100 years with the Sierpinski triangle

2015 is the 100th anniversary of the Sierpinski triangle, first described by Wacław Sierpiński, a Polish mathematician who published 724 papers and 50 books during his lifetime! The famous triangle is easily constructed by following these steps:

  • Start with an equilateral triangle.
  • Divide that triangle into four equilateral triangles and remove the one in the centre.
  • Repeat the same steps with the remaining triangles, dividing each one into four triangles and removing the one in the centre.

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