In the first part it was ascertained that to the Ancient Egyptians the Phi ratio was associated with the triune relationship of Ra~Osiris~Horus, the three relating to the essential aspect of A is to B as B is to C formulae that lends itself to infinite fractal regeneration. It was seen that furthur to this the ratio was identified as seen as intrinsicaly linked to pentagonal geometry, and identified as correspondant with the movements of the Sun~Earth~Venus, such that Venus reappearing at five equidistant points upon the horizon from a fixed central viewing position led to the planet being seen as the locale for the regeneration of Osiris through Hathor/Isis, the culmination of which was the birth of the Horus King as son of Hathor/Isis upon Earth.

It was seen that geometry relevant to the iconographic representation of this sequance of events, from the initial numeric determination through Thoth, through to the establishment of Osiris/Horus upon the throne, involved Phi/Pentagonal geometry, and vignette composition within an armature of 'golden-section' proportion.

The starting point of this second section is to note the interest in the inverse angles of the centrally determined pentagon within the golden-section armature, that were seen in the illustration of Osiris enthroned with the Goddess' of upper and lower Egypt, with Thoth and Horus binding the thrones, and is also seen above in the geometric breakdown of the two Aker lions, that looked West to the setting son and Eastward toward the rising,

The angle to note then is that which describes 18' from the vertical intersecting the eye of each Aker lion, obviously froming a 36' degree angle with the ascending line of the central pentagon. It is this line set 18' degrees against the vertical which is key to placing the geometry found within the illustrations and raised relief sculpture, to the layout of the sacred sites of the Giza plateau, as from the centre of the pyramid of Menkaure to the head of the sphinx, in terms of exactitude probably at the location of the Altar between the paws, is an 18' angle, and indeed can not only be taken as the key determinative angle of the architectural layout, but also the determinative length for the site layout.

Below then is the geometry located in the illustrations transposed upon the monuments of the Giza Plateau, with the line from the centre of Menkaures pyramid to the Altar of the sphinx as the key determinative.

 

 

 

 

Having transposed the Phi/pentagonal geometry in such a manner onto the Giza Plateau, and taking into account the interest in the inverse angles of the central pentagon as determined from illustration, then it can be seen that essentialy one can conjecture three stars derivative of the overlay interlocking.

If one considers one such star in isolation, that which is projecting from the centre of Menkaure's pyramid, it can be seen that this not only shows good relationship to the causeway and angle toward the sphinx upon which it is based, but also the internal angles of correspondance of the star, and the key determinative length, based upon the distance from the centre of the pyramid to the head of the sphinx. Also showing accordance are sighting lines of the relationship of this pyramid to those of Khufu and Khafre, as well as giving projection toward the terminal of the causeway from the pyramid of Khufu.

To furthur understand the site one needs to take into account that the Egyptian manner of dividing their 360 day year into 36 decans, each therefore of 10 days will lend itself to integration with Pentagonal geometry, as the angles of the Pentagon at the five tips of the star are of 36', then any subdivison of a circle into ten will result in ten 36' angles, and it is this consideration which appears to be found within the geometric layout, projecting from the Dream Stela at the head of the sphinx. In effect this is the inverse of 36 decans x 10=360 days, to 10 x 36'.

Below then we see the correspondance of the projected ten 36' angles from the sphinx, the proper centre of the site therefore, and this directly associated with Ra-Horus as the essential schematic of the solar year. The pentagonal projections then find accordance with this centralized motif. Essentialy the primary consideration of the symbolism is the Sun/Ra, interwoven into this the pentagonal geometry of the Ra~Osiris~Horus esoterica.

From the centre of the sphinx the ten directions set in accordance with the North~South axis, obviously projected forward from the Sphinx as well as toward the West, and it should be considered that there was mention of a correspondant sphinx upon the facing East bank of the Nile in former times, any site considerations therefore would also have taken projections toward the East also into account.

 
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The conceptual framework then within which the Pyramids are positioned is of considerable extent, and the design whilst simple enough at it's most basic lends itself to highly complex and intricate relationships. The design being centred within the area of the Sphinx suggests the greater circle should be equated with Ra, and the ten most basic subdivsions of the circle each according with 36 days of the Solar year. The star within the circle of the sun being indicative of the Duat...

 

   

 

 

     

 

This same geometry however is best seen to dazzling effect in the raised relief sculpture of the Dream Stela between the legs of the Sphinx, it is from here that the geometry of the Giza plateau projects, and it is here that the schematic is perfectly presented, if one is going to hide something the most obvious place is generally the last where anyone will look...

Again, as in the Book of Caverns the two stars project from the centrepoint of the vertical North-South axis, one sphinx looking toward the West and the other the East, with the central point correspondant to the location of theAltar before the Dream Stela itself in terms of the Giza Plateau.

