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May 2017
i'm only scratching the surface with the title, i'm not really
going to state the orthodoxy behind a mathematical matrix,
i.e. e.g.
[ 2  3  1 ]          uttered 'one by three'...
if i had a two-line bracket i could write it as
[ 2 3 1
1 2 3 ]      uttered 'two by three'...
but i'm still fascinated by sudoku, and i can't
get my teeth into it, well **** & proper...
to my tally... only one fiendish solution...
but also: sometimes the difficult tier is easier than a mild
tier puzzle.
anyway... i just wanted to stress that sudoku,
is an irregular matrix...
one explanation is: it's a 2 dimensional object,
but it's a 3 dimensional subject,
in that yes, it's on a piece of paper...
but as a 3 dimensional subject,
the concept includes the 2 dimensional object,
but the added dimension, which makes it 3 dimensional
is time... the time it takes to complete such a puzzle.
and while you're doing one of these, and getting a buzz
off some **** fine *** (all spice infused) -
you hit a point where you either (a) become slightly cross-eyed
or (b) you're looking at the puzzle as if under water and
it's all blurry
thus (c) a blind-spot emerges, and suddenly a few
squares disappear for what could be as much as a second...
and then you make mistakes...
plus, if you're doing it at night? all the worse for wear.
so why do i mean a sudoku is an irregular matrix...
well... i should say "matrix" since i'll include χ (chi) / multiplication
in the notation:         9 x 9 = 81       that's already suspicious
it's an uneven number, but the puzzle is a square...
anyway, the matrix:

[ 9 x 9
3 x 3
3 x 3 x 9 ]
nine squares, in each of the nine squares
another nine squares,
but then there a need to do the following
to see the optics of the puzzle... i.e.:

9 x 9 = 81    +     3 x 3 = 9       +     3 x 3 x 9 = 81
= 171
but then there's the second eye (and the above
stated whims of doing one drunk):

[ 9 x 9
3 x 3
9 x 3 x 3 ]

and as above          171 + 171 =      342...
and to my ability to understand the puzzle,
there are this many variations of inserting a single number into
a sukodu - in the fiendish tier...
or at least that was what i was conjuring when i was stuck
on no. 9019 - and it allowed me to insert a tiny addition (a 3)
into the puzzle. obviously the number of variations decreases
in the lower tiers.
394
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