Grand Gallery Model
The Grand Gallery is aptly named because after
walking bent over thru hundreds of feet of rectangular access passages, it
opens into something far beyond just a comfortable place to stand upright
inside. Many have marveled at its construction
and several people including Piazzi Smyth and Sir Charles Petrie spent many
weeks surveying and measuring the inside surfaces.
It would have been very easy to stick a straight
edge under the overlapping stone and get the measurement of the overlap length. On the ends north and south these
measurements vary quite a bit as reported in Petrie’s entrees. Piazzi Smyth measured the widths and Petrie
did not apparently repeat them beyond what he needed to verify the accuracy of
the earlier measurements by Smyth. Therefore something most peculiar escaped
the notice, apparently, of all who examined the resulting documents.
One can see in the column E that the differences
from one level to the next is always a constant 5.8 inches (given in Pyramid inches
in some texts but varies from the British inch by only 1/100th
inch). In using the measurements in a
ratio, the actual units of measure drop out and the ratio becomes
dimensionless. If the various levels
were not exactly centered above one another, then the overlaps might vary a
great deal but not impact this particular relationship. One can clearly envision planting the large
stones with spacers between them such that the width was absolutely fixed to
great precision but having nothing to do with the lap. This would indicate the
distance between walls was much more important than the overlaps and that
suggests waves bouncing side to side.
In the spreadsheet graphic above one can see that
the number 2.1091448 is available from two sources in the data and there are
probably more. Note the difference
between D13 and E13 divided by two is the square root of 50,000. These are
probably all hints as to how the Grand Gallery works.
The average of the 2.1091448 with the 2.10914298
that uses only the 5.8 number along with the hydrogen neutral frequency is very
close to the current Planck / pi number of 2.109143893. Of course, the number unrelated to Planck and
used in most of the blogs is 2.109143364. This is developed from the formula
below. The derivation is covered in detail in another blog model.
(7200/a^(4))^(1/9)= 2.109143364 where
a=1.718281828459
Using this as a “learning event”, one might examine the other Petrie measurements on the north and south end laps. Why would Petrie, a self proclaimed “measuring expert”, list some measurements to the nearest 100th of an inch. They occur on the second, third and fourth level up from the floor on the south end. He is measuring from the string of the plumb line to the south face at the top and bottom of each section. On the second up from the bottom, he gives 18.10 inches over to the wall just below the next lap. He then gives 18.55 for the same surface at the bottom just above the lap below. At the third level just above the respective measurements from the plumb line are 15.08 and 15.18, followed by 12.08 and 12.18 on the fourth level. These are not typical fractions such as 1/64th of an inch or multiples thereof. Petrie had to believe these were just that precise or he would have rounded them off.
The methodology of Petrie was to hang two plumb
lines from the top of the gallery which on the south is only 41.4 inches wide.
On the lower level the Grand Gallery is 82 inches wide. This means his
measurements were more heavily concentrated to the center than the sides. He
could have placed a straight edge along the plumbs and then taken more
measurements across a bigger percent of the lower lengths. But he did not appear to do that. However, when he measured the overall length
on top of the ramps, he got 1883.6 inches which is shorter than the more
central lengths by about 0.8 inch.
On the south end there is one location where he
had three measurements where elsewhere there were only two (top & base). Each of the two said measurements was
corresponding to the top or the base. The approach taken here is that there was
more fluctuation at the lower end than normal and the bottom two numbers were
taken as an average.(21.7 + 21.25) = 21.475)
It seems as convinced as Petrie was that he was an excellent measurer, he would not record a single number unless it was consistently reproduced at multiple locations. In the King’s Chamber he repeated measurements up to 50 times. This single observation should indicate there is far more preciseness in the Great Pyramid than can be appreciated from just a glance at the Petrie numbers.
In order to import the spreadsheet into Word and
have it large enough print to read, it was broken into two parts. One can copy
the top half and paste it in their spreadsheet and then copy the bottom and
place it beside the top half.
The Petrie End Measurements are used to calculate
the actual length from corresponding height locations on the north and south
ends. Petrie measured the top at 1838.6 and the model uses 1838.683368
developed elsewhere on numerous occasions. It is from these four corners that
the plumb lines were hung. At the various heights working off a ladder, he
measured the horizontal distance from the line to the wall. He reported for a
given surface the number for the top of the face and one for the bottom which
he called the base. These numbers clearly show that the opposing faces from
north down to the south have a definite angular opening that reflect the idea
of some type of reflected waves being controlled by the design.
The calculated lengths start from the top at
1838.683369 and progress down to the bottom using the Petrie End measurements
and the cosine of angle 26.26285093 to get the overall length at each height.
This assumption develops a number that is the average length at a given zone in
the Grand Gallery.
