Abstract: Device for manufacturing game pieces and generating movement sequences to be used in a game of chance with a predetermined number of winners. The device includes a printing machine, a computer processor, readable and writeable memory means incorporating a plurality of registers, and a plurality of communication-links. The printing machine prints a start column, an end column, a number of parts, each part comprising a director area, and director patterns on each game piece. The computer processor is configured to obtain game piece manufacturing data incorporating numbers representing maximum vertical differences between the start and end positions of each part. Also, the processor generates one list of director areas for each part, the director areas comprising a director pattern, and sorts the lists so that director patterns resulting in small vertical differences between the start and end positions of each part are arranged to be placed first.

Abstract: Device for manufacturing game pieces and generating movement sequences to be used in a game of chance with a predetermined number of winners. The device includes a printing machine, a computer processor, readable and writeable memory means incorporating a plurality of registers, and a plurality of communication links. The printing machine prints a start column, an end column, a number of parts, each part comprising a director area, and director patterns on each game piece. The computer processor is configured to obtain game piece manufacturing data incorporating numbers representing maximum vertical differences between the start and end positions of each part. Also, the processor generates one list of director areas for each part, the director areas comprising a director pattern, and sorts the lists so that director patterns resulting in small vertical differences between the start and end positions of each part are arranged to be placed first.

Abstract: The invention is directed to a system and a method for generating game pieces and movement sequences. The game pieces are used in a game of chance having a predetermined number of winners with respect to the movement sequences. By way of moves determined by randomly selected movement sequences, a player's marker is directed from a start position to an end position on a game piece. The method involves selecting the vertical difference (number of grid sections) between the start and end positions on the game piece, dividing the game pieces into parts and preferably randomly generating a series of marker moves for each part of the game piece. The series of marker moves, when applied to a game piece, results in a player's marker traveling from the start position to the end position. The system includes a computer arranged to generate and store the series of marker moves which, when applied to a game piece, causes the player's marker to travel from the start position to the end position.