Re: moving pairs

On Jul 17, 5:23 am, mcja...@xxxxxxxxx wrote:
I saw something interesting about a grid pair puzzle problem that
might be interesting.

it's the problem where in a grid any size you say so many that are
pairs.

|1a|2a|3a|
|2b|1a|3b|
|4a|4b|5a|
|6a|5b|6b|

to make one move is to make the other of the pair move at the same
time, but to solve where it can move first is to figure out every way
it can be solved until you know the last one to move where the first
one chosen to move comes from. a recursive problem said usuallly. the
pairs switch each move.

if I figure each to be able to move with all involved in moving, and
for each they overlap the involved pieces that have to move. so if
you
draw somehow how each can be solved with all that have to move
together where you say together with how you can solve the other ones
the way where each that solves a way is together but all that solve
are together with how they solve it makes what looks like a machine
that can move.

so if I pick one to move how it can be solved to move and draw how it
looks now by seeing how they solve now, it looks like if this were a
machine the entire machine has been rearranged where if you pick one
to move as the part of the machine to move, the whole machine is
moved
to where that part of the machine moved. that's to draw how they
solve
again.

it seems to be able to make a whole machine said with pairs on a
board
move to any position the whole machine can be in for any part of the
machine moved. like, it seems to solve a whole machine .

so figure a machine out of these pairs to be a machine that works,
see
it in how the ones that solve overlap the other ones that solve to
use
the same involved in how any can move.

see it in how it draws again, it's the whole machine moved if one is
moved where it would be for that part of the machine moved.

like, it seems to make the whole machine say it's been running for a
while.

it looks like pairs in a grid can say any machine the way they can be
arranged, like each one that solves a way uses the same pieces as the
others that solve a way, so it looks togther as how they solve as
pieces together and other pieces together, together with eachother.
and to move one that solves any way that it does is to see all over
again how they solve together a new way, and it looks like the whole
machine has moved the way it is to move where only the part of the
machine you want moves.

it seems like any machine that can express a problem to solve can be
said with pairs, where the machine hasn't moved yet but is in
original
position, but then in a completely different position it can be in,
just be moving one that solves. sticking with how they rearranged and
moving them again always is the same part of the machine, for the
rest
to be different the way they solve but as the rest of the machine the
way it's moved connected the part moved.

can anyone back up how this seems to work?

it looks like a machine when you find each that work out the way it
does and say with all the others that work out the way they do
together overlapping common pieces but say connected each working out
as connected, but together as connected it's connected with the others
connected. a whole machine where connected together is a condition of
the machine together as complimentary of what is said for what is said
about where the machine is at. the way where a loop in the machine is
what won't loop on it's own unless the whole machine's set position is
where that loop can move on it's own. a set of pairs that work out
together as sets in different sizes say conditioned together like
where for what matters is for what matters together as what matters
for eachother. it's hard to recognize it as a machine unless you see
that. what's together as pairs that work out together are like the
idea of for what matters is for what matters as where the machine is
at. so machine input is what matters for machine output. always
machine input that makes difference of output is pairs that work out
together. machine beginning and machine ending. to see as machine is
a machine to turns back around to beginning if it were to operate as a
machine. very important is trying to recognize it as a machine,
because it's hard to see. so if you move pairs that work out together
as any way they can move, see all over again the way they work out and
how they share pairs that work out another way too. how to see it as
the same machine again will be flipped around but try in different
ways. any machine can be said with pairs. because with pairs you can
also say this, given how they can be setup, a way for them to be where
any much of them saying they work out a way can say different in any
way for how other pairs work out, and how other pairs are arranged.
any machine always has it so the bigger part of the machine that moves
any way it can passes all the movment it can have to a smaller part.
so the smaller part moved any way makes the bigger part move ways.
because of what any condition can be.

the moving pairs problem i can't find a webpage for. it's where on a
board you setup pairs in any way (but saying a machine that works)
like where

|1|1|2|2|
|3|4|3|4|
|5|5|6|6|
|7|8|8|7|

and each number the same is a pair, now see pair move, each number
moves together at the same time with the other. there's one answer
there can be, but a recursive problem usually to find it. it's where
that pair can move where it can, but it can because the outcome known
for where the last pair moves to where the first pair left. but the
pairs switch each move with where they go, to be not the same pair but
a different pair as paired with where each can go to be pairs with
what left where it can go.

so

|1|1|
|2|2| -> 2 and 2 is 2 and 1, and 1 and 1 is 2 and 1 the other way.
pick any and the same but another way. make moved and try again, it
turns around. the machine idea of it is at beginning then ending, then
beginning again. because that's all this machine does.

make me look better about this?

it is a machine. see how. see how setup bigger they figure to work out
one way for each pair, and each other pair, they do. so see how each
pair you figure can work out has the same pairs as how others work
out. they do.

so draw, draw it so they work out together and others that work out
together are showing how any pair works out the way it does as
together, togther with other pairs that work out together, as one
thing together. one thing together where any pair that works out with
other pairs the way it can move is together with other pairs that can
work out together as together itself, but together with the other
pairs overlapping the same pairs that work out the other way.
altogether though.

now see as a machine. a machine that can work, like any machine. a
machine that starts and begins again where it started. it is a
machine. it's any machine you want depending on how you setup the
pairs. find a pair that can move and move it, see how it's a machine
again another way. it is. see what it is? it's the whole machine
another way. where a part of the machine moved, the whole machine
moved like where that part moved the way it did. it does.

a machine like this shows connected conditions, conditions that
compliment machine position together. not like seeing a loop inside a
loop be it's own, but together.

it's a whole machine, any machine. where a machine is said like it can
be any other way it can be. it's a machine that looks like a machine
when you see how for what matters is for what matters, because it's
like beginning matters for end as pairs that work out together, not
like next machine position is with next machine position, that's not a
machine you see that way.

