Let’s say for a moment that Kafre’s pyramid was built first at Giza. Thus we want an easy way to define the distances between the center base of this pyramid and the center base of the other two pyramids Khufu and Menkaure. We will not deal with angles right now. Thus we can consider that an ancient architect or surveyor with some sort of ruler or rope could measure the external dimensions of Kafre’s pyramid and from there compute the distance G2-G1 and G2-G3. The two basic dimensions easy to measure are the base length and the distance between the pyramid top and each corner. For consistency we will use Petrie’s exact measurements even though his height output is questioned. Using the royal cubit (rc) derived from the dimensions of the Earth and the alpha constant we have for the base (w) and the top to corner length (t):
w = 411.1526 rc
t = 400.0375 rc
The solution to the exercise should give values close to the measured values G2-G1: 929.942 rc and G2-G3: 867.100 rc. Error divergences should not be too big and we can consider a mean error margin for both cases of within 0.1% as acceptable - given of course the possible error in Petrie’s survey – ancient construction etc.
Thus one can use w, and t, which by the way have a ratio(for those interested) of:
r = w/t = 1.027785 = 1/0.97297
(G2 limestone base)/(G1 limestone base) = 0.97028
and using dimensionless constants pi or phi or e or a or whatever trigonometry and geometry he fancies to compute the two distances. Let’s see who comes up with the best solution – simplest - self consistent – or accurate. You can forget for a minute what the AE knew or not since we have no mathematical proof that the AE designed the pyramids at Giza.
Let me just point out that t is very close to being a round 400 royal cubits. By the way what is this called – the apothem or is the apothem the distance between the base side’s center and the apex? I also noticed in Romer’s book “The Great Pyramid” that the Red pyramid’s base is given to be 219,08 meters(Dorner 1998) which is very close to the GP’s distance between the apex and each corner: 219,22 meters, or 219,14 m (if we take round 440/280 rc values). But why is each and every pyramid aside from Khufu’s not integer in base dimensions?