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One idea of chess with incomplete inforation just came in my mind. I think,
it must be discussed, and i must find out if something alike has already
been invented.
As in Kriegspiel, part of the board is invisible, but the only part, wich
is behind "walls" - special objects between squares. Square can be seen
if straight line between it's center and center of any square with frindly
piece don't cross such wall.
Probably, such variant must have big board and setup phase. And it may have
non-capturing pieces, that acts as walls, that would be located along the
borders of it's square. For sake of realism, these pieces are better not
being able to move themselfs, but being somehow pushed by other pieces, and
they must be "blind" (squares, that would be seen if it where usual
piece, are still hidden).
Walls are not obstackles for knights, walls simply blocks orthogonal moves,
and diagonal moves can be blocked with two perpendicular walls. These rules
must be more specified if game have riders or hoppers, but there are two
ways to avoid these these complicacies: no walls between squares, all walls
are unmovable just pieces; second way is variant, where walls don't affect
movement at all, they only makes part of the board invisible.
Another one variant - play without special walls or "wall pieces", but
all usual pieces acts as these "wall pieces". That is, if standart chess
is played with this rules, only opponent's pawns are seen from starting
position. Probably, it's interesting to use this rule for multiplayer
variants.