cormac mac airt Posted February 19, 2011 #1 Share Posted February 19, 2011 Quite often when discussing the construction of the Great Pyramid the estimated number of 2,500,000 blocks is brought up as the factual quantity used in its construction. Knowing that W. M. Flinders Petrie (who performed the most comprehensive measurements to date), M. Eyth and G. Dormion ALL determined that there was a natural outcrop or massif located within the structure, the following calculations show that there were far fewer than 2.5 million blocks. Even if one were to use the average of the above 6 estimates, at 2,021,511 blocks that is still significantly lower than 2.5 million blocks. And, however marginal a difference, it does not take into account the various assorted chambers and passages. cormac 1 Link to comment Share on other sites More sharing options...
Swede Posted February 20, 2011 #2 Share Posted February 20, 2011 Quite often when discussing the construction of the Great Pyramid the estimated number of 2,500,000 blocks is brought up as the factual quantity used in its construction. Knowing that W. M. Flinders Petrie (who performed the most comprehensive measurements to date), M. Eyth and G. Dormion ALL determined that there was a natural outcrop or massif located within the structure, the following calculations show that there were far fewer than 2.5 million blocks. Even if one were to use the average of the above 6 estimates, at 2,021,511 blocks that is still significantly lower than 2.5 million blocks. And, however marginal a difference, it does not take into account the various assorted chambers and passages. cormac cormac - Nice work. If you remember the Raynaud et. al. paper, they consider the 23% figure to be a minimal value and propose a model for the height of the massif at ~ 20m. Would be interesting to run that figure also. In any case, the calculated differential from the 2.5 million figure is noteworthy. . Link to comment Share on other sites More sharing options...
cormac mac airt Posted February 20, 2011 Author #3 Share Posted February 20, 2011 cormac - Nice work. If you remember the Raynaud et. al. paper, they consider the 23% figure to be a minimal value and propose a model for the height of the massif at ~ 20m. Would be interesting to run that figure also. In any case, the calculated differential from the 2.5 million figure is noteworthy. Thanks Swede. That can be arranged. cormac Link to comment Share on other sites More sharing options...
lilthor Posted February 20, 2011 #4 Share Posted February 20, 2011 (edited) Thanks for the calculations, cormac...I will study them with interest. Since these discussions are ultimately about total work required, how do you calculate the delta thereof when factoring in chambers lined with polished granite stonework? Less...more...no change...not relevant? Also, how does the fitting of the casing stones contribute to the overall scale of the project? Edited February 20, 2011 by lilthor Link to comment Share on other sites More sharing options...
cormac mac airt Posted February 20, 2011 Author #5 Share Posted February 20, 2011 The above modified to include the proposed height for the internal massif of the Great Pyramid. cormac Link to comment Share on other sites More sharing options...
cladking Posted February 20, 2011 #6 Share Posted February 20, 2011 cormac - Nice work. If you remember the Raynaud et. al. paper, they consider the 23% figure to be a minimal value and propose a model for the height of the massif at ~ 20m. Would be interesting to run that figure also. In any case, the calculated differential from the 2.5 million figure is noteworthy. . ROFL Considering the lack of evidence for anything higher than 25' (~7.5 meters) 20 meters becomes quite a stretch. The average known height of this so called massif is about 8' or about about 10% of the lowest estimate here. The fact remains that if there's a hill here that it just means harder work for the builders to lug them up th hill. More importantly though is that no one doubts the ancints' ability to lift stone a little bit. The question whether there are 2,000,000 stones or 3,000,000 stones in this pyramid is how did they get th top ones up there. Lowering the estimate of the number of stones means nothing except to quarrying and no one has yet disputed their ability to even mine 20,000,000 stones. Link to comment Share on other sites More sharing options...
