Actually, I haven't "argued" at all about it. What I did do is quote from the definition of Sacred Geometry" that YOU provided. As I explained in an earlier reply to you, in Mathematics, you don't get to use only the part of a definition you happen to like; it's the "whole nine yards." It's your definition, you're stuck with it, "vibrational resonances" and all.
Because there IS a relationship between the golden phi and the Euler phi function... :)
Which brings me back to my point, which you seem to not understand: the fact that something is "related" to many things doesn't make that thing important, and in particular, foundational.
The fact that "phi" (the Golden ratio) is "related" to many other things in Mathematics (Mandlebrot, Fibonacci, etc.) is mildly interesting, but it doesn't, ipso facto, make "phi" important to Mathematics as a whole, and it certainly doesn't make it the foundation of the things to which it can be related.
And absent a fundamental, foundational importance for "phi" and the rest of "Sacred Geometry" including its "vibrational resonances," relative to Mathematics as a whole, there is no rational basis on which to assert that this would be a likely topic for Space Aliens to want to traverse the galaxy in order to communicate to us by making funny patterns in farmers' fields.
The litany of links and all the interesting "relations" of "phi" to other concepts in Mathematics is NOT evidence that it and the rest of "Sacred Geometry" including its "vibrational resonances" has fundamental foundational relevance in Mathematics. On the other hand, evidence that "Sacred Geometry" including its "vibrational resonances" were part of the degree curriculum in the Math Departments of the top-50 Universities WOULD suggest that it DID have some significant underlying relation to Mathematics, but this you have been singularly unable and/or unwilling to provide.
This does not surprise me, as I am of the opinion that "Sacred Geometry" including its "vibrational resonances" is NOT part of the degree curriculum in the Math Departments of the top-50 Universities. The previous post of the course offerings for the Math Department of the Univ. of Buffalo (which you originally referred to) for the Fall semester 2002 illustrates this point well; not a single course on "Sacred Geometry" including its "vibrational resonances" is to be found ANYWHERE in the course listing.