Fractals: Sierpinski’s Triangle

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Students divide equilateral triangles over and over to create a Sierpinski Triangle.

Related! Calculate how many triangles there will be at any step.


  1. Students learn to create their own Sierpinski Triangle by starting with an equilateral triangle.
  2. Then, they create Sierpinski Carpets by starting with a square.
  3. Finally, they experiment with three-dimensional versions, perhaps creating a Menger Sponge using Lego or in Minecraft.


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