|
Smyth
|
Smyth
|
calculated
|
calculated
|
calculated
|
|
|
widths
|
differences
|
areas
|
lengths of axis
|
volumes
|
|
|
41.4
|
5.8
|
1399.633196
|
1838.683369
|
2573482.28
|
|
|
47.2
|
5.8
|
6.534537301
|
1595.717074
|
1845.217906
|
2944445.718
|
|
53
|
5.8
|
6.735256877
|
1791.800952
|
1851.953163
|
3318331.44
|
|
58.8
|
5.8
|
6.579141651
|
1987.88483
|
1858.532304
|
3694548.173
|
|
64.6
|
5.8
|
7.058638415
|
2183.968707
|
1865.590943
|
4074392.24
|
|
70.4
|
5.8
|
6.746407964
|
2380.052585
|
1872.337351
|
4456261.352
|
|
76.2
|
5.8
|
8.636517303
|
2576.136463
|
1880.973868
|
4845645.367
|
|
82
|
5.8
|
3.305461125
|
5544.440682
|
1884.279329
|
10447274.97
|
|
576.4
|
|
45.59596064
|
19459.63449
|
14897.56823
|
36354381.54
|
|
(a*1000/576.4)^(1/6)/0.8
|
(hf^(1/2)/8*100000 )--->
|
14897.59708
|
31557.62286
|
||
|
1.499587289
|
2.997930697
|
1.215670925
|
14204002511
|
365.250265
|
|
|
1.499492218
|
Jupiter
|
2.99792458
|
1.215670869
|
142,040,575.20
|
365.25
|
|
height perpendicular to
|
|||||
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axis to get volumes
|
|||||
|
yields ave angle of
|
|||||
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acos below to get angle
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incline in Ggallery
|
||||
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(18.38683364^(2)/pi/120)
|
26.26285095
|
||||
|
Petrie end data
|
Sum Petrie
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|||
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top-N
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base- N
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top south
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base -S
|
End Offsets
|
|
0.000
|
0.000
|
0.000
|
0.00
|
|
|
3.000
|
3.000
|
2.900
|
2.82
|
11.72
|
|
6.200
|
6.000
|
5.800
|
5.80
|
23.8
|
|
9.100
|
8.500
|
9.000
|
9.00
|
35.6
|
|
11.900
|
12.100
|
12.080
|
12.18
|
48.26
|
|
15.100
|
15.000
|
15.080
|
15.18
|
60.36
|
|
19.700
|
19.500
|
18.100
|
18.55
|
75.85
|
|
19.600
|
19.200
|
21.500
|
21.48
|
81.7785
|
|
84.600
|
83.300
|
84.460
|
85.01
|
337.3685
|
|
<--- (36354386/9/128)
|
||||
|
366.2405155
|
2.109116518
|
|||
|
[366.2422]
|
[2.10914336]
|
|||
Petrie indicates he thought the average angle of incline
was 26 d 16m and 40s. However, he also lists quite a few areas of deviation.
This would be 26.2777777 in degrees. In developing the model, it was discovered
that the north and south faces were perpendicular to the axis if bent out and
in at an angle of arccosine (18.38683369^(2)/pi/120) = 26.26285095. The use of the 1838.683369 repeats the use in the length of the ceiling and all
subsequent lengths. This also is the neutron/electron mass ratio to seven
digits.
Reading across the checksums in light green, there
is the speed of light, basic hydrogen Lyman Series wavelength and most abundant
ones (1.215668+1.215674 averaged to 1.215671) , hydrogen neutral frequency, base
year 365.25, tropical year 366.242 and finally the repeat of the Planck /
pi-like number. The Petrie number for the bottom base is highlighted in yellow
and as mentioned is probably the number Petrie had the most doubts about. For
that zone he gives three numbers and only two elsewhere. For the model, two
numbers were averaged at 21.48 shown in yellow.
If the Grand Gallery was designed to echo sound or
electromagnetic waves in a controlled fashion, then it makes sense that the
initiating bottom surfaces might be slightly curved. The subject of
sonoluminescence has recently taken on increased interest from cold fusion to
propulsion systems for advanced aircraft. It has been researched in
laboratories in flasks where cavitation is used to induce it.
Piazzi Smyth measured the widths and the model
above resulted in highly precise numbers that could be used for widths in a
model. This then only leaves the heights
as an issue to be resolved.
Unfortunately, neither source seems to have nailed down the individual
heights of the laps although they both give the total height. Even though the roof has staggered stones at
an obvious different angle than the overall gallery, both Smyth and Petrie give
339.3 inches as a number that is often repeated. Smyth was arguing the importance of the seven
upper laps in order to tie his theory of connectivity to seven days in a week.
My observation of photos and drawings suggested
that the bottom level might be twice that of the average seven above, making a
total of 9 equal units. If one takes 339.3 and divides by 9 and then checks to
see how many feet that would be, you come up clearly with 3.1416+ feet. This is close enough to suggest one should at
least “take a trial run at using pi feet” as the basic unit height whether or
not the laps all measure that or not. It no longer is of interest as to whether
a few measurements are not consistent.
In modeling, one is concerned with the overall system approach with the
hope that the overwhelming amount of data will match up well. It is like fitting an equation to data. A few pieces of data are expected to be
outside the equation.
The sketch below is from a computer model using
CAD and Mathcad resources. It is split to show the primary interest in the
north and south faces and the level of precision utilized. The lengths cannot
be measured because they are embedded in the stone on the north end.
The volume calculations are the only ones using the heights. The sum 36354381.54 is followed below with (hf^(1/2) / 8 * 100000 = 14897.59708. Working backwards, the volume sum produces 14204002511 versus the hydrogen frequency of 142,040,575.2 cps. If the design intended this checksum, it was far more precise than we can measure today.
The overwhelming redundancy of checks using summations clearly indicates a precision in the Grand Gallery far in excess of what could be done today even using computerized grinding equipment. Remember, this not only requires precise planning and design, but execution would be mindboggling. The south end of the Grand Gallery may have been built years or decades before the north end. How would one correct any errors? The message of the Grand Gallery is “we are not only not alone, we have never been”.
Below are ends of the Grand Gallery which certainly are abundant with precision.
Grand Gallery Model Dwg
Copyright
2017 All Rights Reserved
J D.
Branson
Knowhow at
ctcweb dot net
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