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Great Chamber |
by David Bowman
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The Second's Pyramid Greatest Chamber is somehow a 'compositional mix' of the King's and Queen's Chambers from the Great Pyramid. It's elongated plan is covered, like in case of the Queen's Chamber, with a ridged roof. The dimension of the royal cubit is very similar to the cubit discovered in the King's Chamber. Petrie describes the height of the walls as 206.4 or 206.5 which clearly indicates the value of 10 royal cubits.
The chamber is, I95.8 on E., 195.9 on W.; 557.9 on N., 557.4 on S.; 206.4 high at N.W.; 206.3 and 206.5 (?) at SW. - Petrie
The dimensions of the chamber's floor plan equal to 27 royal cubits in length, and 9.5 royal cubits in breadth. Even though Petrie finds the value of 9.5 'unclean', and therefore improbable in the context of a true design, it seems that this number is correct since it fits into the fifth of Pell's series that approximate the geometry of the octagram together with other main dimensions of the Great Chamber:
1 5 11 27 65 157 ...
The length is directly associated with the fourth number, 27, the height is twice 5, whereas the breadth of 9.5 royal cubits comes from the development of the 'octagramic rose' formed by the numbers of the fifth Pell's progression.
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Octagramic Rose graphically represents the development of the factors from the fifth progression. This illustration represents only a part of this development that is important for the generation of proportions of the Great Chamber. |
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This diagram represents the rationalized geometric proportions that rule the dimensions of the Great Chamber. If we consider the dimensions rationalized by the Pell's Series, and chose 66.5 palms as a module, the ratio can be expressed as 1 : 2sqr(2). This module is a very interesting choice, since a circumference of a circle with radius 66.5 is 418, equivalent to the length of the Great Pyramid's edge, 418 royal cubits.
The two dimensions of the floor plan of the Great Chamber conceal also another riddle. The analysis of King's and Queen's Chambers in the Great Pyramid shows that numbers 13 and 14 were of particular interest to the builders. This chamber in the Second Pyramid also echoes that mystery: The lenght, represented by number 27, is a compound number of 13 and 14, since 13 + 14 =27. The breadth of the chamber, which seems puzzling 9.5 royal cubit, becomes more clear when perceived as a half of the diagonal of the 13:14 rectangle, which is approximately 19.
The height of the chamber to the top of the ridge seems the same as the height of the Queen's Chamber in Great Pyramid, 333 digits.
Vyse gives 38 inches for the gable roof rise (though measuring the height from the wall base instead of the floor), and this gives 244.4 for the height of the ends. - Petrie
This unusual dimension of 333 digits is also concealed in the factors of the fifth Pell's progression, since the sum of the fifth and sixth factor gives a synonymous number, 65 + 157 = 222.
| dimension |
b.inch |
cm |
royal c. |
palm |
digit |
| width |
195.85 |
497.5 |
9.5 |
66.5 |
266 |
| length |
557.65 |
1,416.4 |
27 |
189 |
756 |
| wall height |
206.4 |
524.3 |
10 |
70 |
280 |
| ridge height |
244.4 |
620.8 |
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333 |
| floor diagonal |
591 |
1,501 |
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200 |
800 |
| space diagonal |
639.6 |
1,624.5 |
31 |
217 |
868 |
Summary of dimensions of the Great Chamber
It seems that the basic dimensions of the Great Chamber completely resemble the metamorphed dimensions of the Queen's Chamber. The extreme heights seems to be the same; the height of the walls, 10 royal cubits, is the same as the breadth; the lenghth, 27 cubits, is 3-times the height of the walls, and the breadth is the same as the mean value between the height of the walls and the breadth of the Queen's Chamber: 9.5 = (9 + 10) / 2.
Some dimensions of the chamber also echo the composition of the Great Pyramid. The width expressed in palms is 66.5 which is a radius of a circle with the circumference of 418, the length of the slope of the Great Pyramid. The height of the walls, 70 palms as a radius of a circle with circumference 440, is reflecting 440 royal cubits of the base of the Great Pyramid. A verification for the proposed 'intentional' construction of numbers prove also exact diagonals like 31 royal cubits for the space diagonal of a cubus embracing the chamber, or 200 palms for the diagonal of the side walls.
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