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Biographies
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The area of a Sierpinski triangle is zero this can be seen from the infinite iteration, where we remove 25% of the area left at the previous iteration. (Paul W. K. Rothemund, Nick Papadakis, and Erik Winfree) Another one of his contributions was the Sierpinski numbers.
Another contribution he made was to the number theory...
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A Sierpinski number is a positive, odd integer k for which the integer's k*2n+1 are all composite, that is, for every positive integer n. In 1960 Sierpinski shoed that there were infinitely many such numbers k but he did not explicitly give a numerical example. (Sierpinski, 1972) The congruencies provided a sufficient, but not necessary, condition for an integer to be a Sierpinski number...
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