You are, of course, quite welcome to disagree about anything I state... except incontrovertible facts.
Here's a new theory for you:
How many measurements can be constructed from three pyramids whose bases can define a single rectangle that encompasses all three pyramids?
You have 19 base primary points and can construct measurements from each point to another.
That's 19! (factorial) measurements right there, or 121,645,100,408,832,000 measurements alone.
(yes - 19. 4 from the outer rectangle. 5 from each of the three pyramids (4 base, 1 peak))
And that's just length measurements, it doesn't include the angular measurements you could make as well between all those lines' measurements.
Nor does it include any angular measurements you could make from the location of the three on Earth.
nor does it include any of a near infinite number of length measurements you can select from when you consider planetary orbital mechanics (ellipses within ellipses).
So now that the number of potential measurements have approached infinity, it's relatively easy to select a few that appear to have meaning.
If I arbitrarily select 1 out of every 100 pixels in a TV screen full of white static snow, I can, in turn, illustrate Ronald Reagan's profile, Marilyn Monroe's famous dress scene, and the Sphinx of Giza.
Does this mean they are related too???
You are welcome to disagree with me on virtually anything I post. But this isn't my opinion... it's a fact there are that many 'possible' measurements out there.
Just as an example of further extrapolation from the potential set... consider your outer rectangle that bounds all three GP's. Construct a 'super' pyramid based on it's dimensions using the angles present in the GP's. Reflect it across its base to create a diamond shaped 3 dimensional prism. Now using the two end points of that prism, construct a elliptoid (egg shaped) structure whose thickest parts are the 4 points of the original rectangle.
Looks like an egg, but consider it's ratio to that of the egg-shaped solar system we live in (counting all the way out to the Oort cloud)
Try it. Either I've given you more fuel for your fire, or perhaps you'll see from this outlandish example that a subset of the superset can be chosen to define virtually anything.