  Austrian Solitaire is a variation of Bulgarian Solitaire. It may be described
as a card game, a method of asset inventory management, or a discrete dynamical
system on integer partitions. We prove that the limit cycles in Austrian
Solitaire do not depend on the initial configuration; in other words, each
state space is connected. We show that a full Farey sequence completely
characterizes these unique (and balanced) cycles.
