Some things I was told about the Golden Mean

topic posted Fri, October 28, 2005 - 8:10 AM by  Unsubscribed
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I've been having a long chat with someone who is very well known and respected in the world of science and sacred geometry, but he is keeping a low profile so I wont say who he is.

I love the Golden Mean so some of the things he said . . well have a look.

He has this to say about the Golden Spiral and i wondered if anyone wanted to comment on it?

Firstly I asked:
What is it that the Fibonacci does not have that keeps you from respecting it equally amongst other spirals?

And his response:
It's nonsense. It's trivial. It's almost useless.

There is a whole world of really intriguing forms. Forms based on the Fibonacci numbers are just not interesting, because they're so trivial.

I don't mind if others are fascinated by the wallpaper, but I'm not. There is nothing wrong with the Fibonacci numbers, other than that they're "a dime a dozen". The whole thing is just plain wacko. Why people are so focused on this triviality is beyond me.

He are some other snippets:

1. The golden proportion is sterile, because it's narcissistic. It always circles itself in its own self-image, just like Narcissus in the famous myth of Greek godly mental illness. Narcissism, self-centeredness (as represented by the logarithmic spirals, including the golden spiral), is the antithesis of maturity and spiritual growth. It attracts children whose world includes only themselves and
their parents.

2. The golden spiral is sterile because it is _completely_
symmetrical, and never changes. It's the opposite of life, which is why it only shows up in the dead traces of where life used to be. It's not productive. Life is extraordinarily asymmetrical. I'm not referring to the fact that we have left-right symmetry and two arms, two eyes, etc. I'm talking
about the process of life, not a photograph. The process of life is utterly asymmetrical, starting from a helpless single fertile cell, and growing into billions of cells of an utterly unique being with free will. This is truly "the one and the many". It's exactly the opposite of the "gilded" frauds being promoted on the Internet.

3. The golden proportion is not either enormously important, nor worthless. It's a number. It's one of an infinite number of interesting numbers. It's not important in any particular way, compared to many other numbers, and numbers are not important at all compared to what they represent.

On the scale of importance, if healthy, natural cooking is a 10, and McDonald's Burgerbilge is a 1, then the golden proportion is a 2. Okay? It ain't going to poison you, but it doesn't provide much nutrition, either.

4. The nutburger that wrote the book on the golden proportion for Dover Publications was a religious fanatic. This kind of pseudo-scientific nonsense has been selling like hotcakes for about a century and a half since someone first decided to call the "narcissistic" spiral, golden. (Prior to the mid-1800's, neither the proportion nor the spiral were called "golden". The name was because fraudsters were trying to "turn lead into gold". Apparently, this con still works, because there are plenty of people on the Internet who are buying it. It's just plain sad.)

5. The idea of "a most beautiful proportion" is itself simply not true. This doesn't stop artists from believing in it, but it does frustrate people who know more.

And then he says . . . .

There are extraordinary beauties in mathematics, but you have to refine your eyes first, in order to see them. Most mathematicians that I know see mathematics as a kind of music, perhaps the highest form of art because of its extraordinary beauty. (Most non-mathematicians don't see any of this. But then, people who are tone-deaf don't enjoy music.)
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  • Re: The Importance of Aesthetic Values

    Mon, December 12, 2005 - 4:37 PM
    Your friend although possibly well educated, obviously has no experience in aesthetics, his tone and candor reflects an analytical training.

    When people understand the golden mean in movement the movement is beautiful... and functional. When they do not, their movement is not a beautiful... and not as functional.

    I take issue with the following statements:

    [b]"It's the opposite of life, which is why it only shows up in the dead traces of where life used to be."[/b]

    The proportional distances of form in the human body adhear to the golden ratio.

    [b]"The process of life is utterly asymmetrical"[/b]

    Erroneous statement. The process of cell division is extremely symmetrical. There are hundreds of physiological examples of symmetry in biological growth patterns, and NON-biological growth patterns that contradict the above statement.

    [b]"The idea of "a most beautiful proportion" is itself simply not true. This doesn't stop artists from believing in it, but it does frustrate people who know more. "[/b]

    Know more... of what? Brilliance is not displayed in critisizing without an alternative choice. This person does not only challenge the idea of the importance of the golden ratio with the above statement, they challenge the validity of the various schools aesthetic thought.

