Replies

Before I prove you to be a complete, total, utterly ignorant fool, why don't you retract some of what you said? [emphasis added to highlight the gratuitous personal smear and threatening behavior]

The reasons I have for not retracting "anything" I wrote are as follows:

1) you have not provided a scintilla of evidence to refute anything I wrote.
2) you have provided NO evidence that the Math Depts. of the top 50 Universities teach technical courses in "Sacred Geometry," which should be trivially easy to do, if it is as Mathematically important as you keep making it out to be.
3) your bloviating threats to "prove you to be a complete, total, utterly ignorant fool" don't impress me in the least.
4) and last, but not least, I decline your "invitation" to retract my statements because, how shall I put this...........
I already have a degree in Mathematics from a top-25 University.

To recapitulate my point, "Sacred Geometry" isn't part of the curricula of serious Mathematics Departments, and serious Mathematicians, like Peano, Cantor, Hilbert, Gödel, Whitehead, and Russell, didn't, and don't, spend their time working on it or worrying about what the value of "phi" is to a bazzillionth decimal place.

Hence, the idea that Space Aliens would travel the Galaxy to stomp "messages" about "Sacred Geometry" in farmer's fields makes no sense at all, at least to someone formally trained in Mathematics.

So spare me your assinine threats to "prove me a fool" and so forth, and spare me your private FReepmail telling me your opinion of my intellect and how closed-minded you think I am. But you are entitled to your opinion.....

I already have a degree in Mathematics from a top-25 University.

Hehe...I love it when you're subtle! :)

The guy's a raving nutter. He's going to rant his rants anyway and imagine that he answers you with web pages on mathematical puzzles and games.

Have I ever told you about my method of squaring the circle?

[emphasis added to highlight the gratuitous personal smear and threatening behavior]

You find a simple statement of fact to be "threatening behavior" and a "gratuitous personal smear"?

I wasn't threatening you, I was simply stating that I would prove you to be a complete, totally ignorant fool if you didn't back off with some of your remarks.
It isn't a smear if it is fact. As you are obviously ignorant concerning this subject, which I will now show, it isn't a smear. As you love to bloviate about how intelligent YOU are and try to paint ME the fool, I think I have every right to say what I said.

1) you have not provided a scintilla of evidence to refute anything I wrote.

I've demonstrated that the "Golden Mean", phi, and Fibonacci numbers are extensively used throughout Physics and other sciences. I'll prove it furthur, but you are obviously ignorant concerning this fact, and either in ignorance or outright deception attempt to portray these topics as fringe science.

2) you have provided NO evidence that the Math Depts. of the top 50 Universities teach technical courses in "Sacred Geometry," which should be trivially easy to do, if it is as Mathematically important as you keep making it out to be.

I don't recall ever stating that the subject was taught as a mainstream course. I did however state that it is obvious to anyone who has studied the history of Mathematics that "Sacred Geometry" is in fact related to Egyptian and Greek Mathematicians, and that this geometry relates to Universal constants and relationships. This matter of "vibrational resonance" which you harp and screech about is just one aspect of a definition which some people might have used to describe "Sacred Geometry", as there IS a metaphysical aspect involved as well. Whether or not YOU believe it possible, there ARE some things that Man doesn't yet understand. IF there are entities who have been here in the past and are visiting us now, THEY may have full working knowledge of that which we currently describe as "metaphysics".

3) your bloviating threats to "prove you to be a complete, total, utterly ignorant fool" don't impress me in the least.

Neither does your bloviating hypocracy impress ME.

4) and last, but not least, I decline your "invitation" to retract my statements because, how shall I put this...........
I already have a degree in Mathematics from a top-25 University.

Oooh, aahhh. Wow.... So are you proclaiming yourself to be a genius, a renowned expert, or another Isaac Newton, Einstein, or Tesla, simply because YOU have a piece of paper from some University? Give me a break.

Now that we can perhaps drop some invectives and go back to discussing the topic at hand, let me reiterate what I had initially stated.

"Sacred Geometry" is a term that describes Universal geometric relations and constants, and had originated in ancient times. The Egyptians and Greeks, amongst other ancient civilizations, utilized this knowledge extensively.

For a proper understanding of what is meant by "Sacred Geometry", follow the links below..

Sacred Geometry Home Page

SACRED GEOMETRY OF CROP CIRCLES

Now that we have a better understanding of "Sacred Geometry", let us go back to the subject of the "Golden Mean", phi. Phi is a universal constant much like pi, which also dates back to the days of the Greeks. If you are claiming that phi is unimportant and obsolete, you might as well be saying that pi, the ratio of the diameter of a circle to its circumferance, is also an obsolete and archaic notion. This would obviously be a false and untrue statement, but it does appear that is exactly what you are saying.

Your extensive links on "phi" and it's relation to "Mandlebrot sets" and Fibonacci numbers, etc., merely reaffirms my previous objection: it, like all of "Sacred Geometry" is a Mathematical curiosity, a legacy of a mystical era in Mathematics, that today is nothing more than a hobby or curiousity for a few Mathematicians.

So again, let me just educate as to the importance of the Fibonacci numbers and phi...

Physics Links

From Ball State University

B. Quantum Transport in Fibonacci Superlattices (Dr. Yong S. Joe) The general research objective is to study quantum effects on electronic transport in a Fibonacci superlattice. We plan to study the concept of the Fibonacci sequence and the `golden mean', and the effects of the conductance and transmission in a quasi-periodic structure. We will use a mathematical model describing potential barriers whose height or separation distances vary according to this sequence. A computer program will be modified so that it can calculate the conductance of this particular system. Finally, we will analyze the computer output and determine the conductance characteristics of this quantum-quasiperiodic system.

Properties of the peaks of second harmonic light through Fibonacci-class ferroelectric domains

From Theoretical Condensed Matter Physics Group

35. W. Salejda, P. Szyszuk: The Landauer conductance of generalised Fibonacci superlattices. Numerical results. Physica. A, 252, pp. 457-564, 1998. 36. W. Salejda, M. Kubisa, J. Misiewicz, K. Ryczko, M. Tyc: Landauer conductance of generalized Fibonacci type semiconductor superlattices. Acta Phys. Pol. A, 94, pp. 514-518, 1998.

Theoretical Solid State Physics Summer term 2002

Dynamical properties of three component Fibonacci quasicrystal

Electroabsorption spectroscopy of effective-mass Al Ga As/GaAs Fibonacci superlattices

Miniband transport in quantum Fibonacci superlattices with a modulated potential

The Fibonacci Lattice

Optical Properties of One-Dimensional Quasi-Periodic Crystals. I. Optical Reflectivity Spectrum of a Fibonacci Lattice

Optical Properties of One-Dimensional Quasi-Periodic Crystals. II. Modified Fibonacci Lattice with Arbitrary Initial Conditions

Optical Properties of One-Dimensional Quasi-Periodic Crystals. III. Optical Reflectivity Spectrum and Structure Factor of a Generalized Fibonacci Lattice

A Golden Ratio construction of the 240-vertex E8 lattice from the 24-cell D4 lattice.

Math Links

In an earlier post, you tried to bedazzle me with your mention of e^(i pi) = -1, which you failed to attribute to Euler. Another interesting relationship that Euler discovered was Euler's phi function. In fact, Euler also is known for Euler's Theorum , which is a special case of Lagrange's theorem.

Another nice treatise on Euler's phi-function is provided at Euler phi-function

Some more math links..

A formula for Fib(n)

The Golden section ratio: Phi

Golden Ratio, Fibonacci Sequence

Animation of Binet's formula for Reals

Golden Ratio

Golden Mean