Moves without the capture. White can move the king to any of the four squares with a white dot, or the camel to any square with a white cross. Black can move the bishop to any of the squares with a black cross (as well as the f4-square), the black pawn can move to either of the squares with a black dot.
Pawns move as pieces in checkers: they move, without taking, one square diagonally forward, but take by jumping two squares diagonally forward over an enemy piece to an empty square, thereby removing the enemy piece. Capturing of one or more pieces is mandatory.
Kings moves as a promoted checkers piece: this is the same type of move as a pawn in this game, but now the king can move and take also diagonally backwards. Capturing of one or more pieces is mandatory.
The bishop moves and takes exactly as in normal chess. Capturing is not mandatory.
The camel (Golomb called it the cook) has a kind of extended knight's move: it goes one diagonal and two straight. With this move, it can jump over other pieces (like a knight jumps), but the camel takes by moving to the square on which the enemy piece is located. Capturing is not mandatory.