Here is a better drawing of the root 3 relation -
- starting from a square of side 181 a root 2 construction defines the Bent lower slope (black). Continuing the geometry to root 3 gives the base of the Red (blue).
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robin cook
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Ancient Egypt
Thank you Leon and Waggy. It would seem the problem is poor survey data and the 'elasticity' of the cubit. Nobody knows how it was originally defined but most authorites give average values around 0.523 to 0.525 m. But at different sites it could vary more widely - Waggy shows that the Red pyramid chamber complex was laid out using 0.522, while Khufu chamber and passage system requires
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robin cook
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Ancient Egypt
Hello Waggy,
While you are here could I ask you to expand on the quote from Petrie (in your paper on the Bent Pyramid) -
“The Level which was intended as the apparent base, or pavement level, is
fully fixed by the fine white mortared pavement which was found outside the
place of the stone paving, at E.S.E and S.S.W., as well as by the pavement
found in situ at the N.N.E., E.N.E., and N.W
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robin cook
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Ancient Egypt
Miatello presents some examples of recurrent numerical patterns in the iconography and funerary architecture of Egypt in these two papers -
-
content/miatello_l_the_design_of_the_snefru_pyramids_at_dahshur_and_the_netjerikhet_pyramid_at_saqqara_palarchs_journal_of_archaeology_of_egypt_egyptology_1_1_2005.pdf
The terms involved factorise to simple prime numbers, prominently 7. The 14/
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robin cook
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Ancient Egypt
Hi Mark
You write - "It seems likely that the pi approximation of 22/7 was regarded as exact".
The 14/11 ratio appears in other pyramids - in the proportions of the Red pyramid chamber complex and it was used at Meidum - a 5/8 model of Khufu. The dimensions of Khufu are usually taken as 280/220. Gantenbrink's shaft analysis confirmed that the 14/11 ratio was used in a very e
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robin cook
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Ancient Egypt
Hi Mark
I have an open mind on your various proposals. Of the correctness of your calculations I do not doubt but find it difficult to understand how some of your findings link in to the broader picture (whatever we might agree that is) or might arise from building error (as, say, concerning Khufu's coffer).
You may agree that the greatest enigma in the pyramid is the Grand Gallery an
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robin cook
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Ancient Egypt
L Cooper Wrote:
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> Robin – Thank you for your response, and for your
> suggested redrawing of my descending passage line.
I don't agree that I have simply 'redrawn' your descending passage line. My approach is very different to yours, and the apparent similarity between our two schemes arises because they each use a
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robin cook
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Ancient Egypt
Hi Tim,
Regarding your calculations, I am impressed by the precision with which the architect adjusted the slopes of the upper passages - to give whole-numbers of cubits along the slope.
Noting that the KC complex floor levels (from the Great Step to the sarcophagus chamber) are somewhat uneven, what reason could there be for this? Petrie's negative comment about the quality of work in
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robin cook
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Ancient Egypt
Harry Rogers Wrote:
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> The floor of the King's Chamber was deliberately
> structured unevenly – how does your insistence on
> 'geometry über alles' explain that?
Could you please explain here, hopefully without referring to page numbers in your book, the reason for your declaration that the floor was 'delib
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robin cook
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Ancient Egypt
You may find the use of geometry to design religious monuments 'snake-oily' but many cultures worldwide used it quite happily. You imply that the AE were masters of geodesy (!) and created monuments that "formed the geometry inherent". Really? The major positions inside Khufu do appear to be generated by simple geometry. How does your 'geodetic' approach explain the
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robin cook
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Ancient Egypt
Hans Wrote:
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> Abu Roash in his
> mind was not a pyramid and therefore wasn't part
> of the AE calculations.....
Of course Djedefre was a pyramid. Every stick has two ends and it makes it very difficult when an author gives readers the 'bad' end - I mean not explaining a proposition clearly or being capable of f
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robin cook
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Ancient Egypt
>TTBOMK the interiors of all pyramids have been mapped, especially the Gizamids. Do they fit your theory?
Well I'm afraid they have not all been mapped very well and you will likely have come across threads on this forum discussing this - for instance no-one is absolultely certain of slopes at Dashur. At Giza we are on firmer ground (although there remain small uncertainties regarding
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robin cook
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Ancient Egypt
L Cooper Wrote:
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> You next state that my “analysis of Khufu is
> actually based on Phi”. - Again, I disagree.
> The Phi relationship shows up in these derivations
> simply and only because it will almost always show
> up in any diagrammatic exercise that produces a
> “squaring” of the circle...Your statement ca
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robin cook
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Ancient Egypt
Thanks. Forgive me but I can't find anything called 'book tag' on the Academia site. What do I look for?
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robin cook
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Ancient Egypt
Ah, so you managed to download the whole thing - may I ask how you did this? (surely you didn't give Academia all your contacts did you?)
Anyway, as somebody who has read the whole work, what is your appraisal?
