A gaming system selects and displays one of a plurality of symbol blocks in each of a plurality of block positions, wherein each of the selected blocks includes at least one partial symbol. Each partial symbol has at least one complementary partial symbol which, when arranged in a designated spatial relationship with one another, form a complete matching symbol. If any of the partial symbols on the selected blocks create a complete matching symbol, the gaming system provides at least one award to the player. Each matching block which includes any portion of a complete matching symbol is then removed, creating an empty block position. The gaming system then fills the empty block position by either shifting a displayed block into the empty block position or by selecting a new block. The gaming system repeats this process until no complete matching symbols are formed.