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Sierpiński carpet

The Sierpiński carpet is a fractal because of the endless repetition of self-similar patterns.

 


Explanation

Exactly from the middle of a square another square is removed that is one-ninth part of the plane. This procedure is then repeated in each of the remaining eight squares. This can be repeated infinitely.

step 0   step 1   step 2   step 3   step 4

 


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