with the square. At all other points, it is contained by the square. This seems to establish the four cardinal points which may act as outlets. The inner circle, on the other hand, is wholly contained within the 12.734 circle.  But the square itself pushes beyond the outer circle at its diagonal points which are 45° to the cardinal points. In contemplating the King’s Chamber from this perspective, one can see that it has the same diameter as the inner ’10’ circle. So it is ‘The Circle-in-the-Earth-Square” and is wholly contained within the Earth Circle. Since the King’s Chamber is located deep within the Great Pyramid and when it was found by Al Mamun in 820 A.D. all the passageways were plugged with heavy stones that could not be moved. The feeling is that the King’s Chamber was designed to be completely hermetically sealed so that it could accumulate the very energy discussed above, by which the Earth’s magnetic field, electrostatic energy and gravitational ‘self-energy as it is called today, could reach a threshold capable of inducing the coveted metamorphosis symbolized by the scarab “Khepere” (The Transformations of Re). The harmonies locked into the paradigm of the King’s Chamber appear to be such that the essence of the Stone (Grail) that ‘burns the Phoenix to ash’, is capable of perpetuating the link between body and ka in the act of spiritual rebirth. At the same time this is what was known as the entrance to the Duat or Gate to the Netherworld through the portal of the 2:1 paradigm; the sba.

In the image above I have laid out the basis of the female anatomy with head, thorax and pelvic vesica. There is a great deal of information in this one image but it will be too complicated for right here. The Thoracic Vesica is 1/3rd of Unity (AB) and the Pelvic Vesica is 1/3rd of 1.236 or the golden section of the height, 2 and width of the golden rectangle, EFGH. I have laid 3 ‘grail tables’ over the navel position, but will discuss them at a later stage. The mouth of the Thoracic Vesica falls exactly on the mouth of the archetypal head marked with a dotted line. I put this image in to provide a sense of how the figure  gathers itself up within the basic geometry and even at this early stage seems to want to spring to life. The golden section within a 2:1 paradigm contributes enormously to this well-spring of life.

In the image below we see the same basic paradigm applied to the Astronomical Unit. Here the golden section is playing an even deeper role. The short length that is around 57,338,563 km is collapsed into the abdominal circle that will contain key organs including pancreas and kidneys; while the larger segment, 92,773,794 km collapses into a circle that is 29,530,815 km and becomes the womb. It is a striking coincidence that the lunar number associated in days with the Synodical Month (29.53066 days) should show up in meters or kilometers in the Pelvic Vesica and Pelvic circle. A human gestates according to the Synodical Month in exactly 266 days or 9 synodical months. One can say, provisionally, that the Synodical Month (29.53 days) has a formative influence on human gestation. It determines ovulation. And when the golden section is divided by 3 we here have 30,922,000 km which is another lunar number. In 25 years there are 309.2 lunations or synodical months. The width of the Parthenon is 30.922 meters. The internal width of the transepts at Chartres is twice that, or about 61.8 m, or some say a few centimeters more.  One second of arc at the Earth’s Equator is 30.922 meters. The Parthenon is also based upon ‘squared-circle’ geometry but I will have to show it elsewhere.

SQUARED-CIRCLE ARCHETYPE

Now take note of the difference between AG and AN. It is 1.3673 = 6.3673 – 5. And we can note an archetype here also worthy of contemplation. 6.3673 ÷ 1.3673 = 4.6578 = AG ÷ NG.

We have already seen this relationship in the Great Pyramid which I will now show again. The number that corresponds to 1.3673 is 60 cubits or 31.416 meters. This depends from the scale of 1: 43,200, proportioned to the size of the Earth. 432 is itself a member of an important number series I will call Series A, very familiar to the ancients. I will give some members right here:

SERIES A

27  54 108  216 432 864  1728 3456  6912  13,824  27,648  55,296  110,592

Best to note here that one prime interior measure at Chartres is from immediately inside the Royal Portal all the way to the interior Round Point of the Choir is 110.76 meters. Due to the Earth’s flattening, a degree of longitude lengthens by definition as one walks from the equator to the pole. At about 8° Lat the degree of longitude will be 110,591 meters (13th member of Series A). At 25° it will be about 110,764 meters. At Chartres itself a degree of Long is about 111,180 meters. This measure would be very easy to accommodate by simply starting from closer to the immediate door itself at the Royal Portal. Series A is amazing. In miles it gives the Moon’s diameter as 2160 miles or 11404800 feet. When this is divided by another member of the series, 172,800 you get:

11404800 ÷ 172800 = 66 feet

This is the height of the Great Sphinx and two obelisks that disappeared from Heliopolis near 1200 A.D. when the Templars were rebuilding Chartres. A shadow cast by that height at Noon on the Equinox would be ½ the Chartres Square: 11.5965 m.

