Fractals: Sierpinski’s Triangle
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Objective
Students divide equilateral triangles over and over to create a Sierpinski Triangle.
Related! Calculate how many triangles there will be at any step.
Steps
- Students learn to create their own Sierpinski Triangle by starting with an equilateral triangle.
- Then, they create Sierpinski Carpets by starting with a square.
- Finally, they experiment with three-dimensional versions, perhaps creating a Menger Sponge using Lego or in Minecraft.
Resources
- Lego version of a Menger Sponge
- Minecraft Menger Sponge
- Stain Glass Menger Sponge
- MegaMenger An international collaborative mathematical fractal building project!
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