Hi Jon,
One way is to use the Google Earth measurement tool. Once you click on the measurement option, you put the cursor on the first point and click (presumably the apex or some point in or around the GP). Then you will get a line when you move the cursor away from the first point, to whatever point you move the cursor to. At the bottom of the screen you will get a readout on how far away
by
Jim Alison
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Ancient Egypt
In Gantenbrink's Ordo Et Mensura article in the "publications" section of his website, he argues persuasively that the heights of the ceilings, rather than the floors, of the inclined and horizontal passages, as well as the ceilings of the horizontal and inclined sections of the shafts, were the primary construction quantities in the great pyramid. He points out that the floors of
by
Jim Alison
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Alternative Geometry and Numerology
Hi Wayne,
I have been reviewing your post for the last few days. It seems to me that the biggest difference between Petrie and Gantenbrink is the distance from the points the shafts exit the present face and the points they exit the now missing casing. I read Petrie's analysis concluding that the average distance from the top of the casing block to the top of the outside core block is 7
by
Jim Alison
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Ancient Egypt
Hi all,
I was looking at Gantenbrink's webpage titled "the findings", where he gives "the shaft outlets on the present pyramid face (excluding the missing casing)" as follows:
"Height above the original base paving of the pyramid.
Kings Chamber Southern Shaft 77.55 m
Kings Chamber Northern Shaft 78.43 m"
On the other hand, Petrie shows
by
Jim Alison
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Ancient Egypt
Hi Graham,
"When it comes to diameters, perimeters and volumes the suggestive 256/81 is all we have to fall back on. There is no textual evidence for anything else including 22/7."
In pRhind #38 the volume ratio is 22/7. This problem is discussed in Gillings and was discussed a few months ago here:
by
Jim Alison
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Alternative Geometry and Numerology
Hi John,
Thanks for the input. Another close approximation to the 560 cubit module is the EW distance from the west side of G3 to the midpoint of G2 of approximately 559 cubits. Given the approximation, the EW distance from west G3 to mid G2 would be two of the three 280 cubit modules from the 840 cubit Ns distance that you mention from the north side of G3 to the north side of G2.
by
Jim Alison
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Alternative Geometry and Numerology
Hi Graham,
11 inches over a 31000 inch distance is not bad. Also, as John Legon mentioned, the misalignment of the azimuth of G3 corrects the 11 inch discrepancy if you use the NE corner of G3 for the NS distance from the NE corner of G1.
by
Jim Alison
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Alternative Geometry and Numerology
Hi John,
Another interesting result regarding the distance from the south side of G3 to the south side of G1 was pointed out by Clive a while back. The distance is 1292 cubits (1732 minus 440). This is the same as the distance from the SW corner of G3 to the NE corner of G2. This equality and the one discussed above are combined in the diagram below:
Incidentally, the rectangle in the
by
Jim Alison
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Alternative Geometry and Numerology
Hi Graham,
Petrie gives the azimuth of the west wall of the workmans barracks (the one that is in close alignment with the west side of G3) as plus 9 minutes east of due north. So yes, this is close to the same azimuth as G3 while it is at variance, or in error in relation to the minus azimuths of G1 and G2.
I agree that the NE corner of G1 and the SW corner of G3 form a 11/9 rectangle as
by
Jim Alison
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Alternative Geometry and Numerology
Hi John,
Regarding the 1530 cubit distance you give for the northside of G1 to the north side of G3 as an example of 97/56 at Giza, it has been suggested that the diagonal length from the NE corner of G1 to the SW corner of G2 is equal to the NS distance from north G1 to north G3. Is this additional evidence of the 97/56 ratio at Giza?
by
Jim Alison
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Alternative Geometry and Numerology
Hi Graham,
I agree that a 3.5 cubit discrepancy is not the norm we expect at Giza. However, given the azimuths of the casing, cores and passages of the first two pyramids, all in the range of minus 4 to minus 5 minutes west of due north, the azimuth of plus 13 to plus 15 minutes east of due north for G3 is also not the norm we would like to expect. This is an error of almost 20 minutes of ar
by
Jim Alison
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Alternative Geometry and Numerology
Hi Graham,
Of course a 45 degree diagonal on an EW sitelength of 1414.2 is going to be 2000 cubits. However, I am not satisfied that a 45 degree diagonal from the East midpoint of G1 crosses over the West Midpoint of G3. Michael Saunders and I spent some time trying to reconcile the three relationships shown in the diagram below
The NS length is sq rt 3 x 1000 and the EW length is sq
by
Jim Alison
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Alternative Geometry and Numerology
Hi Graham,
The offset of the axis of the first and second pyramid is almost identical at 3-6 minutes west of north. The effect of this difference on the siteplan length is negligible. The axis of the third pyramid is around 12 minutes east of north. This would have an effect on the dimensions of the siteplan, but the effect would depend on how the site of the third pyramid was surveyed, in
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Jim Alison
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Alternative Geometry and Numerology
Hi Clive,
Yes your slideshow is the idea I am talking about the height plus baselengths being equal to the site length. I think 440 plus 280 for G1; 411 plus 274 for G2; and 201.5 plus 125.5 for G3 giving 1732 for the site length equality is actually a good bit closer to Petrie's survey results. I know there are other considerations that lead to your suggested 412 baselength for G2 and
by
Jim Alison
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Alternative Geometry and Numerology
It has been suggested that the north-south length of the site of the Giza pyramids, from the north side of Khufu to the south side of Menkaure, is 1732 cubits, representing the square root of three times 1000 cubits.
