In a mathematical based board game apparatus for at least two players having a matrix grid game board containing a playing area defined by a plurality of grid units each capable of containing a game playing piece therein for covering said grid unit in which logical deployment of a plurality of said game playing pieces by said players during alternating designated turns to completely cover all of said grid units defining said playing area determines the winner of the game;
- the improvement comprising
- a plurality of different configuration overlays for said game board for varying the size and configuration of the playing area from game to game, each of said overlays exposing a different size and configuration playing area when overlaid on said underlying matrix grid game board for initially varying the complexity of each game to be played in accordance with the resultant exposed playing area;
- a plurality of blocking pieces deployable by each of said players prior to the playing of the game for further defining said resultant exposed game playing area configuration and size, each of said blocking pieces capable of covering a single previously uncovered grid unit on said matrix grid game board resultant exposed playing area for creating strategic deployments of uncovered grid units defining an ultimate game playing area for a single game, said blocking pieces covering a previously exposed uncovered grid unit in said resultant exposed playing area and preventing its use by any of said players during the playing of said single game, each of said players having a predetermined quantity of deployable blocking pieces;
- a first plurality of exclusive connective game playing pieces for a first player, said first player exclusive connective game playing pieces only being deployable in the uncovered grid units in said defined ultimate game playing area for said single game by said first player prior to the playing of said single game for establishing exclusive link nodes for said first player usable during the playing of said single game for enabling the formation during said first player's turn of a move pattern by said first player including said grid unit covered by one of said first player exclusive connective pieces while preventing said second player from using said first player exclusive connective piece covered grid unit as a link node, said first player having a predetermined quantity of deployable exclusive connective pieces;
- a second plurality of exclusive connective game playing pieces for a second player, said second player exclusive connective game playing pieces only being deployable in the uncovered grid units in said defined ultimate game playing area for said single game by said second player during alternating turns with said first player prior to the playing of said single game for establishing exclusive link nodes for said second player usable during the playing of said single game for enabling the formation during said second player's turn of a move pattern by said second player including said grid unit covered by one of said second player exclusive connective pieces while preventing said first player from using said second player exclusive connective piece covered grid unit as a link node, said second player having a predetermined quantity of deployable exclusive connective pieces;
- a first plurality of regular game playing pieces for said first player, said first player regular game playing pieces only being deployable by said first player in the uncovered grid units in said ultimate defined playing area for said single game on each of said first player's designated turns during the playing of said single game for either covering a single uncovered grid unit in said ultimate game playing area during one of said turns or for forming any one of a plurality of different move patterns comprising at least an adjacent portion of said first plurality of regular game playing pieces for covering an equal plurality of adjacent uncovered grid units in said ultimate game playing area during one of said turns dependent on the portion of said uncovered ultimate game playing area said first player intends to cover on a given one of said first player's designated turns, at least one of said move patterns formable by said first player capable of comprising at least one of said first player exclusive link nodes;
- and
- a second plurality of regular game playing pieces for said second player, said second player regular game playing pieces only being deployable by said second player in the uncovered grid units in said ultimate defined playing area for said single game on each of said second player's designated turns during the playing of said single for either covering a single uncovered grid unit in said ultimate game playing area during one of said turns or for forming any one of a plurality of different move patters comprising at least an adjacent portion of said second plurality of regular game playing pieces for covering an equal plurality of adjacent uncovered grid units in said ultimate game playing area during one of said turns dependent on the portion of said uncovered ultimate game playing area said second player intends to cover on a given one of said second player's designated turns, at least one of said move patterns formable by said second player capable of comprising at least one of said second player exclusive link nodes, whereby each player may initially deploy blocking pieces to define said ultimate game playing area as well as deploy connective pieces dependent on mathematical based strategy and thereafter deploy regular game playing pieces until said ultimate game playing area grid units are completely covered whereupon the winner is determined.