 

   
 
 

 

Regarding the main symbolic function of the pyramids, then according to Zahi Hawass the pyramids complexes were dedicated to three principle Deities, namely Re, Horus, and Hathor, and these can thus be suggested as relative to the three types of Royal Pyramid, the main pyramid of the Pharoah, the cultic satellite pyramid, and the Queens pyramids.

The two pits that flank the upper temple East of the pyramid house boats that were probably for Khufu as Horus. These pits are oriented North and South. This orientation may relate to the power of Horus which was written in ancient texts to have extended from the North to the South. Their location near the upper temple suggests that these boats were also connected with the living King because the temple's design is thought to have been based on the palace of the living King as Horus.5

The first boat pit may have been connected with the Cult of Hathor who was one of the triad of deities of Giza. The Pyramid complex was dedicated to the Gods Re, Hathor and Horus


[guardians.net] ]

Some of the best preserved pieces are the group statues from the valley temple of the king in the company of the goddess Hathor and a nome-deity. The king is always shown in the white crown of Upper Egypt and the nome deities are those of Upper Egypt likewise. Perhaps they were originally placed around the central court where many fragments of others were found. These triads could also be interpreted as representing Horus, (the king), Hathor and Re (represented as the sun disc on Hathor's crown). They would then be the focus of the cult of the sun god, Re, as creator and sustainer of the world. Hathor is the daughter and wife of Re, depicted with the features of the queen who is the wife of this king and mother of the next one. These triads suggest that the Old Kingdom pyramid complexes were dedicated to the king and these deities and reinforces the close relationship between them.

The statuary program found inside the complex displays the superb quality of arts and crafts. The triads in Menkaure's valley temple suggest that his pyramid complex was dedicated to Re, Hathor, and Horus. In addition, they show the king's relationship with the gods and are essential to his kingship, indicating both a temple and palace function.

 

[www.guardians.net]

In terms of the debate of whether the pyramids were essentialy solar or stellar symbolic representations, or both, i've never seen the function of the Cult/satellite pyramids brought into consideration, nor the Queens pyramids, and it's these i'd propose should provide the correct contextual evidence to indicate the solar symbolism of the greater pyramids.

One suggestion i've seen regarding the function of the cult Pyramids, is that these served as a repository for the Pharoah's Eye of Horus regalia upon his death, having ruled through the spirit of Horus, with this spirit in conjunction with regalia being reborn in the next Pharoah at his Coronation, and that would seem to me to present the correct role for the cult pyramids, as the Eye of Horus was an extension of the power of Re, and thus the primary extension of power is placed in closest proximity to the Pyramid.

Furthur to this, whilst Seth is a given in Egyptology as associated with the Planet Mercury, i would always qualify that to the aspect of Mercury as Evening star, with the counterpart Horus being indicative of the planet seen as Morning Star, through the symbolism of the circling Falcon. In terms of the relationship of Mercury to the Sun, then obviously it is the closest planet, of inferior orbit, and will never appear too distant from the Sun, in relative terms, and in terms of the Eye of Horus being an eye of Re, the relationship of the two is inseperable.In terms of simplistic scaling, then the proportions of the greater pyramids to the cult pyramids lend themselves to being indicative of the differential between the size of the Sun and the planet Mercury.


The secondary extension of the power of Re to consider is the Eye of Hathor/Sekhmet, again an eye of Re and thus inseperably related, represented through the second planet of inferior orbit and closely connected to the Sun in terms of Evening/Morning star, Venus, the spirit of which the Queen would have been associated with, and thus the Queen's pyramids are indicative of the relationship of the Eye of Hathor to Re.
Again the scaling of these relative to the greater pyramid is appropriate, and also they are larger than the cult pyramids, which would accord with natural observance, and slightly furthur away.


Thus in the Pyramid complex one finds the greater pyramid representative of the power of Re, and the two aspects of secondary pyramids indicative of the extension of his power through the Eyes of Re. Any attempt to suggest the greater pyramid is essentialy a stellar symbolic representation, really just needs these secondary aspects to go away...The Pyramid complex was dedicated to the Gods Re, Hathor and Horus.

 

 

 
 

 

Part One- Preliminary study of Pentagonal geometry and associated Phi ratio in terms of the cult of Osiris.

Part Three-Considering the contextual implications of a subdivision of Giza into ten sectors.

Part Four-Examaning the central area of the projections around the Sphinx and associated cults.

Part Five-Determination of the central cultic role of Sokar~Osiris in terms of the Giza Necropolis.

Part Six-The Birthing of Nefertem through the Sacred Centre.by the waters.

Part Seven-The Egyptian Model of the Five Celestial Divisions.

Part Eight-The Sah~Sopdet~Sopdu relationship

 
 
 
 
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