working machine
> > Anyone familiar with the idea of trying to describe a machine the way
> > it works?
> > like where it's being a machine working the way of having a loop with
> > the problem of being in
> > the middle and then to the outside as how the machine can move? so
> > like if you were to make it a machine
> > that does math the way it works it has machine parts that actually
> > move like the way the calculation is done?
> > so it moves like if this were to try and move as a real machine:
> > for (i = 0; i < 10; i++) {
> > if (i == 3) next;
> > };
> > so as a real machine though, that works the way that would have to as
> > a machine? a machine that can't be anything really working like gears
> > because of how to be in the middle of the loop is to go outside but
> > sometimes not is a problem the way something has to move.
> > so if that's to look like a real machine, it's not a machine that
> > turns around and around mechanically though, because in the middle is
> > back to the beginning. but sometimes through and back around. But it
> > actually has to move like a real machine though.
> > I think I know a way there is to describe a machine that works this
> > way...
> > say on a checkers board you have checker pieces, and say each checker
> > piece is paired with another.
> > now all checker pieces are pairs.
> > the way said, try to make one piece able to move... but you have to
> > move the other it's a pair with at the same time.
> > the board is full, there's no free spaces to move to.
> > so to make a piece move with it's paired piece, find where it can go
> > where there's another pair that can move, that pair can move where
> > another pair can move, and so on... where the last pair to move goes
> > where the first pair left.
> > each time you move a pair, they are not the same pair anymore once
> > they've moved, each of the pair is now a pair with the piece that
> > left
> > where they went to make a new pair of them. this is key in figuring
> > out the only way it can work so a piece can move at all.
> > so knowing no first move you can make because there isn't any
> > specific
> > move to know, find the pair to be able to move the way where they
> > move
> > to another pair where each of the pair is now another pair with the
> > one they move to, they move to a pair that's together. now first pair
> > to move to another pair, is now not the same pair, but each a pair
> > with each of the other pair.
> > so move and do that, but at the same time when you get a piece of the
> > first pair where it goes and the other pair moved, as a new pair now
> > it can't stay there because it has to move again because of how at
> > the
> > same time something is making the other of the pair move. right?
> > maybe
> > that part is hard to see. It's the only way to figure it can move in
> > any way at all.
> > so it's like the last move has to be known before the first move can
> > be made, because the first move that can be made is where something
> > can move next, but what can move next is what carries on to the last
> > move that can move where the first pair moved from. it's a recursive
> > type of problem to figure out how to move a pair.
> > where a pair can move is where it goes to another pair that at the
> > same time is moving away making an occupancy, but when you get there
> > and you're a new pair with the piece that moves from where you get
> > to,
> > it's not to think staying can work because now something needs the
> > pair you are now to move.
> > it's like so where you can never have it so you stop moving until all
> > the move is complete. but nowhere in the middle, or at first or last,
> > can you know how to make it work to move because the beginning is
> > like
> > knowing the end of how to move.
> > what's interesting though is how pairs that figure themselves to be
> > able to move are not all the pairs but some, but that some other
> > pairs
> > that figure out a way to move are the same pairs as others that
> > figure
> > out another way.
> > and each time a pair makes a move it's all the way to where the place
> > they leave has something come, but that had to be before you can move
> > in the first place in idea of the problem it is because that's where
> > something can move to finally get around to the last move where you
> > leave, but leave where you can because you find what comes where you
> > leave at first. each time a pair is moved depending on how moving
> > pairs are said together is to reorganize how pairs are together, but
> > to keep moving the same pairs is to find the same place they were in
> > to begin with but alot of other ways too depending on which of the
> > pairs together you try to move, if you say the pairs together are the
> > pairs that given one pair are the ones that move at the same time
> > too.
> > isn't it fair to call how they behave any machine?
> > there's a few things you can say like given how they're arranged pick
> > a few pairs for how they
working machine posture
> Anyone familiar with the idea of trying to describe a machine the way
> it works?
> like where it's being a machine working the way of having a loop with
> the problem of being in
> the middle and then to the outside as how the machine can move? so
> like if you were to make it a machine
> that does math the way it works it has machine parts that actually
> move like the way the calculation is done?