    Aesthetics: Of or concerning the appreciation of beauty or good taste. (dictionay.com)

    [b]"There are extraordinary beauties in mathematics, but you have to refine your eyes first, in order to see them. Most mathematicians that I know see mathematics as a kind of music, perhaps the highest form of art because of its extraordinary beauty. (Most non-mathematicians don't see any of this. But then, people who are tone-deaf don't enjoy music.) "[/b]

    A complete contradiction of the rest of his argument. He concludes with a refernece to Aesthetic value.

    Kind Regards,

    Dave Copeland


    • Unsu...
       

      Re: The Importance of Aesthetic Values

      Fri, December 16, 2005 - 5:38 AM
      Hi Dave

      Thanks for the response. He did seem a bit cold to me in his thinking. I said similar things to him via email as you said below and managed to . . . er . . . he stoped talking to me. Oh well . . .

      He mentioned some things that I found quite interesting. He mentioned the Silver Mean, which apparently is unknown to most people and also the Theodorus spiral. So far I have found very little info on either . . . He seems to think that the silver mean is superior in some way to the golden. also that it was the Theodorus spiral that was mostly used my the ancients in the building constructions.

      aum
      • Re: The Importance of Aesthetic Values

        Sun, January 29, 2006 - 4:03 PM
        Boy what a pain - creating a phony account and registering just to give a little help to a thread I will never visit again.

        But here it is:

        The spiral of theodorus arises naturally in the study of phyllotaxis - botanical forms - consider for example the arrangement of seeds in the sunflower seed head. The spiral of Theodorus therefore gives rise in a very natural way to the golden section, or golden proportion, or golden mean. Your friend is therefore either quite ignorant, or a hypocrit.

        The golden spiral is simply a logarithmic or equiangular spiral with base equal to the golden mean.

        The golden mean has practical applications in the optimization of efficient data base search algorithms.

        For more info on the Theodorus spiral check the references in the article on same in the March 2004 American Mathematical Monthly.

        In conclusion, I suspect your friend is neither well known, nor well respected among scientists - he sounds like a curmudgeon.
        • Esoteric math shit-talk

          Sun, January 29, 2006 - 6:46 PM
          In all seriousness, I love this tribe for the simple presence of cynical number theorists. I got into sacred geometry through meditational practices, and have gone from there with a serious fondness for irrationals and their stubborn refusal to be pigeon-holed and rounded. I see chaotic creation and limitlessness in them, and that right there is fundamental to my spirituality. A dose of deep analysis of pi or phi, and a day in the woods is my idea of a good time. Nerd, who me?

          I just wanted to share a chuckle, and an appreciation for this thread. Especially Avery's determination to start an account just so he could throw in his two cents. Classic. It sure beats the typical dead-end coffee talk banter, and hollow philosophy typical of self-described fringe thinkers.

          Keep on thinking, number geeks. Dimentional shift through a grasp of irrationality is within our reach. No, seriously.
          • Re: Esoteric math shit-talk

            Wed, February 21, 2007 - 5:27 AM
            Why is the "golden spiral" always self-similar? I think it is not. If the golden spiral is a reflection of the golden ratio.. an expression of a property of that ratio, and the ratio itself itself is irrational, (meaning that there is no self-similarity in the ratio, in the number), then obviously there is no true self similarity in the spiral. Is this right?

            A second viewpoint is that the distance of any curved line is irrational. Each section of any spiral is a section of a circle, and if the circumference of any circle is irrational, then any section of any circle is non rational also.

            anyways, I want to ask something. In the classical golden spiral, there is a second spiral implies. each curve is 1/4 a circle.. the ther curve is then you draw the 3/4 of the remaining circle outside the square, and you do not draw the 1/4 in the square. this results in another spiral which wobbles and it not as pleasing to the eye. what is it called? You can do the same thing with golden traiangles. I think there's 2 golden traiangles.. and they each have two logarithmic spirals each.

            I was incorporating the golden spirAL into my analysis of plato's allegory of the cave.
            • Unsu...
               

              Re: Esoteric math shit-talk

              Thu, February 22, 2007 - 5:40 AM
              the ratio is not a number- it is a relationship. When you attempt to represent it as a number you will have no pattern in the decimal places. That doesnt mean that the principle of self-similarity is not exhibited by the ratio. When you have a rectangle whos sides are in the golden ratio- and if you cut off a square which is the shorted side, you are left with a smaller rectangle whos sides are in the golden ratio. That is the self similarity because you can keep cutting off squares in this manner to get ever smaller rectangles whos sides remain in this ratio.

              Perhaps we need to think a little more about the difference between number, ratio and proportion.

              -Dan

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