Swede Posted February 20, 2011 #7 Share Posted February 20, 2011 The above modified to include the proposed height for the internal massif of the Great Pyramid. cormac Well done. Factors to ponder. Link to comment Share on other sites More sharing options...
cormac mac airt Posted February 20, 2011 Author #8 Share Posted February 20, 2011 Thanks for the calculations, cormac...I will study them with interest. Since these discussions are ultimately about total work required, how do you calculate the delta thereof when factoring in chambers lined with polished granite stonework? Less...more...no change...not relevant? Also, how does the fitting of the casing stones contribute to the overall scale of the project? I'm not an engineer so can't answer HOW MUCH work was involved. What I am attempting to do here is show that too much given information is being left out of the equation, most likely in an effort by some to make the construction process appear more prohibitive than is otherwise evidenced. I think the whole problem with the granite starts with using the 2.5 million block quantity as if ALL blocks were limestone. Obviously, they're not. And also obviously where granite was in use, it would preclude the usage of limestone (as well as decrease the quantity) of blocks in use. It also entirely disregards the internal massif, which IS there. I've only seen one estimate on dimensions for the casing blocks, given as 5x8x12 meters, with estimates of quantity ranging between 115,000 and 200,000 blocks. Needless to say this far exceeds the volume of the Great Pyramid by a ridiculous margin, so can't be taken seriously. cormac Link to comment Share on other sites More sharing options...
Swede Posted February 20, 2011 #9 Share Posted February 20, 2011 ROFL Considering the lack of evidence for anything higher than 25' (~7.5 meters) 20 meters becomes quite a stretch. The average known height of this so called massif is about 8' or about about 10% of the lowest estimate here. The fact remains that if there's a hill here that it just means harder work for the builders to lug them up th hill. More importantly though is that no one doubts the ancints' ability to lift stone a little bit. The question whether there are 2,000,000 stones or 3,000,000 stones in this pyramid is how did they get th top ones up there. Lowering the estimate of the number of stones means nothing except to quarrying and no one has yet disputed their ability to even mine 20,000,000 stones. Your figures would not appear to reflect current, or even earlier understandings. We have been over this before. See page 19 re: Eyth (12.5 m) and inselburgs. http://docs.google.com/viewer?a=v&q=cache:iZVycF8vmdwJ:hal.archives-ouvertes.fr/docs/00/31/95/86/PDF/PyramidsSR.pdf+Raynaud+geological+pyramids&hl=en&gl=us&pid=bl&srcid=ADGEESgiE7a1HYVEfgBW3TBENd0MTQ382jL3dRhOtDaXvc5WmuJQwr4-N2DlXv3wa1UURDyR-VJJTKRMy9XowIFlfE_eX6sadDOrPiStROJwrWFgGrxgWP5wdOWG8B7HL8TTaHH1kfgL&sig=AHIEtbQV6bbpRXfuGWH8BOJBD8R4QT--UQ . Link to comment Share on other sites More sharing options...
cormac mac airt Posted February 20, 2011 Author #10 Share Posted February 20, 2011 ROFL Considering the lack of evidence for anything higher than 25' (~7.5 meters) 20 meters becomes quite a stretch. The average known height of this so called massif is about 8' or about about 10% of the lowest estimate here. The fact remains that if there's a hill here that it just means harder work for the builders to lug them up th hill. More importantly though is that no one doubts the ancints' ability to lift stone a little bit. The question whether there are 2,000,000 stones or 3,000,000 stones in this pyramid is how did they get th top ones up there. Lowering the estimate of the number of stones means nothing except to quarrying and no one has yet disputed their ability to even mine 20,000,000 stones. This from the guy who has repeatedly and completely dismissed the existance of the massif, on multiple occassions, as well as claimed that there were no fewer than 2.5 million blocks. Both of which are incorrect. cormac Link to comment Share on other sites More sharing options...
cladking Posted February 20, 2011 #11 Share Posted February 20, 2011 This from the guy who has repeatedly and completely dismissed the existance of the massif, on multiple occassions, as well as claimed that there were no fewer than 2.5 million blocks. Both of which are incorrect. I've never said such a thing. I've said that this is a 6 1/2 million ton pyramid and if the average block size calculation is correct then there are about 2 1/2 million stones in it. You can't change the size of th pyramid by changing eit- her the estimate of the number of stones or the estimate of their aver- age size. That's not the way it works. Link to comment Share on other sites More sharing options...
