SOLVED:The Sierpinski carpet is constructed by removing the enter one-ninth of a square of side 1, then removing the centers of the eight smaller remaining squares, and so on. (The figure shows the first three steps of the construction.) Show that the sum of the areas of the removed squares is 1 . This implies that the Sierpinski carpet has area 0 .
SOLVED:The Sierpinski carpet is constructed by removing the ente…
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