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Another Magic Number

Topic closed. 9 replies. Last post 10 years ago by GASMETERGUY.

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NASHVILLE, TENN
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Posted: October 7, 2006, 1:55 pm - IP Logged

In Gerhard Staguhn book God's Laughter: Man and His Cosmos, published by HarperCollins (ISBN 0-06-019004-3) the author makes mention of something called Feigenbaum Constant.  See page 225.

Choas theory tries to find the missing link between chaotic systems (random drawings) and ordered states.  Feigenbaum, apparently, has discovered a number which is unique to these systems.

The number is 4.669.  I am not enouh of a mathematician to go into detail how this number was derived nor can I give an accurate description.  I can barely find the + and - buttons on my calculator.  Buy the book and read that page for yourself if you need more explanation.

My purpose here is to inform those who are searching for mathematical formulas that another number beside pi exists.  That number is Feigenbaum's Constant.

Happy hunting to those of you who attempt to incorporate that number into your research.  See you in the Funny Farm.  I'll save you a seat.

    RJOh's avatar - chipmunk
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    Posted: October 7, 2006, 3:32 pm - IP Logged

    For more information check http://mathworld.wolfram.com/FeigenbaumConstant.html

     * you don't need to buy more tickets, just buy a winning ticket * 
       
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      NASHVILLE, TENN
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      Posted: October 7, 2006, 3:40 pm - IP Logged

      Thanks, RJOH

      I went to the web site.  Like I said, "See you in the funny farm.  I'll save you a seat".  LOL

        RJOh's avatar - chipmunk
        mid-Ohio
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        Posted: October 8, 2006, 12:41 pm - IP Logged

        Math that use symbols other than +,-,/,x,√,÷,<,>,± and = is out of my league

         * you don't need to buy more tickets, just buy a winning ticket * 
           
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          Blundering Time Traveler

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          Posted: October 8, 2006, 11:43 pm - IP Logged

          Hmm..."veh-ree  inta-resting".

          Thank you GASMETERGUY

            kayee's avatar - animal butterfly.jpg
            missouri
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            Posted: October 15, 2006, 6:45 pm - IP Logged

            Thanks Gasmeterguy, very kool number!

              Raven62's avatar - binary
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              Posted: October 15, 2006, 10:49 pm - IP Logged

              1st Feigenbaum Constant=4.66920160910299067185320382046620161725818557747576863274565134300413433021131473...
              is the limiting ratio between successive bifurcation intervals, or
              between the diameters of successive circles on the axis of the
              Mandelbrot set.

              2nd Feigenbaum Constant=2.502907875095892822283902873218215786381271376727149977336192056...
              is the ratio between the width of a tine and the width of one of its two
              subtines (except the tine closest to the fold).

              http://en.wikipedia.org/wiki/Feigenbaum_constant

                Lkydeb*594's avatar - yummyxmascat
                Luv Vtracs 8-)

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                Posted: October 17, 2006, 8:00 am - IP Logged

                Math that use symbols other than +,-,/,x,√,÷,<,>,± and = is out of my league

                lmaoooooooooo  same here! waaaaaaaaaaay out of my league!

                 

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                  Indiana
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                  Posted: October 17, 2006, 8:44 am - IP Logged

                  I'm not sure about the first reference Raven62, but I get the second. It has to do with how wide your fork is because if the space between the tines and the subtines is too wide it's hard to get the green beans into your mouth.

                  ~rolling eyes~

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                    NASHVILLE, TENN
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                    Posted: October 17, 2006, 9:32 pm - IP Logged

                    1st Feigenbaum Constant=4.66920160910299067185320382046620161725818557747576863274565134300413433021131473...
                    is the limiting ratio between successive bifurcation intervals, or
                    between the diameters of successive circles on the axis of the
                    Mandelbrot set.

                    2nd Feigenbaum Constant=2.502907875095892822283902873218215786381271376727149977336192056...
                    is the ratio between the width of a tine and the width of one of its two
                    subtines (except the tine closest to the fold).

                    http://en.wikipedia.org/wiki/Feigenbaum_constant

                    Raven62

                    Usually "between successive bifurcation intervals" I take Alka Seltzer.  TUMS works but not as well.