The north end wall of the Grand Gallery of the Great Pyramid was discussed recently on this forum, and I noted that the overhang of the lowest corbel on the north end wall is approximately 6 1/2 digits, with a rise of approximately 3 1/4 digits mirroring the slope of the floor, which is close to a simple 1 in 2 slope.

I decided to re-check Petrie's measurements, knowing that I had rounded his measurements to the nearest 1/4 digit in my 2006 monograph on the Grand Gallery. It turns out the rise is precisely 3 1/7 digits, which equates to 22/7 digits, and may be regarded as symbolic of pi.

A new theory arises from this observation:

The Great Pyramid of Giza had a design height of 280 royal cubits and a base side-length of 440 royal cubits. This design conforms to the common pi approximation 22/7 in that the pole of the pyramid may be regarded as the radius of a virtual circle, and the perimeter of the base square as the circumference of that circle. Inside the Great Pyramid is the so-called Grand Gallery, which is an inclined narrow passageway with soaring elevations. Its vertical height at the entrance on the narrow north end wall is equal to the square root of 280 in royal cubits.

The north end wall of the Grand Gallery is not vertical, but leans in nearly 1 royal cubit (28 digits) with 5 corbels overhanging 4 digits each, and an anomalous sixth corbel, the lowest corbel, overhanging by a depth of over 6 digits.

A model of the north end wall in digits reveals that the sloping profile of the overhang below the lowest corbel may be regarded as the diameter of a circle. The circumference of the hypothetical circle is equal to the sloping length of the overhang multiplied by the vertical rise of the sloping overhang because the vertical rise is 22/7 digits. This design highlights that the circumference of a circle was contemplated.

The formula for the circumference of a circle is 22/7 x diameter for the pi approximation 22/7.

The bottom of the lowest corbel on the north end wall is nearly 47 3/4 royal cubits above the base of the pyramid (1,336 1/2 digits), and at the precise level where the perimeter of the exterior is 1,460 royal cubits. This level may be interpreted as the circumference of a virtual circle, as for each and every level of a pi pyramid. It has long been supposed that the ancient Egyptians perceived a solar cycle of 1,460 years arising from a fixed calendar year of 365 days. The new evidence indicates that a solar cycle of 1,460 years was a design feature of the Great Pyramid, circa 2500 BC.

The sloping floor of the Grand Gallery has a rise of sr55 royal cubits for a slope length of sr280 royal cubits, so a circle with a diameter of sr280 has an equal square with a side-length of 2 x sr55 royal cubits. The sloping profile of the overhang below the lowest corbel mirrors the slope of the floor. By analogy, the slope length is the diameter of a circle, and the vertical rise is pi digits, so the side length of the equal area square is 2 x pi digits.

Ingeniously, the architect chose the one and only special solution where the vertical rise multiplied the slope length (diameter) equates to the circumference, and did so to highlight that the bottom edge of the lowest corbel identifies the level where the perimeter of the pyramid has a virtual circumference equal to 1,460 royal cubits.

The sub-title of my monograph on the Grand Gallery of the Great Pyramid (2006) was 'squaring the circle of Sirius' in which I overlooked this observation.

The subtle design of the overhang below the lowest corbel is an architectural anomaly that now confirms that the architect contemplated squaring the circle of Sirius. The perimeter of the pyramid at that very level is the square that represented a virtual circle symbolic of a perceived solar cycle of 1,460 years.

The first annual appearance of Sirius at dawn tracked the solar year of approximately 365 1/4 days, not the fixed calendar year of 365 days. Sirius, the brightest star in the sky, appeared 10 days later in the Egyptian calendar after 40 calendar years of 365 days.

The design of the Great Pyramid now proves that the architect contemplated a solar cycle of 1,460 solar years. It was surely reckoned that Sirius would appear on the same calendar day 365 days later ie after 1,461 calendar years.

Mark




Edited 3 time(s). Last edit at 09/10/2016 08:57AM by Mark Heaton.