In one embodiment, a gaming system which may randomly generate a plurality of directional symbols. Each directional symbol may have an input direction and an output direction. The gaming system may analyze the generated directional symbols to determine whether any formed sets, chains or sequences of compatible directional symbols are associated with any awards. More specifically, the gaming system may determine whether to form any sets of compatible directional symbols based on if one or more input directions of one or more of the generated directional symbols are compatible with one or more output directions of one or more of the generated directional symbols. The gaming system then may determine and may provide a player an award based on one or more of any formed sets of compatible directional symbols.