Friday, October 31, 2014

The Tetractys and Extended Fibonacci Series


8 comments:

  1. Man, that is cool! You're finding the neatest connections with the extended Fibonacci series. So that particular '2x 3x' tetrad (on the left) manifests as 'angular degrees' of the platonic solids (tetrad on the right) at the 12th iteration of the extended Fibonacci series. Your image demonstrates that well.

    What kind of applications do you envision... how would these particular scaled up numbers correspond to phi music scales? It would be cool to describe with cymatics the process of building (platonic solids) through fractal sound here...

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    1. Hi Greg. I am continually amazed at everything I am finding in this Extended Fibonacci Tables. I was disappointed at first when putting the table to the tetrad because none of the numbers were landing where I expected them to. That being the platonic solid numbers. Then, I realized they are the convergence areas (harmonics), and I was pleasantly surprised to see them all in perfect places when adding the tetrad numbers (tetrad numbers being 144 x Pythagoras' numbers).

      The application of its uses...some ideas...It should be directly connected to electricity and magnetism. I'm putting together a prototype to see what happens. Along the lines of Marko Rodin Coils, but this will be much different. Also, there is a connection to Coral Castle models Ed used to lift those rocks. We'll see!

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  2. Right on! It would be cool to incorporate the fractal spiral research of Jan Warnicki too...

    Building from the Fibonacci base makes your work very intriguing and special! Keep it up man -- model in 3D and build physical prototypes -- try not to get too distracted from people posting online :)

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  3. thank you for your great insight : an interesting design that resonates with yhur research :

    http://i1206.photobucket.com/albums/bb444/MonsieurM/US359748-2tesla_zps72417212.png

    if you don't mind i took the liberty of sharing your site and a few of your images

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    1. I don't mind at all. I am glad you enjoy it. There is a ton of updates I need to do.

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  4. forgot to add another link that you might find quite interesting :

    https://www.scribd.com/doc/169323556/7401586of18september2013

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  5. and the following image of a protein :

    http://i1206.photobucket.com/albums/bb444/MonsieurM/alphahelicesandbetasheetsprotein_zpsb4c05107.jpg


    from: http://publications.nigms.nih.gov/structlife/chapter1.html

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