Another puzzle

[jason_t]

Here's a two-way infinite chessboard with a blue dot in its lower left corner.


The board streches infinitely far up, and infinitely far to the right.

The idea is to obtain a configuration with no blue dots behind the bold black line. You move pieces as follows. If a square with a blue dot in it has the square above it and to the right of it free of blue dots, then you can remove the blue dot from the original square and place blue dots in the squares above and to the right of the original square. Therefore



becomes



Your goal is to make such moves over and over to free the region behind the bold line of blue dots.

[mostsmooth]

ok, now what?

[jason_t]

[ QUOTE ]

ok, now what?

[/ QUOTE ]

?

[mostsmooth]

[ QUOTE ]
[ QUOTE ]

ok, now what?

[/ QUOTE ]

?

[/ QUOTE ]
so i did that
is that the end of the puzzle? or what do you want to know?

[jason_t]

[ QUOTE ]

so i did that
is that the end of the puzzle? or what do you want to know?

[/ QUOTE ]

You did what?

[mostsmooth]

removed the blue dots?

[jason_t]

[ QUOTE ]

removed the blue dots?

[/ QUOTE ]

Show it.

[mostsmooth]

at least i think i did, theoretically
im not going to go through the whole process manually, and imnot smart enough to figure out if theres an easy math answer

[jason_t]

[ QUOTE ]
at least i think i did, theoretically

[/ QUOTE ]

"In theory there is no difference between theory and practice. In practice there is."

[Duke]

If you make the wrong moves you trap dots at the lower right.

~D