It is the mathematical harmony between the passages and chambers (rather than a large number of unrelated constants) that leads me to the conclusion that I'm in tune with the architect:
For example, I have argued that the symbolic slope of the Grand Gallery was represented in the soaring elevations, with a perpendicular height of 15 royal cubits, and a vertical height equal to the square root of 280 in royal cubits.
On this basis the sloping floor has a slope length equal to the square root of 280 in royal cubits for a horizontal run of 15 royal cubits (and a vertical rise equal to the square root of 55 in royal cubits).
The 'digit seked' is therefore (15 x 28)/sr55 where sr = square root.
In this thread I have shown that the slope of the Ascending Passage can be interpreted as the 'digit seked' 360/2pi taking pi as 22/7, and that this slope is very different from the slope of the Lower Descending Passage, which is a simple 1 in 2, or the 'digit seked' of 56.
By eye you can see the simple relationship between the slopes of the passages. That's the beauty of the design, and within the design are subtle differences for Khufu to see more than you*.
For example:
GG = sr(LEP X AP)
where
GG = digit seked of the Grand Gallery = (15 x 28)/sr55 = sr(176,400/55)
sr = square root
AP = digit seked of the Ascending Passage = 360/2pi = (360 x 7)/(2 x 22) = 2,520/44
LEP = digit seked of the Lower Entrance Passage = 56
and where
sr(LEP X AP) = sr(176,400/55)
so that, without a calculator
55 x LEP X AP = 176,400
55 x 56 X (2,520/44) = 176,400
70 x 2,520 = 176,400
It follows that:
GG = sr(360 x 280/10pi) taking pi as 22/7
(the width of the Grand Gallery between the benches is 360/2pi digits as a natural continuation of the width of the Ascending Passage at its junction with the Grand Gallery)
Taking the pi scale model approach of 1 digit = 1 royal cubit, as evident from the King's Chamber Circle (perimeter long walls = 1,760 digits) we may now search for a dimension equal to 280/10 pi in royal cubits.
This dimension corresponds to the height of the Niche in the Queen's Chamber to the footing of the floor.
(This is analagous to the pi symbolism in the King's Chamber, which is to the bottom of the lowest course of granite blocks, rather than the actual floor level.)
The design of the King's Chamber was based on the size and the shape of the Great Pyramid, with the height of the pyramid at 280 royal cubits taken as the radius of a circle.
The height of the Queen's Chamber Niche was based on the size and shape of the Great Pyramid, with the height of the pyramid at 280 royal cubits taken as the diameter of a circle. This is the Pyramid's Equal Area Circle, which is equal to the triangular cross-section of the pyramid, as calculated for pi = 22/7.
The Grand Gallery expresses the precise angle to 'Square the Circle' based on two circles, one with a radius of 280 royal cubits, and one with a diameter of 280 royal cubits. This can be reduced to a nice simple diagram, as you well know.
For a simple check project twice the diameter of any circle onto the sloping floor of the Grand Gallery, and the vertical rise is exactly equal to the side-length of the equal area square when calculated using pi = 22/7.
eg taking the Pyramid's Equal Circle with its diameter of 280 royal cubits. Reduce to 280 digits, as represented in Queen's Chamber Niche, and so it fits on the slope:
Vertical rise sr55/sr280 x 280 x 2 = 248.19.. digits as the side length of the equal area square.
Then scale back up and look for the level where the rising square of the pyramid has a side length of 248.19.. royal cubits (peak of King's Chamber Complex).
The depth of the floor in the King's Chamber is 7 digits (2 x 7/2 digits) to the footing of the floor, for its circle with a diameter of 2 x 280 royal cubits.
I would have made the depth of the floor in the Queen's Chamber 7/2 digits for its circle with a diameter of 280 royal cubits.
From Petrie's measurements the height of the door to the Queen's Chamber is 67.44 inches, which equates to 91.6 digits in a decimal analysis. This means the original height of the door was 88 digits (91.6 - 3.5 = 88.1 or 88 accurate to a very small fraction of a digit), if I am in tune with the architect:
The height of the door would have been pi royal cubits (88 digits).
This is all leading to the number of lunar months in 1,460 solar years, and a connection to whatever was in the Niche!
'But why?' is your favourite question:
*Imagine a statue of King Khufu in the Niche
*Read my recent post on Khufu's Horizon in the thread for the Grand Gallery in 'Discussions on Ancient Egypt.'
Mark