Loading ...
Sorry, an error occurred while loading the content.

No Diagonals Established.

Expand Messages
  • Harvey Norris
    Rules of contextial organization can be established in such a way so that no diagonal progressions of array are permitted. The dice array might be supplied as
    Message 1 of 1 , Jan 7, 2007
      Rules of contextial organization can be
      established in such a way so that no diagonal
      progressions of array are permitted. The dice array
      might be supplied as an example.
      But first here the example of the chess knight
      journey is supplied. Given the chess board of 64
      squares, the chess knight is given 64 unique moves to
      complete his journey, without stepping on a past
      space, but again how unique or special do these moves
      need be?
      Several clues for movement can be given, and the
      pattern through the first three quadrants can be
      easily learned; but it is the fourth quadrant where
      complications start. If two knights from opposite
      corners of the board started the correct magic
      sequence of moves on the board; each knight should be
      able to move four times through three quadrants
      without interference from the other. If I remember
      correctly in the fourth quadrant seven moves instead
      of four are made, but I have lost the charts for now
      in moving.
      Now the question of duplicate, copy, or mirror
      image comes up. In this knight jousting game the
      first rule becomes first and every square of movement
      by the knight is owned, and for the opponent knight
      to step there requires future payment of rent. So each
      knight by stepping can count on rent from his occupied
      square of past movement. In the fourth quadrant each
      knight might need to move 7 times before retracing
      movemnts through past quadrants, but each quadrant
      only holds 16 squares, so it is very likely that in
      the fourth quadrant one or the other knights must
      conceed and land on a square formerly occupied by the
      opponent knight, and thus forfeit some funds for rent
      But the special rule of this game is thus, it is
      a game for all or nothing, and the payments needed for
      rent are inconsequential. All that is required of the
      knight is to move 64 times, touching each square as a
      new ownership, and the amount of rent required to pay
      for this is irrevalent, because if this journey is
      completed, everything is won and all recorded rents,
      rants and raves, go to the winner.
      So each knight could start the game, and one
      knight could know the correct magic sequence of moves,
      which shows a magic square of 260 for every lateral
      layer, but an unbalanced number on the diagonals. And
      perhaps more importantly for the knight who gets lost
      on his somewhat labyrinth journey, where one wrong
      move can mean future entrapment by surrounded past
      moves; is the fact that each quadrant contains a
      smaller self replicant of the whole or organizational
      balance as a smaller magic square summing to 130 in
      this example as 16 as the smallest self replicate;
      whereupon much larger squares are built. 130 is not a
      magic number, it is only the easiest smallest number
      to illustrate as a self replicant, and of course
      larger numbers are used in larger units of self
      replicants. The whole journey can be plotted out to
      such a degree that after so many moves are made, it
      becomes impossible to make an incorrect move! Talk
      about pre-destiny examples!
      Now a particular problem comes up in the mirror
      image copy. One knight might know the correct
      sequence of moves to reach the 64 ending move, but the
      other knight in opposition need know nothing, he just
      copies the other knights moves mirror image. It would
      stand to reason that if this was done, and the rent
      actually means nothing because winner takes all, that
      whoever moves first must win on the last move. This
      also means that even if both knights knew the correct
      combination, again whoever was allowed to move first
      would win. This makes the game unfair, so more degrees
      of freedom must be added.
      Now what we might do here to make the problem
      more insiduous is to expand the game in three
      dimensions. Since we know that each quadrant is
      itself a self replicant magic square whose side
      additions add to 130 would it not be possible for
      these knights to make there progressions though a
      three dimensional array of 4X4X4 units? The
      possibilty of magic solutions might also be expanded.

      However even more obtuse thoughts can follow. A
      simple thought and question is brought forward.

      Since the magic square knight pattern is known to
      provide a balance on lateral additions of numbered
      moves, but not a diagonal addition of moves; is it
      possible to place those kind of movements on an array
      that permits no possible diagonals? Such a thing
      might intially seem impossible but think again.

      Now a magic cube is the analogy of the magic
      square in three dimensions, they are possible starting
      with 5 to a side, but not lower. A certain number of
      members need be present for the magic balanced
      possibility to manifest itself. And added diagonals
      are also present on magic cubes whereby the same
      example presents itself: the 3 laterals in three
      dimensions can add to the balance number, but the
      diagonals do not; therefore these examples are
      referred to as imperfect magic cubes.

      Now what might not be immediately obvious is the
      same deception I endured; to mentally think that a
      magic cube could be replaced as a three dimensional
      array of stacked dice, after all we could look at
      these stacked dice with numbers on all 6 sides and at
      any of three lateral outside dimensional viewpoints
      we can see a row of numbers, and since a magic cube is
      possible, why isn't magic dice as an analogy possible?

      Here is the difference. On a magic cube each and
      every number on the cube is used in three different
      rows or combinations in a three different
      dimensional combinations of balance. For the magic
      dice analogy each dimension of rows uses a different
      set of numbers on each dimensional viwpoint, thus it
      uses a toal set of numbers three times greater then
      what the equivalent magic cube would employ. Since
      these combinations are only natures code for maximum
      internal capacity to be contained in a sliced coil
      construct it should be realized that magic dice
      combinations, if they exist should be better examples
      for internal capcity methods.

      This should also comfort the magic knight moving
      in three dimensions for lateral balance since now ALL
      of his combinations should be magic or balanced. This
      is because in the dice heirarchy no diagonals are
      permitted, A unit of three is superimposed on three so
      that one point can be made with 3 parts ect. ect.
      ect.; but if those diagonals exist they are there,
      but I just can't concieve of it yet.

      Harvey D Norris

      Tesla Research Group; Pioneering the Applications of Interphasal Resonances http://groups.yahoo.com/group/teslafy/
    Your message has been successfully submitted and would be delivered to recipients shortly.