A method of playing a game on a gaming machine is performed by placing a
wager on an underlying wagering game and playing the underlying wagering
game according to the rules of the underlying game. When a predetermined
event occurs in the underlying game, the player enters at least one bonus
game. The bonus game may have at least one event where a) an animated
event proceeds to a conclusion and an original bonus that increments or
decrements with the proceeding of that animated event, and b) using a
sequential set of displays to determine a number of spins to be used in a
bonus round and to determine a multiplication factor to be used in spins
to be used in the bonus round.