Thank you Alex for clearing up perceived discrepancies between Petrie’s and Dorner’s surveys. It's reassuring to know that Petrie’s survey is reliable as its consistent with Dorner’s modern survey. Petrie has an average 189.459m, and Dorner, 189.43m for the length of a side - a mere 29mm difference, which means they are virtually identical given the ruinous state of the pyramid.
However, there is still the problem of converting their figures to cubits.
A 362 cubit square base requires a cubit length of 523.3mm
A 360 cubit square base requires a cubit length of 526.2mm.
So which one was used?
The base of the small pyramid is about 52.441m square - if the base was 100 cubit square, the cubit used was 524.4mm.
Petrie thought the average length of the cubit used in the overall complex was 525.3mm, which is more consistent with a 360 cubit square base.
360 is a calendrical number based on the lunar cycle that relates to the organisation of their year - 3 x 4 months of 30 days each = 360 days. The monthly lunar cycle is actually 29.53 days, but they imposed their own artificial mathematical order on the cosmos.
Other calendrical connections are also possible. The summer solstice has 14 hours from sunrise to sunset, and 10 hours from sunset to sunrise, a ratio of 7:5. The winter solstice has 14 hours from sunset to sunrise, and 10 hours from sunrise to sunset, also a ratio of 7:5 - based on this ratio, the angle of incline is 54.462°.
At the equinoxes, the day/night relationship is 1:1 that gives an angle of incline of 45° (sqd 7).
A pyramid that has equilateral triangular faces, has an angle of incline of 54.74°, and a corner edge angle of 45°. The closest whole number seqed to the 'perfect' pyramid form is sqd 5, with an angle of incline of 54.462°, and the architect of Snefru's northern pyramid could have simply used the corner edge angle of the lower part of Snefru's southern pyramid (44.711°) for the angle of the faces of the northern pyramid, linking both pyramids with the same geometry.
The multifaceted designs of Snefru’s two Dashur pyramids seem to have underlying celestial connections inspired by the solar and lunar cycles, and also stellar links with Orion in particular also used to orientate the pyramids, all bound together with mathematically ordered designs that closely approximate the natural order.
Multifaceted designs reflect their afterlife texts that seem intent on covering all bases to ensure the well being of the king in his afterlife and maintain order (mAat) - Sneferu’s Horus name was ‘lord of Maat’ (nb mAat), appropriately named as he maintained the cosmic order.
Leaving aside all these musings, do you know how Dorner determined the base level of the so-called “inner pyramid” that is hidden deep inside the pyramid?
Chris
Edited 1 time(s). Last edit at 02/28/2020 05:08AM by Chris Tedder.