Discrete self-similar fractals

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Discrete Self-Similar Fractals

Due to their complex, aperiodic nature, discrete self-similar fractals have provided an interesting set of infinite shapes to explore.

Sierpinski triangle
First 5 stages of the Sierpinski triangle
Sierpinski carpet
First 3 stages of the Sierpinski carpet
Example discrete self-similar fractals. For each, the generator is on the left, and subsequent stages are shown to the right.