Above I have marked the proportions where the ½-base is 1.618 = 220 cubits = 115.192 meters. The height is 280 cubits or about 146.6 meters plus a 1/2 – meter platform, totaling say 147.108 meters. The difference between the whole height and the square is 60 cubits or 31.416 meters. 280/60 = 4.666…

Since this is an important point I will also show this in a closer up version. It allows a better viewing of the King’s Chamber looking west. The 31.416 meters that can be seen at the top of the pyramid have been turned into the perimeter of the King’s Chamber. It is as if the whole intention was to take that 31.416 meters and turn it into the sba gate, the entrance to the Netherworld. But what the Pyramid Texts tell us is that the entrance into the Netherworld is  through and as the Eye of Horus. Therefore the King’s Chamber must be the place where the entire endeavor of the Egyptian Civilization reaches its apotheosis; namely the reconstitution of the Eye of Horus. The Egyptians saw this as an example of the principle of Maāt, or Cosmic Equilibrium. And they viewed the Squaring-of-the-Circle as a fundamental expression of Cosmic Equilibrium or Maāt.

Pi represents the horizon of a circle. Horachty meant Horus-of-the-Horizon. Sometimes Atum is referred to as “Him-of-the-Horizon”. The Berlin Papyrus suggests that the name is so mysterious that it cannot in fact be named or even uttered. It is experienced by the spirit of any candidate as too powerful and too mysterious or infinite to label. Encountering the horizon of Him in spirit form absorbs words, language, metaphors and was well-stated by the Hindu as just “that”. “That” is simply the essence of spirit that has shed the corporeal body and even, according to the Tibetans, the double or ka. Sages have long thought that pi, 3.1416… genuinely represents or points to that mysterious “Horizon”.

SQUARED-CIRCLE-MODULUS: 1.27324 ÷ .27324 = 4.659…

Around 1999 I stumbled upon a few clues that turned my head and helped me solve a number of outstanding problems with both female and male geometry. This occurred after I had a preliminary drawing based upon the AU for April 16^th, 1998 (~ 150,108,000 km). Two examples are particularly important. One is a macroscopic resolution which nevertheless has retained considerable mystery. It involves the proportional relationship between the Earth and the Moon. The other is a quantum-scale resolution that concerns the mean momentum energy associated with the nucleons (protons and neutrons) that compose the bulk of the Earth’s atomic mass.

Scientists do refer frequently now to “Mearth”, acknowledging that the behavior between the two bodies is not a typical planet/moon relationship but also possesses aspects of a binary planetary system. For example the Moon is always falling toward the Sun in a concave orbit and even when approaching the waxing square in its orbit around Earth, never goes convex to the Sun the way other moons do, for example around Jupiter and Saturn. Earth and Moon fall together toward the Sun a greater distance than ever the Moon climbs against the Earth in any given time frame. Now, let’s take the  mean diameter of the Earth as about 12,732 km and the diameter of the Moon as 3476 km. Together they add up to 16,208 km which is close to the number of (4/π) ² or 1.2732 x 1.2732 = 1.621. I have shown this above in the drawing of the Great Pyramid. 1.621 is just a little bigger than the golden number, 1.618, but geometers often consider ways that these two great factors work together or dovetail. If you add the Earth and Moon together and divide by the Moon you get: 16,208 ÷ 3476 = 4.66. The Moon is behaving exactly the way the 31.416 meters are behaving at the top of the Great Pyramid. It is important to emphasize that the Egyptians appeared to follow the soli-lunar cycle religiously – literally. They were not only aware of its physical influences, but were equally aware of its spiritual influences and so kept 29 altars, one for each day of the synodical month which is also the  female infradian biological clock.

In the image above I used an Earth radius of 6367 to be consistent with the Squared-Circle illustration shown earlier. I could also have used a cut through the Earth according to its tilt which would be about 6370.5. But for now I will stay closer to the mean for convenience.

