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You are right, it is a bit off. If you take a sample of the blocks on the photo, you notice that the width is often more than twice the thickness, but rarely three times. This is why I estimated a range and just took the average at 20 palms. This was just a rough sketch to get going in between book writing breaks. I also took the average of the density for the Middle Eocene at 2.25 tons/m

I just looked again at Kawae's examination of the summit a few minutes ago and it gives us a good sample to make the necessary correction. Up there, the dimensions are 11.7 x 11.9 meters and there are 86 blocks on 201, all backing blocks. The average block surface is thus 1.619 m2 [oh no, I didn't mean to conjure up that number], and the average horizontal block dimension is 1.272 meters [oh no again] or 17 palms which is on the lower end of the 16-24 palm range I estimated.

With that you get 0.6 x 1.272 x 1.272 = ~2.2 m

I am now interested to see how the engineering experts here will model their method proposals to accommodate that weight and the number of blocks predicted to fill the pyramid above the 100th course and if they consider another method for the lowermost pyramid courses. The very first thing to do is to calculate an estimated block number for each course and square it. Take the sum. This should be much less than 110x(110+1)(220+1)/6 = 449,735 blocks, because block number does not linearly increase with course number as you descend from the theoretical peak (=1). My guess is about 300,000.

Edited 1 time(s). Last edit at 07-Apr-20 21:09 by Manu.

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QuoteYou also have the average width and depth at an average of 1.5m, or 4.9ft, which seems a bit off.

You are right, it is a bit off. If you take a sample of the blocks on the photo, you notice that the width is often more than twice the thickness, but rarely three times. This is why I estimated a range and just took the average at 20 palms. This was just a rough sketch to get going in between book writing breaks. I also took the average of the density for the Middle Eocene at 2.25 tons/m

^{3}, but Kawae for example cites 2.6 tons/m

^{3}and his figure may be more correct. Best thing is to check a citation measuring an actual sample of a pyramid block. So that explains the discrepancy. I overestimated the block size and underestimated the density by simple averaging.

I just looked again at Kawae's examination of the summit a few minutes ago and it gives us a good sample to make the necessary correction. Up there, the dimensions are 11.7 x 11.9 meters and there are 86 blocks on 201, all backing blocks. The average block surface is thus 1.619 m2 [oh no, I didn't mean to conjure up that number], and the average horizontal block dimension is 1.272 meters [oh no again] or 17 palms which is on the lower end of the 16-24 palm range I estimated.

With that you get 0.6 x 1.272 x 1.272 = ~2.2 m

^{3}and 2.2 tons per block at an average of 2.25 tons/m

^{3}and using 2.6 tons/m3 you get the commonly cited 2.5 tons. The question is was a different method used to set these blocks in place than the ones in the lower 2/5 since they are much larger. For example, ramp and ramp versus ramp and Method X

I am now interested to see how the engineering experts here will model their method proposals to accommodate that weight and the number of blocks predicted to fill the pyramid above the 100th course and if they consider another method for the lowermost pyramid courses. The very first thing to do is to calculate an estimated block number for each course and square it. Take the sum. This should be much less than 110x(110+1)(220+1)/6 = 449,735 blocks, because block number does not linearly increase with course number as you descend from the theoretical peak (=1). My guess is about 300,000.

Edited 1 time(s). Last edit at 07-Apr-20 21:09 by Manu.

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