February 27, 2020 05:17AM
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Registered: 12 years ago
Posts: 342
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After looking at Dorner's diagrams it does appear that his figure of 362 is the base at the line of the pavement top.
It must be said that Legon's design for the Bent Pyramid is geometrically satisfying. It is shown to the right on the diagram below -
- the lower sloping length is equal to the vertical height of the upper part, and the dimensions are in whole numbers.
However, if it is proposed that Bent and Red have the same height of 200 cubits and can be superimposed upon one another, meeting at the bend, A, then the base of the Red would need to be to be around 214.66 , B, which is certainly not the case.
On the left side of the diagram the Red pyramid profile is shown in black, intersecting the slope of the Bent around, C,. Enlarging this area -
- a scale of cubits is shown the left. From a base of 181 (362/2), using Dorner's 10/7, the height of the Bent becomes 258.57 cubits (or 1810 palms). (The blue line, for comparison, is root 2, ie. base 181 to height 256. It is known that some faces of the Bent 'bulge' but the slope is not likely to be less than this).
On the right the slope(s) of the Red pyramid, with bases 420 and 418, and height 200 cubits. There is a discrepancy of a few cubits in the width of the bend line. To intersect the junction of Bent pyramid slope and bend line, the Red pyramid would have to be higher than 200 cubits. This means the Bent pyramid does not fit precisely within the Red. But does this matter?
Dorner has apparently said more recently (I don't have the reference) that all three shallow slopes - the Bent top, the Red, and the Bent satellite, all have the intended angle of 45 degrees! It is at least questionable why the builders of the Dashur group would have chosen different angles for each of the three - ranging fom 43.5 to 45 degrees in the various reports, especially if they were designed with respect to one another. The Red might be a 'copy' of the Bent, but not a slavish one. Perhaps there were other design considerations, for example the question of star altitudes in the south. I suppose we just have to wait until the pyramid is properly surveyed.
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