try making a machine where you see pairs work out together and others
that do, the pairs that work out together are there like loop that
begins is together with where the loop ends because it's a whole
machine. a whole machine that altogether has one position to be in,
one position altogether. a machine like any. it's true.

draw pairs as a machine, but see it be a machine. because it's a
machine like it is. see it all over again when you move pairs together
and see it all again, but now see it as whole machine in a different
position, all of it is, because that's the part of the machine that
makes the rest of the machine where it can be for that part of the
machine. it's not like moving the machine one step, it's like moving
it altogether in one place, so try an easy place to move pairs where
it's at the part of the machine that shows easy how the rest of the
machine should be. it's the whole machine when you move that part
where that part is moved that looks different, it's the whole machine
set position. set position inbetween where it works, for the rest to
be in position different to how that position is set.

see so carefully as whole machine again, the same machine, but
different altogether, because it's altogether set in a different
position. like a machine that's been operated until it gets there, the
position it's in now.

it is, but careful to see as the same machine. because it's all
different. pairs together are connected conditions, togther as all
pairs together is all connected conditions together with connected
conditions that are connected. you see beginning and ending connected,
and inbetweens the way they are. pairs say any machine, they do.

try

make pairs visible as a machine, you see, any way pairs are is for the
way the machine works. a real machine though, a machine that can be
any machine, so see pairs together as how they work with pairs
together as how they work together as what looks like what a machine
can be. a machine can stop in the middle and go back to the beginning,
see it like that. but sometimes not with where it gets to. so see
machine that anywhere can say go backwards, or anywhere before can be

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Moving pairs do actually say they're a machine in a few ways. A
machine like saying a portion of software code that functions, for
real though as a machine that works like some compilers might try to
say as their intermediary code representation. Moving pairs show an
induction function that works any way that they're setup by saying
pairs pass an idea to other pairs like saying how you move a few pairs
is how a few others move, but then you can be any way about that. they
show an actual working machine, like a software code loop that turns
around a few times then exits. You can see how they look like a
machine connected together as they work out.

See it as a machine, a machine that moves the way software code works
though, not like gearwork for example. because inside loop back to
outside, but outside back to middle and such. You see a pair that can
move with all that move at the same time show a connected condition,
that's one part of the machine that can change it's position any which
way that part of the machine can be with how they move as the pairs
together in as many ways as they have to move, but then back around to
how they were in position to start. They can scatter any which way for
how they're setup in a single move, and then each move again, but then
back to the same. The other pairs that are figured to have a way to
move will be different in the way they do for how others have moved.
that's the point, that's the rest of the machine with the difference
for how it keeps working.

you won't figure out how they can move as a machine in single step
though, they can't. an entire machine is a connected condition, that's
why move one then others too, but not all, but the others move
different. it's now the whole machine different, for how a part was
made to be with a changed condition.

See moving pairs like this though.. maybe not explained well...


|c|a|b|
|a|b|c|

so make c and c move... they have to move at the same time together,
to make it anything at all.

c and c to move... at same time, but where? find what can move at the
same time too, but not everything necessarily, but what it takes for
the last move to be made to where they are now to leave, but not
having left yet to go around there's no idea of the last move being
known, so the first move can't be known either. each move is to take
each of the pair and go where they can have their first move to, but
now not c and c pair anymore, because they are not pair together but
each with a new pair. c and c leave but something at the same time has
to come to where they leave, this is made a new pair with what went
where it had to leave from? or with c that left where it went? it's a
problem that hangs at thinking one move anytime, because one move is
not without another move being made at the same time, but the other
move is having another move for it at the same time. it's like to
think all at once for how any move can be thought of.

so given the way they're setup it makes for how this idea works out.
but you also see how the way this idea works out is for how the others
are setup too? like how any setup work out to move a way, but then
others that work out to move a way do the way that depends on the
others that work out a way too, because of another way they work to
move? see how they're part of the machine working with another part of
the machine? but not like a gearwork machine, like a machine that has
to go from middle to outside, and end to beginning. like a machine has
to be to say software code that works. see how though? they way you
call that part of the machine, that pairs that can be moved the way
they move, and the others that use the same pairs the way they work to
move, are now different the way they move.

so see them look the way each pair works to move, but put together
like all pairs with how they work, but working together as together,
but crossing over how they're together. but look careful at how that's
a machine, because loops don't look the same.

so see as when you move some pairs, the machine again to be the same
machine but like the whole machine moved, but not the way a machine
moves one step at a time, but the way a part of the machine made every
other part of the machine move.

.

Relevant Pages

  • Re: moving pairs
    ... just be moving one that solves. ... what won't loop on it's own unless the whole machine's set position is ... board you setup pairs in any way ... a whole machine that altogether has one position to be in, ...
    (comp.lang.c)
  • Re: moving pairs
    ... just be moving one that solves. ... what won't loop on it's own unless the whole machine's set position is ... board you setup pairs in any way ... a whole machine that altogether has one position to be in, ...
    (comp.lang.c)
  • Re: moving pairs
    ... just be moving one that solves. ... what won't loop on it's own unless the whole machine's set position is ... board you setup pairs in any way ... a whole machine that altogether has one position to be in, ...
    (comp.lang.c)
  • Re: moving pairs
    ... just be moving one that solves. ... what won't loop on it's own unless the whole machine's set position is ... board you setup pairs in any way ... a whole machine that altogether has one position to be in, ...
    (comp.lang.c)
  • Re: moving pairs
    ... what won't loop on it's own unless the whole machine's set position is ... the moving pairs problem i can't find a webpage for. ... a whole machine that altogether has one position to be in, ... resolve another way. ...
    (comp.lang.c)