cormac mac airt Posted February 20, 2011 Author #12 Share Posted February 20, 2011 I've never said such a thing. I've said that this is a 6 1/2 million ton pyramid and if the average block size calculation is correct then there are about 2 1/2 million stones in it. You can't change the size of th pyramid by changing eit- her the estimate of the number of stones or the estimate of their aver- age size. That's not the way it works. Yes, you have, and many other wrong things to boot. How did the Egyptians build pyramids? Post #553:It is a known fact that the height of the so called massif was less than 25' near the center and there is no evidence of any sort for anything at all higher than this. It must be capable of lifting enough stones (2.5 million) to build the struc- ture. The GP - A Tomb or Not a Tomb? Post #243I don't know. All I know is what I see….I see a grotto that is a mere 20' higher than the foundation of the pyramid which was the top of any hill that might have been under here. And it’s really irrelevant what you see when there are experts in the field who have concluded THAT YOU ARE WRONG. Pyramids built by aliens Post #1501It weighs 6 1/2 million tons. Not unless you’re including the massif. Post #1506There is little to suggest a massif and there is evidence against it. It's {B(l x w)/ 3 } 2.7 = 6 1/2 million ton. So, any more lies you’d like to tell? Post #1512In other words if there's a massif it is entirely contained within the pyramid AND a point near the center is less than a mere twenty feet high. What’s wrong here, can’t remember which lie you told last? cormac Link to comment Share on other sites More sharing options...
+DieChecker Posted February 20, 2011 #13 Share Posted February 20, 2011 Even if one were to use the average of the above 6 estimates, at 2,021,511 blocks that is still significantly lower than 2.5 million blocks. And, however marginal a difference, it does not take into account the various assorted chambers and passages. Does the size of the pyramid and the size of the blocks include the areas between the blocks? Even if the average space between blocks was 1/2 inch or 1 centimeter, it would average up to quite a lot of blocks over the entire volume of the pyramid. Link to comment Share on other sites More sharing options...
cormac mac airt Posted February 20, 2011 Author #14 Share Posted February 20, 2011 Does the size of the pyramid and the size of the blocks include the areas between the blocks? Even if the average space between blocks was 1/2 inch or 1 centimeter, it would average up to quite a lot of blocks over the entire volume of the pyramid. Hello DieChecker, the previous calculations only correspond to the maximum number of blocks that can be determined based on the available information. And that's the problem I've been trying to get people to realize who attempt to utilize the 2.5 million block estimate as if it were a fact. The exact number of blocks, barring complete dismantling of the GP, can never be known. Nor can the total amount of plugged gaps between blocks, nor the exact configuration of the core assembly. This is the main reason, IMO, that Egyptologists do not attempt to utilize the commonly quoted estimate as anything but an estimate. Unfortunately, there are some here that believe that they are in a position to know more than the experts who've actually been on-site and made the necessary observations or measurements. cormac Link to comment Share on other sites More sharing options...
cladking Posted February 20, 2011 #15 Share Posted February 20, 2011 Hello DieChecker, the previous calculations only correspond to the maximum number of blocks that can be determined based on the available information. And that's the problem I've been trying to get people to realize who attempt to utilize the 2.5 million block estimate as if it were a fact. The exact number of blocks, barring complete dismantling of the GP, can never be known. Nor can the total amount of plugged gaps between blocks, nor the exact configuration of the core assembly. This is the main reason, IMO, that Egyptologists do not attempt to utilize the commonly quoted estimate as anything but an estimate. Unfortunately, there are some here that believe that they are in a position to know more than the experts who've actually been on-site and made the necessary observations or measurements. This is a pyramid; http://0.tqn.com/d/archaeology/1/0/t/f/great_pyramid.jpg It is not only a great pyramid but The Great Pyramid. No one can see a mountain in it and no one can see air holes in it. We know where much of the bottom is and there's no evidence of any mountain under it. As you can see it appears to be made out of stone. An object of an object this size is easily computed to be about 6 1/2 million tons. Thi is a computed weight and the fact that there is no scale big enough to weigh it doesn't make it any lighter. Look at the picture again. Does it really matter if there are 2,000,000 3 1/4 ton stones or three million 2 1/6 ton stones. It's still a 6 1/2 million ton pile of stones no matter how you shake a pencil at it. It's still 480' tall. It still required a lot of lifting of stone. Why suppose there are large holes and the like in it when it's a known fact that the outside is nearly the same density as limestone. If they were going to leave voids they would be concentrated on the outside where they wouldn't weaken the structure and would reduce the weight on the interior. Mountains and voids don't make sense, are unevidenced, and as far as lifting is con- cerned are mostly irrelevent. Why keep on with supposition to make this appear small- er than it is. Again I refer you to the picture. I'd also refer you to the various imaging thaty has been done inside the pyramids and have turned up no voids of note other than an anomaly paralleling the horizontal passage. The passages and chambers are insignificant in volume and required vastly more effort to build than not to have built because thy are water tight and composed of heavier and harder to work granite rather than the soft limestone. These are the simple facts. No calculations can change them. Of course all the numbers are estimates. This is the real world not a drawing board where this or that can be eraswed and redone. It's complete and it's made out of stone; about 2 1/2 million 2 1/2 ton ones. Have you never noticed that 2 1/2 times 2 1/2 doesn't equal 6 1/2. This 4% error helps to show that these are estimates. I don't believe the total is off more than slightly but the other two might be. 1 Link to comment Share on other sites More sharing options...