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robin cook
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Ancient Egypt
Forgive me for being a bit thick in this department but, when confronted with the message requiring contact information, how did you eventually manage to download the paper? It is difficult properly to assess Harry Roger's proposition without having first read it, and his responses to me have consisted of short quotes from what seems a rather formidabe work.
Comments here reveal that Harr
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robin cook
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Ancient Egypt
Hello Tim
Yes, whereas Legon quotes measurements to a number of decimal points in his analyses he is also capable of making statements like this - "Sloping length of Ascending Passage, 1546.8 ins = 75.01 cubits. Now subtracting this length from the sloping distance of 157 1/7 cubits, we obtain a remainder of 82 1/7 cubits, which is practically the module of 82 cubits as defined by the lev
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robin cook
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Ancient Egypt
L Cooper Wrote:
-------------------------------------------------------
> I have no idea whether or not a 'geometry' was
> used in the laying out of the monuments on the
> Giza Plateau, but it should be more than
> self-evident that a form of 'geometry' was used in
> the designs of the Giza and Dahshur pyramids. It
> seems to me that the only reason on
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robin cook
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Ancient Egypt
Many forum members have dismissed geometry as a relatively unimportant factor in understanding pyramids, even if they consider it all. But Khufu is not only the most finely built pyramid but also best surveyed, and the obvious candidate to test the proposition that geometry was in fact the basis of pyramid design.
The meridian triangle of Khufu is built on the ratio 14/11. The height of 280 cu
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robin cook
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Ancient Egypt
Harry Rogers Wrote:
-------------------------------------------------------
> Nobody is dismissing the employ of geometry; I
> gave you examples and there are more instances of
> how the architects of Giza expressed that
> knowledge in the design.
You didn't offer much did you? - something about the height of the QC niche compared to the height of Khufu. You also appear t
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robin cook
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Ancient Egypt
Harry Rogers Wrote:
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> The layout of the structures is not based on
> geometry. See "Measure Motion & Maat" pgs.
> 225, 281.
I have not managed to download your apparently voluminous paper - I am not on Facebook or Twitter, and Google+ wants me to give Academia all my contacts, which I am not inclined to do. The
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robin cook
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Ancient Egypt
A week ago I asked - "Concerning layout and architectural design you are surely aware of accompanying threads discussing this? If the layout was planned using geometry how can it be reconciled with your scheme?"
I found your answer evasive. You wrote - "There is some geometry there, though, the structures are primarily geodetic and temporal in nature."
No, 'some geo
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robin cook
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Ancient Egypt
Harry Rogers Wrote:
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> Pharaonic tomb theories
> are indeed naïve since they do not provide any
> answers for the layout, architecture, chronology
> or the interior designs of the structures.
Au contraire Harry. Giza is a cemetery and tombs were looted long ago. Pyramids may be mute but mastabas are not. Concerning layout
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robin cook
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Ancient Egypt
Hi Leon
You write that my approach "is simply a process of devised concurrence - a case of adjusting one’s numbers until they match up with an already known quantity." Guilty as charged.
But your aim is different - to come up with a common mathematical blueprint for all pyramids, and one which can predict "the location of something that has not yet been discovered, or to pred
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robin cook
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Ancient Egypt
Byrd wrote -
======================================
>The huge problem with this is that it only considers the large pyramids.
>The whole plateau had a much more complex situation, with adjacent tombs, walls, temples, and >other features. They must have been part of the overall design because evidence indicates >that they were built around the same time.
Of course all the other f
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robin cook
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Ancient Egypt
All over the world disparate cultures, often independently, used geometry and astronomy to design religious structures. The particular approach could vary widely - the Mesoamerican, with greater emphasis on astronomical horizon alignments, differed from that passing through Egypt and Mesopotamia to the great cathedrals of the middle ages. But this geometry is in most cases quite simple and amenab
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robin cook
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Ancient Egypt
Before responding can I confirm that you are the author of this site ? -
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robin cook
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Ancient Egypt
Actually Lehner referred to his book as a monograph (the PDF link I sent you). The 100 cubit length is illustrated on page 45. This dimension is well known but nobody has much more to say about it. What is important is the root 2 proportion and dissection as presented by Legon -
Egyptian numbers are based on multiples of 10. The Giza layout is built on a decimal module (1. 10. 1000) whethe
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robin cook
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Ancient Egypt
Lehner describes this in a monograph on Hetepheres. Unfortunately someone 'borrowed' my copy many years ago but happily I found it as a PDF here -
In return could you tell me if the paper you cite is available on the web? Or if not summarise the gist?
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robin cook
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Ancient Egypt
Thank you Spiros for being the first to ask this obvious question. If we were to take Petrie's figure for Menkaure granite course height it would indeed damage the chamber correlation proposition, or at least make it too approximate as any kind of persuasive argument. However Butler reasons convincingly that Petrie was wrong in his estimation. This is described on my website -
As to t
by
robin cook
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Ancient Egypt