cylindrical (moving off one side of the board wraps to the other), z crooked (moving in a zigzag line like the boyscout), q circular movement (like the rose), and then (for pieces that start moving in one direction and then continue in another, like the gryphon). In addition, Betza has also suggested adding brackets to his notation: q[WF]q[FW] would be a circular king, which can move from e4 to f5 (first the ferz move) then g5, h4, h3, g2, f2, e3, and back to e4, effectively passing a turn, and could also start from e4 to f4 (first the wazir move) then g5, g6, f7, e7, d6, d5, and back to e4. Example: The standard chess pawn can be described as mfWcfF (ignoring the initial double move). There is no standard order of the components and modifiers. Betza often plays with the order to create somehow pronounceable piece names and artistic word play. Note that this table is a special case of the Cartesian coordinate plane, where the Origin is always the current location of the piece about to move. Addition to Betza's notation ('XBetza') Betza does not use the small letter i. It is used here for initial in the description of the different types of pawns. The letter a is used here to describe again, indicating the piece can make the move on which it is prefixed multiple times, possibly with new modifiers mentioned behind the a, which then apply to the second 'leg' of the move. Directional specifications for such a continuation step should be interpreted relative to the first step (e.g. aW is a two-step orthogonal move that can change direction; afW is a two-step orthogonal move that must continue the same direction). To handle some frequently encountered special moves, e can be used next to m and c to indicate en-passant capture, i.e. capture of the piece that just made a move with i & n modifier, by moving to the square where the n implies it could have been blocked. (This makes the full description of the FIDE pawn mfWcefFimfnD.) An O with a range specifier is used to indicate castling with the furthest piece in that direction in the initial setup, the range indicating the number of squares the king moves (orthodox castling: ismO2). XBetza overloads some modifiers, by giving them an alternative meaning where the original meaning makes no sense. E.g. i