Hi C Wayne,
When one looks at your diagrams, one sees that you have sixteen points round the permeter of the main pyramid - seventeen, if the apex is included - from which to draw your circles.
Then you have several different radii to use; quarter base, half base, threequarters base and full base - perhaps even one and quarter of the base, too! So that's (at least) four different radii that could be attempted from sixteen (or maybe seventeen) points.
That's (at least) sixty four (or sixty eight) possible circles.
You then search for a fit on a subsidiary pyramid, on which you have nine points: corners, mid-point of sides and apex. All of these you're trying to intersect.
With that many "bullets" and that many "targets", is it any wonder that there seem to be so many results?
The sort of exercise in which you're engaging is described here:
Quote
"If you set about measuring a complicated structure like the Pyramid, you will quickly have on hand a great abundance of lengths to play with. If you have sufficient patience to juggle them about in various ways, you are certain to come out with many figures which coincide with important historical dates or figures in the sciences. Since you are bound by no rules, it would be odd indeed if this search for Pyramid "truths" failed to meet with considerable success." - Martin Gardner, "Fads and Fallacies in the name of science".
Hermione
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