Sierpinski triangle

A Sierpinski triangle or Sierpinski triangle gasket is a fractal resulting from doing the following:[1]

  • Start with an equilateral triangle.
  • Remove center part.
  • Do the same for the three largest equilateral triangles left in this one.

If this is done, the first few steps will look like this:

Sierpinski triangle evolution.svg

If this is done an infinite number of times, its area will be 0.

They can also be 3D:

Sierpinski pyramid.png

  • references

References

  1. "Cynthia Lanius' Fractals Unit: The Sierpinski Triangle". Math.rice.edu. Retrieved 2011-10-28. 


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