- Moving pairs

Given something like a checkers board, moving pairs would be checker pieces

paired together and arranged on the board so they each checker piece

is said to be paired with another.

The pairs don't have to be next to eachother, they can arrange on the

board in any awy.

Any way arranged is fair for how this works, but it matters for how they work.

There's no such thing as an empty space among pairs for how you

consider them together.

They are the idea of how they move, and the problem with finding how

to move them, and how they work being together.

- Moving a pair

Pick a pair to move.

Each of the pair is to move together at the same time.

A pair together can only move to another pair together.

A pair moves to another pair, and each of the pair becomes paired with

each of the other pair. So now both pairs are new pairs, with the

pair that moved to another pair not being a pair anymore, both of the

pair to move

becomes a new pair with the pair that has to move for where they move to.

A pair moves to another pair, but the other pair is what moves away at

the same time.

A pair moves to another pair, the pair it moves to has to move at the

same time to another pair. So when moving a pair to another pair, that

pair has to move too.

So the pair to move to another pair becomes a new pair, each of the

pair to move to another pair

becomes part of a new pair with the pair that they move to. The pair

they move to is the pair to move to another pair at the same time.

You can't know what any pair's first move is until you know it's last move.

There's nowhere to think in the way moving pairs can move how it has

any inbetween to stop moving. It's always that a pair moving is making

another pair move, and is having a pair move it.

For any pair there's always one way to move it.

To think of pairs in the middle of moving is to think of needing to

know the end and beginning at the same time. Because a pair is

moving when a pair moved it, and is moving another pair where it's going.

But it's going where a pair can move to another pair, and coming from

having a pair move it.

So a pair to move is moving where it can go, where another pair can

move from, where it gets to there being

a pair that can move to where the first pair left.

When a pair moves it's what is moving away from what had to move it,

and is moving what needs to move at the same time for where it's going.

Each time a pair is moved, all the pairs involved in moving are

alternated as pairs. So a pair when moved makes all pairs that have to

move at the same

time paired another way.

You can't know how a pair moves, it's to figure out as the problem

they have. The last pair to move has to be figured before the first

pair to move has a place to move.

All the pairs have a way to move, but may involve more or less of the

other pairs to move at the same time.

So a pair can be moved, but it's to figure out how to make it move.

So....

|55|66|55|

|44|44|66|

Move pair 44 44. Choice is either 66 66 or 55 55 depending on what can

work to make a whole move.

44 44 can move to 55 55, only if 55 55 can move to 66 66, and 66 66

can move where 44 44 is to start.

so try... 44 44 moves to 55 55. Now the 44 44 pair becomes paired with 55 55.

So now the 44 44 pair are a pair each with the 55 55 pair, and 44 44

is where 55 55 was. The 44 44 and 55 55 pair are not paired

anymore, but 55 55 went to another pair, the pair they went to has to

move to another pair and switch being a pair with them too.

It's always that a pair is moving to another pair, that got moved by a

pair, that's moving another pair at the same time. Even the pair to

move first, because the last pair to move has to go where the first

pair moves from at the same time.

The last pair to go where the first pair moves from is never a pair

together once they get there.

So to know the first move is to know the last move, because the first

move is where it works around to the last move, and the last pair to

move is what can go where the first pair left.

It's to try any way that works, but only one way works at making a round trip.

- Moving pairs are a machine

They can be arranged in any way so that the way to move a pair is to

have to move others too. So between all pairs they have an

arrangement strategy that carries a way to work at being rearranged. A

way where to work at being rearranged is to be able to

rearrange in any other ways, but always able to make it back to the

same arrangement. They follow a way to rearrange like a machine

in a different condition.

Pairs can store how to associate any letter with any number by having

it so some pairs say a letter and other pairs say a number, so how you

move some pairs to say which letter is for some other pairs to move to

say which number.

Any pair that is moved can make it so other pairs to move have another

way for how they move.

Pairs that work in moving together can be close or far apart, so they

extend across the idea of how it's a machine as much as can make sense

for any way to have a machine work.

Given all the pairs that move together, any of them to move makes them

all move together, and given another move to a pair that's

together in moving it works around varying arrangements until it's

arranged the same again, but moving starting with another pair

changes how another pair moves in differencing arrangement.

See how a pair to move is to make another pair move differently? See

how that's part of the machine to move but also another part

moved? See how they overlap where part of the machine is part with

another, but to move is to move another part?

If there is a part of a machine to move on it's own, isn't that to

move another part too? Maybe that's to see a way different than how a

machine runs, because of how a machine has integrity together. It

seems a part of a machine that can be said together is a condition

that is connected together.

A pair with what moves at the same time also finds what moves at the

same time for another pair to be moved when it's moved. You can see

how the way they overlap is, it's how a condition connected together

is some of another condition, and made to be a different condition is

another connected condition made to be different. Like, parts of the

machine overlap using the same pairs where the condition of a part is

respectful to the condition of another part. So for the pairs that are

moved that are part of another connected condition is the other part

in another condition like it matters for the condition one part is in

for the condition another part is in.

Can you see how a machine is altogether the way where any part of the

machine is in one condition that matches only one condition another

part can be in? and how a part of the machine changed to another

condition is for another part of the machine to only have one

condition that can match? See how that ought to be a machine

altogether?

- Machine diagram

See each pair for how it can be moved with all the pairs that have to

move togther. See other pairs together be some of the

same pairs together another way. So for a pair and all that move at

the same time it's a part of the machine that checks itself in many

conditions but is in one of it's conditions, and another pair that

moves using pairs overlapping another part is a part that is in

condition altogether for how the condition of the part it overlaps is

in condition.

Draw for each pair a diagram of how each piece makes another piece

move. Make it a complete circuit for each pair to begin with that goes

back to the pair for how it moves.

There can be other places to start from that use pairs moved another

way that show another direction of movement.

See a pair the way it moves other pairs as a part together that moves,

and for how it moves other parts that it overlaps.

See where they overlap as connected as a part of the machine together

with another part of the machine. See it the way that it's a part

of the machine that moves another part of the machine, but each there

own part. So see that as a seperate part but overlapping another

part.

For the way a pair can move, all the pairs to move together are a

connected condition. Together the way where it's part of the machine

to say for another part of the machine how to be.

Say for each group of pairs that move together a line that connects

them, where all pairs are together this way. So it should be that all

pairs together diagram as how they would

move with lines together that draw what looks like a diagram for a

working machine.

- The trick

See the machine diagram? Make a pair move then see the machine diagram

again (figure out how they all move again).

How did the machine move? See how it's the same machine? See how other

pairs move differently now? Like it's the whole machine

moved, but without running?

Enjoy :)

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