Petrie agreed with Smyth's theory that the perimeter of the long walls of the King's Chamber may be regarded as the circumference of a circle with a diameter equal to the length of the chamber as 20 cubits.

A circle with a diameter of 20 cubits has an equal area square with a side length of 365 x 34/25 digits for the pi approximation 22/7.

The perimeter of the virtual square equates to 1460 x 34/25 digits which we could regard as a cycle of 4 calendar years and one day short of a solar cycle of 1461 days.

The east wall of the Queen's Chamber leans in precisely 34/25 digits and the niche in the east wall is displaced from the centre of the chamber by precisely 34 digits.

The length of the Queen's Chamber into the niche is 365 digits as 309 digits for the length of the chamber plus 56 digits into the niche, which reminds us of the number of days in a year.

The length of the Queen's Chamber (309 digits) reminds us of the Egyptian cycle of 309 lunar months in 25 calendar years of 365 days (9125 days).

Multiplication of the displacement of the niche (34 digits) by 365 equates to:
9125 x 34/25 digits which may be regarded as 9125 days.

The east side of the pyramid was built first with the distance between the foundation corner sockets equal to 440 cubits plus 45 digits at the north end of the base square and plus 45 digits at the south end of the base square. This length was symbolic of the lunar cycle:

9125 days x 34/25 digits / day = 12410 digits = 440 cubits + 90 digits

The cubic diagonal of the King's Chamber is 25 cubits and may be regarded as a symbolic multiplier of the side length of the virtual square (365 x 34/25 digits):

25 x (365 x 34/25 digits) days per year = 9125 x 34/25 digits = 9125 days

The cubic diagonal of 25 cubits may therefore be regarded as symbolic of 25 calendar years of 365 days.

We should therefore look at the level of the pyramid where the perimeter is 1460 cubits which is 47 cubits 20 + 4/11 digits above the base square = 1336 + 4/11 digits. This could then be symbolic of 1,460 years.

In 2006 I published a model of pyramid levels in my monograph on the Grand Gallery:

Petrie observed that the level of the floor of the King's Chamber bisects the area of the pyramid triangle (82 cubits) which I took as the level at the top of the Great Step on the axis, with the height of the Great Step on the axis as 48 digits. The foot of the gallery is 39 lower at a level of 41 cubits 8 digits (1156 digits).

My model of the north end wall on page 88 shows the difference in height between the bottom edge of the face of the lowest overlap and the foot of the gallery as 180.5 digits, so at a level of 1336.5 digits (180.5 + 1156) above the base square.

The lowest overlap on the north end wall is conspicuous as an architectural anomaly because the seventh overlap is missing and it has a depth of approximately 6.5 digits rather than the standard overlap of 4 digits. It marks the level where the perimeter of the pyramid is 1460 cubits accurate to a small fraction of a digit based on my model.

If 1460 days was seen as 1 day short of a solar cycle of 1461 days, then 1460 calendar years was seen as 1 calendar year short of a solar cycle 1461 calendar years:

1460 x 365.25 days = 1461 years x 365 days

Therefore the solar cycle was seen as 1460 solar years of 365 1/4 days with the sun completing 1460 solar years in 1461 calendar years of 365 days.

An extra day every 4 years keeps the calendar year close to the solar year and would be the case even if mist obscured all the stars including Sirius.

The Egyptians did not add an extra day every 4 years as they were able to predict the equinoxes by adding a day every 4 calendar years for projections into the future. These predictions were in the framework of a repeating cycle of 309 lunar months in 25 calendar years allowing the Egyptians to predict the coincidence of the lunar and solar events such as a full moon on the equinox.

This explains why the Egyptians retained a calendar year of 365 days even though they were aware of your cycle of 1461 days.

A cycle of 1461 days is simply 4 solar years of 365 1/4 days, and has nothing to do with Sirius.

Mark





Edited 2 time(s). Last edit at 10/25/2018 05:05PM by Mark Heaton.