12-15-2020, 09:50 AM
I can send examples when I get time with my computer. Here is a (uncomputable) definition in the meantime:
If we think of the playing area as an infinite group of orthognally connected empty sites, a piece is inside a loop if it is not part of a unicolored orthogonally connected group that includes a piece that is adjacent to an empty site belonging to an infinite orthognally connected group of empty sites :)
Or slightly differently put: A piece is inside a loop if you can't trace a unicolored orthogonal path from it to a piece orthogonally adjacent to an empty site belonging to an infinite orthogonally connected group of empty sites.
If we think of the playing area as an infinite group of orthognally connected empty sites, a piece is inside a loop if it is not part of a unicolored orthogonally connected group that includes a piece that is adjacent to an empty site belonging to an infinite orthognally connected group of empty sites :)
Or slightly differently put: A piece is inside a loop if you can't trace a unicolored orthogonal path from it to a piece orthogonally adjacent to an empty site belonging to an infinite orthogonally connected group of empty sites.