Thanks for this. Sorry I've delayed in responding - lots on this weekend and more later today so I shall have to be brief.
DB: For those who still trust in The Orion Geo-Stellar Fingerprint I would suggest you do the diagrams yourself.
SC: I looked at your image and, whilst it is correct for what you are doing, this is not what I am doing. If you read my post to Morten, what I am saying is to create a "bounding box" around the diagonal. You can do this simply by drawing a circle out from the diagonal centre. You can use a set-square to keep your lines of your bounding box straight.
Now, depending on your angle of orientation (in degrees), you will obtain a different result. With the Belt stars at Giza (G1 - G3 fulcrum) the Al Nitak-Al Nilam (i.e. L1) line orientation is 48 degrees (or thereabouts). So, when oriented at 48* (i.e. line L1), G3 will end up as a rectangle with its present proportions. If you reduce or increase the L1 angle of orientation, this changes the proportion and shape of G3 (and consequently G2 and G1 also). Were L1 to have been at 45* then G3 would be much more square producing a more squared 'mirrored' G3, thus largely increasing the relative proportions of G1 & G2.
I have created a very brief Flash file here to try and demonstrate this.
Now, I am thinking to myself - just what are the odds of the theorised L1 line having a pyramid base at the end of it (G3) with the correct theorised proportions? Must be infinite............
The question now is - why did the designers settle upon an orientation of 48*? Well, interestingly, the reciprocal is, of course, 42*. These are the only two reciprocals where the difference between is 6 degrees. Hmmm.....
Post Edited (12-Feb-12 13:16)