Posted on 07/26/2002 11:24:55 AM PDT by Dengar01
Timing Suspicious On Mysterious Suburban Crop Circles
Could Eerie Mystery Have To Do With Movie Release?
Is it a case of mysterious crop circles -- or an elaborate movie hoax?
A soybean farmer in Naperville said the broken, concentric rings that appeared in a field off Diehl Road left him scratching his head.
"Have you ever heard of something so crazy?" Steve Berning said. "Unbelievable."
Berning said the circles appeared last weekend and damaged more than 10 percent of his 8-acre field.
The circles do resemble similar ones seen in England, but in this case, the timing of their appearance in the western suburb is a bit suspicious.
Two weeks from now, "Signs" hits the big screen. The movie starring Mel Gibson involves -- you guessed it -- mysterious crop circles.
William Leone, an investigator with the Mutual UFO Network, said soil analysis could determine whether the circles have human or extraterrestrial origins.
But Illinois Farm Bureau spokesman Dennis Vercler scoffed at that idea.
"Since I don't believe in UFOs -- at least not soybean-destroying UFOs -- I have to assume whoever did this did it intentionally as a malicious prank," Vercler said.
Meanwhile, Berning doesn't seem overly upset about the circles.
"There's some damage, which upsets me," Berning said. "But I'm more curious than anything. I"ll always be asking questions."
Yes, it's YOUR definition
Why don't you get back to me when you find that definition, as you're really wearing out my patience on that...
And you're wrong about that too.
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.
Your "list of names" were attributed as "serious Mathematicians" in your post#299..
Do you care to restate that Mr. Wizard?
You really don't understand, do you....
from YOUR link ("Binet's Formula for the nth Fibonacci number"):
the n-th Fibonacci number is the sum of the (n-1)th and the (n-2)th.
That's the definition of the numbers in the Fibonacci sequence. Nowhere is "phi" or "Sacred Geometry" including its "vibrational resonances" needed to define it! Fibonacci didn't use "phi" to define his sequence; the fact that it can be used to compute the nth term of the sequence is all very nice, but doesn't contradict a thing I wrote.
The fact that the Fibonacci numbers can be (and were) defined without "phi" means, by definition, that "phi" is not foundational or fundamental to the Fibonacci sequence.
You seem to be struggling very hard not to get this very simple point.
Happy to oblige you.....
One definition of sacred geometry is as follows:"All things throughout our universe seem to follow the same fundamental blueprint or geometric patterns. These geometrical archetypes, reveal to us the nature of each form and its vibrational resonances. They are also symbolic of the underlying metaphysical principle of the inseparable relationship of the part to the whole. It is this principle of oneness underlying all geometry that permeates the architecture of all form in its myriad diversity. This principle of interconnectedness, inseparability and union provides us with a continuous reminder of our relationship to the whole--a blueprint for the mind to the sacred foundation of all things created. We call this blueprint 'Sacred Geometry'." [emphasis added]
You chose the definition and posted it. Live with it, "vibrational resonances" and all.
Just take a peek at the following links as far as the Golden Ratio Phi is concerned.
Atomic Vortex Theorem of Energy Motion
Search for golden ratio in the following PDF file..
arXiv:physics/9810032 v1 16 Oct 1998
As far as the Fibonacci numbers, you seem to have a hard time grasping the fundamental concept of what they are. I'll get back to you soon on those, but for now, enjoy the links I've just provided...
Again, search for 'golden ratio' in the .PDF file..
That's the definition of the numbers in the Fibonacci sequence.
No kidding. BUT, you appear to have failed to read the question, "Can we find a formula for F(n) which involves only n and does not need any other (earlier) Fibonacci values?"
The Binet formula which does in fact provide Fibonacci numbers without knowing any earlier value IS BASED UPON Phi, so you could safely and accurately say that it is DERIVED from Phi.
If we take ratios of the length we will see that the series of whirling rectangles will begin to estimate the Golden Ratio.
2/1 = 2 3/2= 1.5 5/3 = 1.666... 8/5 = 1.6 13/8 = 1.625 and so on.
Hence as we increase the number of squares we get a figure that begins to look more and more like the Golden Rectangle. It might also be noticed that there is something special about the sides of the squares. If we list them we have, 1, 2, 3, 5, 8, 13, ... This of course is the famous Fibonacci sequence. As will be shown in the rest of the essay, the Fibonacci sequence and the golden ratio are intertwined with each other.
Jewish space aliens!
We'll know an UFO is one of theirs if the furniture inside has slipcovers.
Impressive in any event..
It does appear similar to another formation, as shown below. That one I'd say is more than likely a hoax if I were to take a guess, due to its lack of symmetry.
At least no more than "sacred luncheon meats" or "sacred toe nail clippings."
At least no more than "sacred luncheon meats" or "sacred toe nail clippings."
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