Both the lower chambers have the pi representation as 22/7, but it is only the second antechamber that is on the north-south axis.

Also, the second antechamber is conspicuous in that it is structured around the number 30, so it is this chamber that is a representation of the latitude of Dahshur.

The Bent Pyramid complex had a representation of a circle with 360 divisions, and the same division of the circle now implies that the site was regarded as at approximately 30 degrees north of the equator, with 1 royal cubit equal to 1 degree, as previous.

The second antechamber does, however, provide a more precise representation of latitude by its own symbolic circle.

This implies that the second antechamber is actually slightly larger than the first antechamber. The first antechamber had a circuit of 320 palms, and I would predict that the second chamber has a circuit of 322 palms.

Have you got data on the precise heights of these chambers?

Analogous design of Grand Gallery of Great Pyramid:

For the Grand Gallery of the Great Pyramid it appeared to me that the height must be the square root of the height of the pyramid. I made a special journey to London just to find out the height, but the library closed due to staff shortages on a Saturday, just at the very moment that I arrived at the door. So I had to wait a while to find out:

The construction started at the lower northern end, and the first 3 of Smyth's measurements actually on the sloping floor were 344.2, 343.7 and 346.0 inches.

Smyth expected differences from the tilt of the roof stones. The 4th, 7th and 10th tilted more steeply, and 4 x 7 x 10 = 280, with the design height of the pyramid equal to 280 royal cubits.

That may be a coincidence, but the average of Smyth's first 3 measurements was 344.6 inches, with the square root of 280 in royal cubits equal to 344.9 inches.

The anomalies in the design of the north end wall, and the regular structure of the side walls indicates that the intended perpendicular height was exactly 15 royal cubits with the vertical height equal to the square root of 280.

The angle to square the circle, for pi = 22/7 is the cosine 15/sr280, and the slope of the floor of the Grand Gallery is equal to this angle:

The cosine of 26 degrees 18 minutes 30.24 seconds = 15/(sr280).

The measured slope is very close to 26 degrees 18 minutes.

All this and much more is in my monograph on the Grand Gallery

This is relevant because I have claimed that the architect represent the latitude of the Red Pyramid by squaring the circle for the pi value 22/7.


Conclusion

I have proposed a height of approximately 206.5 royal cubits for the Red Pyramid, so the height of the second antechamber would need to be approximately 14 royal cubits and 10 digits for the same symbolism, but Lehner notes the height as 12.31 metres (say 164 palms?) in his popular book.

It may be that the second antechamber of the Red Pyramid had a height with some other symbolism that we can deduce. It would be a neat design if the height is actually 23 royal cubits (12.08 metres), which is 161 palms; (the square root of 25,921 is 161).

(There is a virtual circle with a circumference of 25,920 palms as previous, and a square with sides of 161 palms has an area of 25,921 square palms.)

Not all modern surveyors measure as precisely as Petrie & Smyth. Some may be content with approximate dimensions in modern units of length in order just to provide an impression of size for readers.

Are the overlaps equal to 7/22 royal cubits?

This would be hugely significant as the inverse of pi, and would fit my model.

We need accurate measurements to progress.

Mark