Take a quick look at what game rules are and how they are different from standard chess rules. You can also find examples of how pieces can move in InCube Chess.

All pieces follow standard chess rules with addition of third dimention component. For example, bishop moves over diagonals not only in horizontal planes but also over vertical planes. Take a look at detailed examples below.

Pawn rules
Pawn moves forward in horizontal plane, diagonal plane and in vertical plane (up for whites and down for blacks). It can attack opponent pieces in each of allowed planes/directions using diagonals.
Bishop rules
Bishop moves in all planes using diagonals. Same way as in standard chess game, in InCube Chess bishop strikes using same rules as for moves.
Knight rules
Knight move rules are much different from all the other pieces. This makes it so powerful piece even if it can't move far. Basis of its move rules is normal chess moves that look like "r" character. This principle is extended to include other planes allowed in three dimensional game.
Rook rules
No surprise with rook moves. Normal chess moves extened to third dimension so that more planes are used. Attack can be performed same way as making a move.
Queen rules
Queen move rules is sum of moves of rook and bishop. This makes it most powerful piece in the cube.
King rules
King moves and strikes in all planes and directions on one move. This makes it least valuable piece from heavy pieces.
Castle - can be done if (a) both pieces participating castle have never moved (b) king is not under attack, (c) cells between king and rook are not under attack.
Setting queen - can be done when a pawn reaches opponent's base. Opponent's base is the line where opponent's heavy pieces located at the beginning of the game. Standard chess rules state, that any piece can be set on choice of pawn owner. This games sets only queens for number of reasons.