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The Chaos Game

The Chaos Game

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Page 1: The Chaos Game

The Chaos Game

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Do10

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Do10

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Do10

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Do50

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Do50

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Do10,000

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Do10,000

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The Sierpinski triangle

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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Why does this happen?

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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A fractal is a “self-similar” set

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Fractalina

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Fractal Quiz

How were each of the following fractals generated?

Number of vertices?Compression ratio?Rotations?

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Fractal icicle

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Fractal icicle

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Fractal icicle

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Fractal icicle

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Koch snowflake curve

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Koch snowflake curve

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Koch snowflake curve

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Koch snowflake curve

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Tough!

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Tough!

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Fractal Movies

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Quiz: How many vertices?

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Compression ratio?

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Any rotation here?

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Any rotation here?

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