With so many complicated new rules, the remark "Other rules of this game are identical with rules of classical chess." is somehow funny.
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This is an extended bulldog chess game between @josephyossi and @Critica7. Since the game is played on an 12x8 board it will be unrated.
Game rules:
Board: 12 x 8 (see image below).
The pieces:
Witch (W) - The witch is transparent to friendly pieces, and she also makes all adjacent pieces (friend and foe) transparent to friendly pieces (but pieces are not transparent for the witch). The witch does not capture other pieces, but she can be captured. Although pieces are not transparent to the witch, she is very agile; she combines the movement of queen, knight, and can jump orthogonally and diagonally two squares. Transparency of a piece means that other pieces can move, attack, and capture right through the piece.
Zombie (Z) - Slides up to two squares in a rook's direction (cannot jump). The zombie can not capture pieces, but "scares" enemy pieces with fright instead. All enemy pieces within its attack range are frozen and cannot move. Pieces remain frozen until the zombie moves, is captured or blocked. A king may move into the line of attack from a piece immobilized by a zombie. Likewise, a king may move out of the range of an immobilized Time Thief safely.
Time Thief (TT) - The Time Thief moves like a Queen, but does not have a normal capture. The Time Thief has a special move that is done in 2 steps.
The Time Thief may not undo a move if the Time Thief was captured or if it is unable to capture the piece that moved after undoing the move.
Note that this means the Time Thief must "see" the piece before it moved.
From this it follows, that a King in reach of a Time Thief would put himself into check by moving away.
Hunter (H) - Moves as king when it does not capture. However it captures twelve squares as shown in diagram below:
Board Setup:
Note the position of Black's king and queen are switched compared to classical chess. This is so the additional pieces are of equal distance to each player's king and queen.
Castling:
The rules of castling are similar as in classical chess, however, with the board 12 squares wide, the king travels four squares rather than two. The rook finishes adjacent to the king. All squares between the king and the involved rook must be unoccupied, with the exception of the witch and pieces made transparent by the witch.
Conditional check:
Conditional check means the state where a King is attacked by enemy pieces, but after a piece would capture the king a friendly Time Thief could restore his King.
It is allowed to keep the King in conditional check, but only if restoring the king would not result in the king to be in check (the king is allowed to be put into conditional check again however).
After capture of the King, restoring the king with the Time Thief is obligatory.
Misc: Pawns play the same as in classical chess. Pawns can promote to queen, rook, bishop, knight in addition to witch, zombie, hunter and time thief. Promotions are unlimited (not restricted to pieces that have been captured).
Other rules of this game are identical with rules of classical chess.
@josephyossi plays White. Good luck!