A more exact measure of the square root of three is 1.73205080
It has also been suggested that the baselength of the three pyramids, plus the height of the three pyramids, is e
by
Jim Alison
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Alternative Geometry and Numerology
I think the explanation for the odd numbered side length of 362 cubits is that the intended sidelength is 361.8 cubits or a 100x multiple of 3.618. This is phi squared plus one or phi plus two. The half base (180.9) is a 100x multiple of phi/2 plus 1. I posted a webpage a few months ago explaining all of the dimsensions of the bent as functions of phi:
by
Jim Alison
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Ancient Egypt
3-4-5
5-12-13
7-24-25
9-40-41
11-60-61
13-84-85
15-112-113
17-144-145
etc.
The short side increases by 2 in each progression. The long side and the hypotenuse also increase by a fixed measure: The difference between the two preceding sides, plus 4.
ie:
difference betwen 0 and 4 is 4. 4 plus 4 = 8. 4 plus 8 = 12
difference between 4 and 12 is 8. 8 plus 4 = 12.
by
Jim Alison
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Alternative Geometry and Numerology
Graham,
I agree the 2/1 rectangle is a simple starting point. Here is a diagram I posted a couple of months ago showing the double square formed by the 2/1 slope of the ceiling of the entrance passage:
According to Petrie, The ceiling of the entrance passage intersects the outer casing of the pyramid 705.97 inches above ground level and the ceiling of the entrance passage ends 1142.8 i
by
Jim Alison
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Ancient Egypt
Surviving texts and architecture from ancient Greece both show the philosophical and cultural significance they attached to the golden mean. In Timaeus, Plato tells a story that he says was given to Solon by the ancient Egyptians. It begins with the creation of the world and ends with the destruction of Atlantis. The philosophical and cultural significance of the golden mean is mentioned throu
by
Jim Alison
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Ancient Egypt
Ron Birdsall caught this typo and corrected it with an explanation here:
<;
Click on the red highlighted number and it will open a webpage that explains the error and the correction. Birdsall is right for sure. All of the above calculations confirm his correction.
by
Jim Alison
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Ancient Egypt
PPS:
Here is a diagram that somewhat illustrates the calculations above
Note that the extension also marks the southern edge of the ceiling of the KC. If the ceiling of the KC is 82 cubits plus 11.18 cubits above ground level, and if the floor of the grand gallery crosses the midline of the pyramid 1.618 cubits below the 82 cubit height of the floor of the KC, and if the southern wall
by
Jim Alison
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Ancient Egypt
Greetings and best holiday wishes for all,
If the floor of the ascending passage/grand gallery is extended at the same angle to the southern face of the pyramid, the ratio between the length of the ascending passage/grand gallery floor and the length of the extension, is the same as the ratio between the height and the half base of the pyramid. Proof as follows:
Petrie gives the position
by
Jim Alison
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Ancient Egypt
Hi Jon,
There are a couple of threads on the GHMB from 2001 with posts from Ercivan. His email has been deleted from GHMB but one of the posts by Mercury Rapids on this thread copied what looks like an email address for Ercivan, although that was six years ago:
<;
Here is the other GHMB thread with discussion from and about Ercivan:
<;
On the GHMB Ercivan posted in German
by
Jim Alison
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Paper Lens
"Scarabs and Cylinders with Names" WMF Petrie (1915) catalogues a number of engraved scarabs and cylinder seals recovered by Petrie as well as illustrations and drawings of a number of early scarabs and cylinder seals from other collections. The illustrations in the book generally go from earlier to later, beginning in pre-dynastic times. Petrie gives "SEN NE ONE BA", transl
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Jim Alison
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Ancient Egypt
I agree that the idea of a platform at the top of the pyramid is speculative, although the idea that the pyramid was ever completed to a point is also speculative. I think this diagram of yours that shows a platform at the top of the pyramid is a good illustration of what we know for sure about the courses of the pyramid:
"Goyon who counts 201 layers left now (as do other writers) do
by
Jim Alison
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Ancient Egypt
According to Petrie's survey, the end of the great pyramid entrance passage is 286 inches east of the east-west midline of the pyramid. Petrie also gives 286 inches north of the north-south midline for the end of the sloping roof of the entrance passage and the beginning of the horizontal subterranean passage. Thus, the end of the sloping entrance passage is equally distant to the north an
by
Jim Alison
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Ancient Egypt
Here is an explanation of Seshat's names and titles, including Sefkhet-Abwy:
The supposed bow or inverted horns above the seven pointed symbol looks to me like the sun disk symbol with a nipple in the middle, from a side on perspective. If so, then maybe the seven pointed symbol is occulted by the sun disk in it's normal front on presentation.
In the pyramid texts Seshat appe
by
Jim Alison
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Ancient Egypt
In the last sentence of section 32, Petrie gives the height of 705.97 inches above ground level for the ceiling of the descending passage at the intersection of the passage with the outer casing of the pyramid, and explains his basis for saying that this is an exact measurement:
<;
705.97 inches divided by 20.632 equals 34.217 cubits.
Petrie gives the specific length of the roof of th
by
Jim Alison
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Ancient Egypt
Several of the posts on this thread have expressed the opinion that there is no evidence of any basis other than sekeds in the dimensions of the pyramids. I believe that the presence of the golden section in many of the dimensions of the great pyramid is evidence of the intentional incorporation of phi as a basis for the dimensions of the pyramids.
I believe the presence of the phi proportion
by
Jim Alison
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Ancient Egypt
AS: "We are not talking about academic endeavors here to teach the calculation of the Sqd... but rather the transfer of the Sqd to the construction site. The Sqd was not calculated on site... it was delivered to the site as part of the implementation of the plan. You are one step back from where I am talking, that's all."
The dimensions of the pyramid were determined and then t
by
Jim Alison
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Ancient Egypt