Monks to Sierpinski
Here are the first nine stages of a deterministic IFS whose attractor is the Sierpinski
Triangle, starting with a photo of my head for the initial figure. This illustrates the
fact that the attractor that an IFS converges to is independent of the choice of starting
figure.
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Starting figure:

First iteration:

Second iteration:

Third iteration:

Fourth iteration:

Fifth iteration:

Sixth iteration:

Seventh iteration:

Eighth iteration:
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