> so it moves like if this were to try and move as a real machine:
> for (i = 0; i < 10; i++) {
> if (i == 3) next;
> };
> so as a real machine though, that works the way that would have to as
> a machine? a machine that can't be anything really working like gears
> because of how to be in the middle of the loop is to go outside but
> sometimes not is a problem the way something has to move.
> so if that's to look like a real machine, it's not a machine that
> turns around and around mechanically though, because in the middle is
> back to the beginning. but sometimes through and back around. But it
> actually has to move like a real machine though.
> I think I know a way there is to describe a machine that works this
> way...
> say on a checkers board you have checker pieces, and say each checker
> piece is paired with another.
> now all checker pieces are pairs.
> the way said, try to make one piece able to move... but you have to
> move the other it's a pair with at the same time.
> the board is full, there's no free spaces to move to.
> so to make a piece move with it's paired piece, find where it can go
> where there's another pair that can move, that pair can move where
> another pair can move, and so on... where the last pair to move goes
> where the first pair left.
> each time you move a pair, they are not the same pair anymore once
> they've moved, each of the pair is now a pair with the piece that
> left
> where they went to make a new pair of them. this is key in figuring
> out the only way it can work so a piece can move at all.
> so knowing no first move you can make because there isn't any
> specific
> move to know, find the pair to be able to move the way where they
> move
> to another pair where each of the pair is now another pair with the
> one they move to, they move to a pair that's together. now first pair
> to move to another pair, is now not the same pair, but each a pair
> with each of the other pair.
> so move and do that, but at the same time when you get a piece of the
> first pair where it goes and the other pair moved, as a new pair now
> it can't stay there because it has to move again because of how at
> the
> same time something is making the other of the pair move. right?
> maybe
> that part is hard to see. It's the only way to figure it can move in
> any way at all.
> so it's like the last move has to be known before the first move can
> be made, because the first move that can be made is where something
> can move next, but what can move next is what carries on to the last
> move that can move where the first pair moved from. it's a recursive
> type of problem to figure out how to move a pair.
> where a pair can move is where it goes to another pair that at the
> same time is moving away making an occupancy, but when you get there
> and you're a new pair with the piece that moves from where you get
> to,
> it's not to think staying can work because now something needs the
> pair you are now to move.
> it's like so where you can never have it so you stop moving until all
> the move is complete. but nowhere in the middle, or at first or last,
> can you know how to make it work to move because the beginning is
> like
> knowing the end of how to move.
> what's interesting though is how pairs that figure themselves to be
> able to move are not all the pairs but some, but that some other
> pairs
> that figure out a way to move are the same pairs as others that
> figure
> out another way.
> and each time a pair makes a move it's all the way to where the place
> they leave has something come, but that had to be before you can move
> in the first place in idea of the problem it is because that's where
> something can move to finally get around to the last move where you
> leave, but leave where you can because you find what comes where you
> leave at first. each time a pair is moved depending on how moving
> pairs are said together is to reorganize how pairs are together, but
> to keep moving the same pairs is to find the same place they were in
> to begin with but alot of other ways too depending on which of the
> pairs together you try to move, if you say the pairs together are the
> pairs that given one pair are the ones that move at the same time
> too.
> isn't it fair to call how they behave any machine?
> there's a few things you can say like given how they're arranged pick
> a few pairs for how they're organized and see how every way you can
> move them makes a few more pairs reorganized for how you move them?
