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MATHESIS of Giza Plateau |
by David Bowman
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The most studied architectural object in the world is the Great Pyramid. Vast literature is still produced in order to expose another view, measurement, another theory that will explain the rationale or i-rationale of this ancient mystery. But it has always been considered separately, in fact relatively recent Orion theories produced by Hancock and Bauval, started to treat Giza Plateau as a whole. It has always been considered that the big wonder is the Great Pyramid, and the Second and Third Pyramid are mostly presented as a degradation from perfection. From proportional point of view this notion would be hard to sustain, if the other two pyramids were so carefully and colorfully analyzed as the Great Pyramid. John Legon was the first to produce a theory that is consistent about the composition of the whole of Giza Plateau.
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Composition of Giza Plateau |
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It is obvious that the sum of the sides of the rectangle that embraces all three pyramids symbolically represent a sqr(2) and a sqr(3). To find this, Legon chose a fundamentally correct approach: he transferred the measurements into measures of the ancient Egypt, royal cubits. Other kind of analysis of the intention of the builders is from our point of view completely futile. The correct numbers would be 1,732 and 1,414 royal cubits, and the real measurements of this vast object differ only ?2 royal cubits approximately. Even this error is questionable since extreme dimensions of the Giza Plateau can be deduced from Petrie's measurements only as a sum of bases and spaces of the pyramids, and the Second's and Thirds's bases can vary ?1 royal cubit. At this point we part from Legon's findings and will introduce some new findings concerning the composition on Giza. Analysis of the different parts of the Great Pyramid's exterior dimensions and interior 'hollowings' shows that a most notable constant expressed and repeated many times is pi. This 'infinity' is preserved even in the whole plane, for sqr(2)+sqr(3) = 3.146 which can roughly represent the value of pi. A noticeable co-incidence of measures is the distance of the center of the Second Pyramid from the base of the Great Pyramid which is 418 royal cubits or the same as the edge of the Great Pyramid.
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Modular Composition of Giza Plateau |
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Curiously, but there is a ratio that closely resembles the described relation between a sqr(3) and a sqr(2) - 11:9. This ratio 11:9 represents a modular grid of the whole composition on Giza plateau, with the module of 100 x Pi/2 royal cubits (= 157 rc). Not only the main dimensions fit this module, but also some other dimensions. Eleven modules are further divided into 7 and 4, two for ancient Egyptians most sacred numbers., encoding also the Pi approximation - 22/7 (11:7 = Pi/2). Seven modules also connect the center of the Great pyramid with the center of the Third, while 11/2 modules is the distance between the center of the Second to the center of the Third pyramid. Numbers from the described composition are also factors in the third of Fibonacci Series, and fourth of Pell's Series.
A longitudinal section of the plateau reveals also an important property of the composition: the heights of all three pyramids together equal the empty space between them:
280+275+125 = 680 = 250+430
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Giza Plateau from West - heights of the pyramids and spaces between them |
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Are all three pyramids inter-connected by means of proportions? A theory concerning the circles that can be placed within and without the sections of the pyramids will be presented, that attempts to resolve the inter-relation between the three pyramids. This is a most unusual way to handle the relations between the parts and the whole, and is unknown in corpus of analysed architectural compositions. If the pyramids are inter-related by means of proportions that doesn't necessarily implicate that the pyramids were constructed all three at the same time. If not, the gnosis was carefully preserved and the sacred proportions maintained throughout the following generations that continued to construct the pyramids on Giza plateau.
Every triangular section of the pyramid has a circle inscribed and a circle circumscribed. A circle that can be inscribed into the Great Pyramid has the diameter of 213 royal cubits. This measure is also the distance between the Great Pyramid and the Second. A circle circumscribed to the Second pyramid has 213 royal cubits for a perimeter. The inscribed circle is 205 royal cubits in diameter which is also a half of the base of the Second pyramid, 410 royal cubits. Finally, 205 royal cubits is also the diameter of a circle circumscribed to the Third Pyramid. Both dimensions that rule the composition, 205 and 214 royal cubits, are together the same as the edge of the Great Pyramid, which is calculated as 418 royal cubits. Schematically, the inscribed circle of the first pyramid becomes the circumscribed circle of the second, and the inscribed circle of the second becomes the circumscribed circle of the third pyramid. Below the idealized scheme of the 'circular' composition is drawn, idealized because in some places it is hard to tell from Petrie's measurements whether it is 213 or 214 royal cubits.
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| An unusual composition of circles in-scribed and out-scribed to the pyramids |
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An interesting feature of this composition is also the sum of the circumferences of the circles that are inscribed to the triangles, which is 1,615 royal cubits, which reminds on fi constant = 1.618034. Both circles of the Great Pyramid represent a Solar number 666, since 453+213 = 666 royal cubits. The number 666 is the sum of numbers from 1 to 36 forming the so-called Magickal Seal of Sun, a grid of 6x6. Number 6 always represents the idea of Sun, and Egyptian equivalent that would best suit this office is most popular Osiris, the dying God. A clear illustration of Osiris associated with number 6 is Amen-en-Apt rod, where Osiris comes as the sixth in a row of Egyptian pantheon:
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Amen-en-Apt rod representing the correct succession of Egyptian gods, beginning with Atem, and Osiris on the sixth place. |
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 "MATHESIS of Giza Plateau")