The difference between the Moon and our Squared-Circle archetype is that the Moon and Earth have become separated by about 384,401 km between their respective centers of mass. THEY ALSO SHARE A COMMON CENTER OF MASS THAT IS LOCATED ~ 1700 KM BELOW THE EARTH’S SURFACE. This I am calling in the human canon, the SCOM circle or ‘Shared-center-of-Mass’ circle that we have already seen without comment. Its relative size within the final canon is remarkable because it coincides with the golden section! We have to discuss the Astronomical Unit first and how the separation between the Sun and Earth/Moon influenced details now incorporated into the geometry of the male in particular. Then we can appreciate the proportional size of the SCOM circle in the final canon. But that it coincides with the width of the golden rectangle is a remarkable example of the harmony among Earth, Moon and human anatomy.

The Moon is 27.3% of the Earth’s diameter or 3476/12,732 = .273123. It is instructive that the Sidereal Month is 27.3217 days or 27.32% of 100 days. After the mean period of human gestation which is 9 Synodical Months (265.77 days), there are almost 100 days remaining in the year (99.48). Incredibly, this remaining period is where the tradition of the progressed lunation cycle derives from because it shows that 1° approximately equals 1 day which approximately becomes 1 year. Perhaps this suggests that most of us ought to be able to reach 100 years of age if circumstances permit. It’s like an internal implicate clock that simply requires reasonable explicate expression – maintaining natural rhythms – to make it to 100.

Meanwhile the Moon during our time, has taken up a position in the sky where it has about the same angular diameter as the Sun when viewed from Earth. Most scientists of the last few hundred years have regarded this coincidence as meaningless. But as science begins to think more in terms of systems, webs of circumstances, patterns and phases within patterns, it is possible that we will come to see this coincidence as meaningful. My guess is that we will see a type of gravitational resolution in the order of a form of gravitational self-focusing. This is what an eye does. The eye does it largely in response to electromagnetic radiation or light. We will look at the geometry of the eye in a future post, once we have examined another method for squaring-the-circle. But at the level of planetary bodies, gravity plays a much bigger role and in fact the Earth and Moon are bound together in a very shared gravitational field. Just a planetary body on its own is an eye-like resolution. It is gathering spacetime around itself in a shared field. The Earth and Moon are completely immersed in the Sun’s field but the Moon’s tidal influence on the Earth is greater than the Sun’s. The Sun’s inverse square gravity is greater on the Moon than the Earth’s is even though the Earth is so much closer. The Moon’s tidal gravity is about 2.18 times greater than the Sun’s tidal gravity, while the Sun’s inverse square gravity is 2.2 times greater than the Earth’s is on the Moon. There is a form of decussation going on between tidal gravity and inverse square gravity. Tidal gravity is approximately an inverse cube force that is stronger across shorter distances. It is my conviction that this sets up a  tidal gravitational variation cycle around the Earth that helps set both Circadian and Infradian biological clocks located in the suprachiasmatic nucleus just above the optic chiasma in the hypothalamus. Shifting locations suddenly induces ‘jet-lag’. Probably the cause is upsetting the entire metabolic clock that has adjusted to the tidal gravitational variation cycle that stimulates very subtle levels of cell activity such as cytoskeletal microtubules which are involved with consciousness itself. So jet-lag involves even how we think and how our muscles work. It would take up too much space to theorize here how it came to be that the Moon and Earth share these crucial proportional relations. But it suggests to me a very ancient history when both bodies could be shaped together by the same forces operating in the same field. I don’t think the Moon came wandering in from outside. My guess is that the Moon and Earth were once so close together that they were able to be separated in a proportional manner. Now, not only is the Moon proportioned as .2146 or 1/4.659 of the combined diameters, but it has also taken up a position where it appears the same size as the Sun only from the surface of Earth. This suggests to me a form of symmetrical gravitational self-focusing in a shared field. This also increased the harmonious properties of the symmetry. But I am suggesting that this ‘4.66’ factor is not merely harmonious; it is fundamental. The builders of the Great Pyramid were very cognizant of it since they based the dimensions of the King’s Chamber very precisely upon this factor: 280 ÷ 4.66 = 60, or 146.4 ÷ 4.66 = 31.416 meters. And this we have seen is based upon a scale model of the Earth set at 1: 43,200. At Chartres and the Great Sphinx the scale is set at 1:432,000 instead. From an engineering point of view, Chartres could manage a 36 meter vault (118.65 feet) but not a 360 meter vault!!