This chapter is about the 6 square.  This is, of course, that which has a base of six.  This square has 36 sub-squares, the same as the number of Quantum Particles, or Quarks, of sub-particle physics.  This is the reason this square interests me so much, as it may relate to all forms of energy and matter.

    This square has got to be the most puzzling of all in its construction.  The other magic squares of the first nine bases, have all got relatively simple patterns of design to them.  It took me a long time to discern any type of pattern at all invloved with this particular square!  It seems very chaotic, but there IS a pattern.

    This square contains 36 sub-squares within.  Each sub-square contains one of the digits between ONE and THIRTY-SIX.  Each number has a place.  There are no repetitions or omissions.  If you have read Numerometria, you are aware that the numbers between 1 and 36 add up to 666.  (yet another reason to be interested in this square, and maybe the reason it is so complicated.)  Each line:  row across, or column down, and the two diagonals that are six numbers in length, adds to a sum of 111.  (which we know now is 3 x 37.)  Enough chatter though.  The square of six is shown below:

    The pattern for this square is found by searching for the sequences of six digits.  ( I did not do this work, but it has been so long I can no longer give credit to the source which DID actually find the pattern, as I cannot remember!  Sorry.  And if you know who did, please let me know so I CAN give proper credit.)

    It starts with the square of red numbers below.  These are sequences of the digits from 1 to 6, (obviously.)  There are three patterns, and these are reversed to make six Color patterns:

    The next step is to take this table, and apply the following formula to it.  With each value, change it with:   ( n - 1 ) x 6.  {Subtract 1 from the red number and then multiply it by 6} This results in a new table of numbers with values from 0 to 30:  0, 6, 12, 18, 24, and 30.  The digits from one to six added together have a sum of 21, which is 3 x 7, which relates to 37.

Take this new table of numbers then,
Rotate it 90 degrees.
Flip it horizontally.
You will have the table of blue numbers shown below: This is a table that shows the Flavor of each.

    If you then add the table of blue numbers to the table of red numbers, by the corresponding sub-squares, the result will be the Magic Square of Six. (the black numbers).  To show all of this together, I have composed the image below:

 

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Copyright 2000 by J.S.Graham