Oh, I see what it is. That's just the angle that results when you put a 7:1 and a 5: 2 triangle at 90° to each other like that, 60.0684881°. The Egyptians must have noticed that interesting fact, that it makes an almost perfect 60° angle. So rather than trying to make a perfect equilateral triangle, they were making those two right triangles, knowing that it makes an almost 60°. If they had wanted to make a perfect 60° triangle there is little doubt that they could have done so. I'm guessing that they purposely incorporated those two right triangles.

Interesting that the error in the 60° angle is almost exactly the same as the error in the azimuth of of G1. What if they started with a pefect N/S reference line and then made a line at exactly 30° to that then set a line at the proposed center of G1 at the exact angle of that triangle point, if you know what I mean? The azimuth of the pyramid would then be 0.0684881° West of North. The actual azimuths of the sides are W; 0.0650996°, E; 0.0658522°, S; 0.0613557° and N; 0.0549030°. So as you can see, they are all within tiny fractions of the angle produced between the two right triangles. G1 may not have been aligned to N/S in error, but purposely set to that triangle angle. That would then clue an astute observer in to the fact that those 7:1 and 5:2 triangles were involved.



Edited 6 time(s). Last edit at 01/17/2013 08:48AM by Rigel_7.