Fractals: Sierpinski’s Triangle

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Related

Math Curiosities →Math Art →Fractals →

Summary

What if this triangle pattern just kept repeating… forever!?

  1. Students learn to create their own Sierpinski Triangle by starting with an equilateral triangle.
  2. Then, they create [Sierpinski Carpets](https://en.wikipedia.org/wiki/Sierpiński_carpet) by starting with a square.
  3. Finally, they experiment with three-dimensional versions, perhaps creating a [Menger Sponge](https://en.wikipedia.org/wiki/Menger_sponge) using Lego or in Minecraft.

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