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Thread: The Luo Shu - the language of numbers

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    Default The luo shu, the solfeggio scale, and the torus


    The 9x9 magic square in the Luo Shu format can be transcribed so all the numbers are reduced to their Pythagorean root number.

    For instance, 37 = 3 + 7 = 10 = 1 + 0 = 1

    This creates a new magic square using only the numbers one thru nine. There are some interesting features to this new magic square:

    1. Five is the center number of the square as five is the center number of the numbers one thru nine. Five is also the center of the 3x3 Magic Square known as the Luo Shu.

    2. The diagonals in one direction consists of one integer only, and the diagonals in the opposite direction is always a continuous progression of numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9....

    3. The magic square forms a three dimensional torus. That is, the numbers continue in order from one edge to the opposite edge allowing the two dimensional square to be folded once into a tube shape then a second time to form a torus.

    4. The numerical pattern in the column, row, and one diagonal direction is: 1, 6, 2, 7, 3, 8, 4, 9, 5, 1&

    5. The 9x9 Magic Square and the 27x27 Magic Square in the Luo Shu format can have their numbers transcribed into their Pythagorean root numbers and still maintain a magic square as well as define a torus. The next magic square able to do this would be the 45x45 magic square.

    The significance of all this is that the torus shape has important industrial uses.

    When the numbers of magic squares are used to construct a torus shape, the numbers have an ideal harmonic balance that may create a synergy that offers the least resistance to electricity.

    The harmonics may be related to the solfeggio scale (in red), an ancient musical scale that had powerful implications not understood by present society. There are six frequencies separated by an interval of 111.

    Beginning with 63 and doing the 111 expansion one arrives at:
    729 = 27x27
    If we refer to the 27x27 Magic Square in the Luo Shu format (see attachment below) and follow the progression of the above numbers: 63, 174, 285, 396, 507, 618, to finally 729  the last number of the square  a pattern is established. If we continue the pattern in the 27x27 magic square, we will pick up the other numbers of the solfeggio harmonics (in red):

    Furthermore, these numbers, 84 thru 639 are linked on the diagonal to the numbers 111, 222, 333, 444, 555, 666.

    And the numbers 174, 285, and 396 are linked on the diagonal to the numbers 147, 258, and 369  the numbers of the Enneagram.

    All of these twenty four numbers listed break down to the Pythagorean root number of 3, 6, or 9.

    Theory proposal: when the numbers of a large magic square in the Luo Shu format are transcribed into their Pythagorean root numbers a magic square is generated that is in perfect harmonic balance that also (can) describe a torus and this may have powerful toric implications.
    Last edited by robertluoshu; September 12th, 2010 at 11:45 PM.

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