Abstract: A wall constructing tile game for a number of players utilizes a set of tiles having a shape suitable to enable them to be stably placed on a substantially flat playing support surface, to enable at least one to be stably placed on top of another tile, and to enable the player to place one edge of one tile against one edge of another tile thereby establishing a directional relationship between the tiles, the set of tiles being separated into a plurality of identifiable sub-categories of tiles. The rules of the game require players to construct a wall using tiles, each player randomly selecting a pre-determined number of tiles from the sub-category of "tower tiles" and a predetermined number from another sub-category of "wall tiles" of a number of suits, each suit having a sequence.