Sierpinski triangle

fractal composed of triangles

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:

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

They can also be 3D:

References change

  1. "Cynthia Lanius' Fractals Unit: The Sierpinski Triangle". Archived from the original on 2011-10-30. Retrieved 2011-10-28.