cormac mac airt Posted February 20, 2011 Author #16 Share Posted February 20, 2011 Oh boy, more 'crap in-crap out'. What you consider to be the facts is irrelevant to what is actually known about the Great Pyramid and the plateau it was constructed on. But then, we all already knew that. Thanks for once again confirming that for us, though. cormac Link to comment Share on other sites More sharing options...
booNyzarC Posted February 20, 2011 #17 Share Posted February 20, 2011 Impressive cormac. I tip my hat to you my friend. Excellent work! Link to comment Share on other sites More sharing options...
cormac mac airt Posted February 20, 2011 Author #18 Share Posted February 20, 2011 Thanks booNy, much appreciated. cormac Link to comment Share on other sites More sharing options...
Leonardo Posted February 20, 2011 #19 Share Posted February 20, 2011 Nice analysis, cormac. It makes engineering sense that the GP would have been built on a site surrounding a (relatively) small massif, as not only would that have meant less actual block-work needed for the construction, but also the height of the massif could be utilised by placing wooden 'cranes' (essentially fulcrum levers) atop it, allowing for a considerably easier construction of the pyramid up to a greater height than if the GP was built on flat ground. Thus, the 'ramp' phase of construction would entail only the higher courses, where less stonework was required, naturally. Link to comment Share on other sites More sharing options...
museatlantis Posted February 20, 2011 #20 Share Posted February 20, 2011 Two million stones, five million stones does it really matter its an incredible piece of architecture and we still don't know how they managed to build it so perfectly Link to comment Share on other sites More sharing options...
ShadowSot Posted February 20, 2011 #21 Share Posted February 20, 2011 Two million stones, five million stones does it really matter its an incredible piece of architecture and we still don't know how they managed to build it so perfectly It depends on how loosely you use the term "perfectly." Link to comment Share on other sites More sharing options...
cladking Posted February 20, 2011 #22 Share Posted February 20, 2011 It depends on how loosely you use the term "perfectly." It is in ruins. http://www.catchpenny.org/concave.html Yet is so perfectly constructed we didn't even know that it was an 8-sided structure until we could fly. Before it was in ruins it was even more perfect since it there were any flaws in is shape they could be corrected in installing the cladding. I visitor might see only perfectly smooth white structure and water tight granite interiors. The cladding was so perfect that Herodotus couldn't find seams closer than 20' apart even 2200 years after it was built. It is oriented perfectly N/ S and even the tunneling underneath is perfect. Small gaps and tiny imperfections are about equivalent to having a few egg shells left over after you make an omelette; irrelevent. We saw what happened the last time detractors tried to do better; they needed modern machinery and still made an eyesore that wasn't worthy of even blocking the shadow of the real thing. Link to comment Share on other sites More sharing options...
SHaYap Posted February 20, 2011 #23 Share Posted February 20, 2011 (edited) *moved* Edited February 20, 2011 by third_eye Link to comment Share on other sites More sharing options...
ShadowSot Posted February 20, 2011 #24 Share Posted February 20, 2011 The quarry for the pyramid itself was right there at the site, the only imports were the Tura cladding and the Granite. Link to comment Share on other sites More sharing options...
SHaYap Posted February 20, 2011 #25 Share Posted February 20, 2011 (edited) The quarry for the pyramid itself was right there at the site, the only imports were the Tura cladding and the Granite. okay ... thanks should that post be here or at the "how they built ... " think ? rather than edit maybe it should be move @cormac duly noted *edit* decided to move Edited February 20, 2011 by third_eye Link to comment Share on other sites More sharing options...
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