> it's like pairs can setup in any wa
real machine
- Moving pairs Given something like a checkers board, moving pairs would be checkers paired together and arranged on the board Given something like a checkers board, moving pairs are checker pieces said to be paired. The pairs don't have to be next to eachother. 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. They are the idea of how they move, and the problem with finding how to move them. - Moving a pair Find the pair to be what doesn't have any way to move. Each of the pair is to move together at the same time. A pair can only move to another pair. 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 a pair that moved to a pair not being a pair anymore, but both a pair with the pair that moved to another pair. 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, and left to move as a pair but became the new pair with the pair that goes where it's leaving from. 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. 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 whre it's going. Each time a pair is moved, all the pairs involved in moving are alternated as new pairs. 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 discovered before the first pair to move has a place to move. The answer to how to make a pair move is to find how to move the pair, that goes to another pair and becomes a new pair, and carries on until a pair goes back where the first pair left. That's to even know the first place a pair can 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. - Moving pairs are a machine They can be arranged in any way so that the movement of a few pairs makes for the movement of a few other in any way. 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 answer to 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. - Machine diagram See each pair for how it can be moved with the other pairs that move together. Draw pairs that move together with a line, or say one piece moves to another piece. Say for each group of pairs that move together. - The trick See the machine diagram? Make a pair move then see the machine diagram again. How did the machine move? Enjoy :)
expressing a working machine
- 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. 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. and now each 44 and 55 are a new pair. at the same time 55 55 moved to 66 66, so where 66 and 66 is at there's one of the new pair from 44 44 and 55 55. and at the same time can 66 66 move to 44 44 ? 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 make is what can go where the first pair left. - 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 machi
machine figure
Say pieces on a board, make each a pair with another piece. like... |55|44|66| |44|66|55| so figure out how a piece can move. pick any piece, try to move it somewhere. when you move a piece you have to move it's pair at the same time. when you move to a piece it's pair has to move at the same time too. a piece always becomes a pair with the piece it moves to. no matter how many pairs, there's only one answer to how a piece can move. A common problem, I forget what it's called. There's only one answer for how any piece can move, another piece has to move where the piece left. No piece can move to where a piece moves from. No such thing as a free space, a piece always moves to another piece. A pair never moves to a pair. so try this... draw for each piece a line from one piece to another that connects each piece to move from the first piece until the last piece that goes back where it starts. see this as a machine diagram. move a piece then figure the machine diagram again.
machine figure (re)
can't a machine always be seen where every part of the machine is one way, for another part to be one way? i mean... say you can take a bunch of parts and have it so each part has only one way to be. then parts can be together, where they fit the way that each part can only be one way for the way another part is. imaginarily ... can't they always fit together to say a machine? like.. if I say a few parts mean a number, and a few other parts mean another number, and parts between the numbers fit them together, with another part that fits like it's something about the two numbers. so for everyway that a number part is, is for the other part like how the other parts are, for another part that fits how the numbers are together. so each part fits exactly like how the two numbers fit together with parts and another part that has something about the numbers, so that the way the numbers are is the way the other parts are, is the way there's something about the numbers... so if i move a part, which way do i move another part? think about that... what if a part is taken off and i try to fit another part? how do i make it fit the other part? but what happens to how the number parts fit if i have to make all parts fitting? can't parts always come together so for the way a few parts are, are for the way a few other parts are? can't parts together like this always say a machine?
machine cheat
Say pieces on a board, make each piece a pair with another piece. like... |55|33|66| |44|66|55| |33|44|22| |22|11|11| a piece can only be figured out to move one way... pick any piece, try to move it somewhere... have the chosen piece move to another piece, it moves there and makes the other piece have to move too. when a piece is moved to another piece, it becomes a pair with the piece it moves to. any piece that is moved has to have it's pair move at the same time. any piece to move to another piece is a piece that moved at the same time as it's pair, and moved to another piece that moved at the same time as it's pair too. A piece that moves to another piece becomes a pair with it, and the other of the pair has moved to become a pair with another piece. try anyway, works in one way where a piece can move back to the piece to move first. A common type of problem, I forget what it's called. A piece always goes where a piece leaves, the first piece has the last piece go where it left. You can't move a piece that moves where the piece came from. There is no such thing as a free space, a piece always moves to another piece. A pair never moves to a pair. A piece works out to move where another piece can get back to where a piece moves from. The last move has to be known for the first move to be made, because the first move can't be understood until the last move is. That's because the first move is where a piece moves to and it works around to the last move, and the last move is where a piece can work getting to from the first move. so try this... draw starting at each piece a line that shows the piece it moves to, and each piece to move for how a piece moves back where it starts. see this as a machine diagram. move a piece then figure the machine diagram again, it's the same machine though... see how every other piece moves another way now? what happened for how the machine moved? _how did the machine move though_
