Are there any arrangements of stones that are:
- legal, because all groups have at least one liberty, yet
- impossible, because no sequence of moves could possibly result in such an arrangement.
I'm definitely not looking for illegal arrangements where a group exists without any liberties, like this:
$$ +-------- $$ | X X O . $$ | X O . . $$ | O . . . $$ | . . . .
(By the way, what I'm looking for is the same concept as a Garden of Eden in Conway's Game of Life.)