A slot machine includes a reel assembly which has a transparent outer reel and a translucent inner reel disposed coaxially within the outer reel. The outer and inner reels are provided with first exterior surfaces on their periphery, and with second exterior surfaces on their side surfaces. The outer and inner reels are driven independently by a respective motor. In performing a first game, the side surfaces are horizontal so that first outer symbols and first inner symbols carried on each of the first exterior surfaces may be observable. In performing a second game, the side surfaces are perpendicular so that second outer symbols and second inner symbols carried on each of the second exterior surfaces may be observable. Symbol combinations are produced by synthesizing the symbols on the outer reel and the symbols on the inner reel.