Asked by unowen
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A fractal pattern is created in a square, beginning with 9 identical squares arranged in a plus sign pattern. At each step, every blue square that borders blue on exactly one edge is replaced with the plus sign pattern from the first step.
As this pattern continues indefinitely, what fraction of the larger square is shaded blue:
5/27, 2/9, 7/27, 8/27???
and ds055uzetaobb<dot>cloudfront<dot>net/image_optimizer/8b43e0b9075d5c33c65862955d90fa767bb63dac.png
A fractal pattern is created in a square, beginning with 9 identical squares arranged in a plus sign pattern. At each step, every blue square that borders blue on exactly one edge is replaced with the plus sign pattern from the first step.
As this pattern continues indefinitely, what fraction of the larger square is shaded blue:
5/27, 2/9, 7/27, 8/27???
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