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## No Diagonals Established.

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• 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
there.
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.

Sincerely
Harvey D Norris

Tesla Research Group; Pioneering the Applications of Interphasal Resonances http://groups.yahoo.com/group/teslafy/
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