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# Queen Chamber

by David Bowman

Another opportunity to check whether the royal cubit fits modularly into dimensions is the so called Queen's Chamber. Petrie gives the following average dimensions:

The size of the chamber (after allowing suitably in each part for the incrustation of salt) is on an average 205.85 wide, and 226.47 long, 184.47 high on N. and S. walls, and 245.1 high to the top of the roof ridge on E. and W. walls.-Petrie

 Dimensions in royal cubits
The most interesting is the width of the chamber since it is the same as the breadth of the King's Chamber, 206 inches or 10 royal cubits. This is a clear indication that the Queen's Chamber was constructed in the same manner as the King's, by means of ratios of whole numbers. The length of 226 inches is almost precisely 11 royal cubits, and therefore the plan represents a rectangle with sides in ratio 10:11. The height of the walls until the roof begins is 184.47 or 9 royal cubits within the tolerance of an inch. The height until the top of the roof ridge is even more unclear, for the angle of almost precisely 30 degrees suggests that the height of the roof was designed by means of geometry, and therefore only rational approximation exists in place of an irrational dimension. If the base of the triangular roof is taken as 10 royal cubits, the height is 10 x sqr(3) / 6 = 2.88675 royal cubits or 81 digits. The interesting calculation is if this number is added to the height of the walls, 81 + 28 x 9 = 333 digits! Note that 81 is 3 x 3 x 3, and 9 is 3 times 3. Also the triangle of the roof shows affinity to number 3: 2.88675^2 + 5^2 = 33.3. The spatial diagonal of a cubus 280/308/333 is 19 royal cubits.

 dimension b. inch cm royal cub. palm digit width 226.5 575.3 11 77 308 length 205.9 523 10 70 280 height walls 184.5 468.6 9 63 252 height ridge 245.1 622.6 geometry = 333

 Geometry of section
The 30 degrees angle of the roof is fitting into hexagram inscribed within the circle with the diameter equal to the height of the chamber (the error is about 5 digits on each sides).

The relation between the length of the walls, 10 royal cubits, and the height, 9 royal cubits, is concealing another precise method of squaring the circle: if a circle is outlined to a square of 9 units it has a circumference of 9 x sqr(2) x 22/7 = 40 units, which is the same as a circumference of a square with sides of 10 units (4 x 10 = 40). A comparative example of such ratio can be found in Ezekiel's (Eze 48) description of Holy Jerusalem in the center of Holy Oblation.

The so called Queen's Chamber seems to bear a special importance in the whole composition of the Great Pyramid. The width of the chamber together with the height of the walls repeats the general proportions of the Giza plateau floor plan disposition: the ratio 11:9.

 Chamber walls and the whole Giza plateau floor plan disposition are possibly arranged in ratio 11-9

## Pythagorean Triangle in Queen's Chamber

As described, the King's Chamber contains the Pythagorean Triangle concealed in main dimensions. The numbers 3, 4, and 5 also seems to be encoded in the proportions of the Queen's Chamber. The floor diagonal measures 416.25 digits, and is in perfect relation 5:4 to the height of the chamber, 333 digits: 416.25 / 333 = 5 : 4. The number 3 is missing, and the measure close to 249.75 digits that would complete the Pythagorean Triangle is found in the height of the walls, 9 cubits is 252 digits, which is for architectural scale close to the needed 249.75 digits and the number 3.

## Niche

A strange architectural element is cut from the eastern wall of the Queen's Chamber, a niche, which is 41 inches deep cut into the stone. Many perplexing theories exist about the nature of this opening in the eastern wall just off the center of the main axis, from spiritual to decorative purposes, but the real purpose still remains a mystery. No other chamber on the Giza plateau bears a similar carving into the masonry.

The general form of the niche was a recess 41 inches (2 cubits) deep back 62 inches (3 cubits) wide at base, and diminishing its width by four successive overlappings of the sides (at each wall course), each of 1 cubit wide, until at 156 high it was only 20 (1cubit) wide, and was finally roofed across at 184 high. Thus, of the 3 cubits width of the base, one cubit was absorbed on each side by the overlappings, leaving one cubit width at the top.-Petrie

 dimension b. inch cm royal cub. palm digit width1 61.74 156.82 3 21 84 width2 52.74 133.96 2.5 17.5 70 width3 41.83 106.25 2 14 56 width4 30.43 77.29 1.5 10.5 42 width5 20.3 51.56 1 7 28 sum 10 70 280 height 183.8 446.85 9 63 252

The widths of the successive openings are diminishing by a module of 1/4 of a royal cubit. The Niche is positioned just about off central axis of the eastern wall. The angle of the roof, which matches 30 degrees, suggests the use of the equilateral triangle for the proportioning. It seems that the geometry of the hexagram was applied for the section of the Queen's Chamber with niche. Rotations of the triangles that can be drawn within the circle around a hexagram drawn over the section of the chamber, aligned with the angle of the roof and having the height of the chamber, delineate the contours of the Niche.