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This is an interactive demonstration of the dynamical system called Chaos game. This game is "played" by following rules:

By repeating steps 3 and 4, you will get a set of points {P0, P1, P2, ...} which is called orbit. What is interesting about this game, is that no matter what point you pick in the second step, you will get "the same" picture after enough iterations.

In this demonstration, all points are treated as complex numbers. Also, the parameter λ is a complex number. By varying the parameter λ we can get more interesting pictures.

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