A model of the equinoctial sun latent in the configuration of the sarcophagus of Khufu's Horizon:
The sarcophagus in Khufu's Horizon is slightly skewed.
Its long external diagonal is 1/2 digit longer than the short external diagonal, so the long diagonal is precisely 1/4 digit longer than would have been the case for a perfect rectangle and the short diagonal is 1/4 digit shorter than would have been the case for a perfect rectangle.
The sarcophagus has a skew close to 1/4 degree (15 arc minutes) determined by Petrie as 13 arc minutes.
The sarcophagus may be regarded as at the centre of a circle with a radius of 1000 cubits.
An arc of 0.25 degrees on a circle with a radius 1000 cubits is 1100/9 digits or 122.222 digits as calculated from the pi approximation 22/7 so the model does not depend on the division of a circle into 360 degrees or complex calculations.
2 x 22/7 x 28 x 1000 cubits = 176,000 digits = 360 x 4 x 1100/9 digits
The radius is apparent due east and due west from the sarcophagus from the intersection of projections of the south end with the perpendicular of the east side from the north east corner, and the intersection of the north end with the perpendicular of the west side from the south west corner.
The length of the sarcophagus corresponds to an arc of 1/4 degree at a distance of 1000 cubits, as viewed from the circumference of the circle.
Isn't the radius of the sun on the horizon close to an arc of 1/4 degree on the horizon?
In this model the sarcophagus has a theoretical length of 1000 cubits multiplied by the tangent of 1/4 degree which equates to 89.93 inches for a cubit of 20.61 inches or 90.02 inches for a cubit of 20.63 inches.
Smyth measured the exterior of the sarcophagus in a straightforward manner whereas Petrie's survey determined mean planes for an assessment of volumes. (Petrie's mean planes contracted the length framed by the edges of the sarcophagus very slightly on account of irregular concavities on the ends of the sarcophagus.)
Smyth measured the exterior length as 90.01 inches.
My model of the length of sarcophagus prior to this model was 122 and 1/7 digits which is 90.00 inches from Petrie's cubit of 20.632 inches for the King's Chamber.
It appears that Khufu's sarcophagus is identified with the equinoctial sun on the horizon. If the sarcophagus had been placed at a distance of 1000 cubits from the observer, due east on flat terrain, then the the sarcophagus would partially eclipse the semi-circle of the sun at dawn on the equinox with a quarter of the diameter of the sun either side of the sarcophagus.
Does this model identify Khufu with the sun on the horizon?
Is the pyramid the natural station for the king's soul in between his daily journey with the sun god and his nightly journey with the stars?
Mark
PS
We know that the masons who cut the granite blocks for the King's Chamber were able to cut perfectly square blocks. The skew must be regarded as deliberate, especially as the sides are perfectly parallel to each other, as are the ends.
Edited 5 time(s). Last edit at 07/14/2020 04:11PM by Mark Heaton.