X rotation angle
Y rotation angle
Z rotation angle
Data output panel 2
Layer Manager

Cross checking the latitude calibration

The same mathematics inside the gallery can be used to cross check that the calculation just performed to calibrate the latitude of the pyramid was carried out correctly. If you zoom in to the north wall of the gallery the overlaid illustration shows the manner in which the north gallery wall calculations are performed.

Starting from this ascending passage floor line, which extends into the north end of the gallery, it should be possible using the mathematics of the gallery end walls to go up from the floor to the first overlap of the gallery wall, deduct the overlap length at each end of the gallery and calculate the angle of the 1st overlap. If this procedure is the repeated all the way up to the roof of the gallery, the roof angle can be calculated from the floor angle and its value MUST be the same as the precise roof 'test' angle dictated by the 200/221 primitive triangle.

Because the roof of the gallery is designed with a fixed 'test' angle from the primitive triangle with sides of 200 and 221, and the end walls are fixed in place, then they are static pieces of architecture that do not move with the dynamic geometry. The floor angle of the gallery that is required to carry out the calculations must therefore use the 2nd static reference ellipse that was used to form the static pyramid's faces for its formation geometry. The system that is being used in the architecture can be summarised as:

Test roof angle = floor angle + wall end mathematics

The data output from this calculation is shown in the text below and should be read from bottom to top. It shows the starting floor angle, each of the overlap calculations, the calculated roof angle and the fixed roof angle from the primitive triangle.

The roof angle calculated from the floor upwards is 25° 10' 36.39" and is not the same as the fixed roof angle from the primitive triangle of 25° 10' 47.15", but is very close. The discrepancy between the two values is occuring once again because the reference ellipsoid that is in use is still our current WGS84 model, and is not the same size or shape as the reference ellipsoid that the architects have used.

In the advanced section of this work, once the orginal ellipsoid's parameters have been established from which the ascending passage angle is derived, this gallery north wall test system can be used once more to check the calculations being performed with the gallery end walls are correct.

Last edited: 14th September 2019
Last code/graphics edit: 29th March 2021