Now. In my previous post and calculations I made a mistake and didn't double the square at Menkaure's.
Now let the original Alnitak position be p1. Let the original Alnilam position be p2. Let the original Mintaka position be p3. These are the exact star points as seen in the sky.
Extending the p1p2 line by an equal distance we come up with point x1. We then have the Menkaure pyramid diagonal which is x1p3.
Now as you say the p2x1p3 angle is not 90 degrees, according to my calculations it about 96.5 degrees.
Doubling the diagonal we come up with point x2. Placing the p1p2 length line on the second square's diagonal we come up with a new point x3. p2x3 is Kafre's diagonal. also x2x2p3 angle is equal to x2x3x1 angle is 90 degrees(right angle).
We then extend from x3 position the p1p2 length line and come up with point x4. Then p1x4 is Khufu's diagonal.
It's pointless not to make a perfect square at Menkaure's pyramid, because in this case, you would have to do the same at Khufu's and Kafre's ends. There is no way in hell, that you could bring this extended equidistant line the way you did, even if you use a rectangle and come up with these ratios. You would always come up with a large pyramid, a medium one, and a small one. Never with G1 be close to G2.
I wonder why you didn't let a mathematician look at your plan before going public with it, he would have pointed this out in 1 second.
In the below diagram I compare theories. With the previous outcome of your blueprint I set the GP to 230.364 meters and from your plans's ratios compute the other base length. The outcome is an error of 26% and 44%.
Post Edited (07-Feb-12 09:40)