Dimension:
D = 1.892789
Formula:
log(8)/log(3)
Area Ratio:
(8/9)^3 = 70.2332%
Squares:
512
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About
The Sierpinski carpet is a plane fractal first described by Waclaw Sierpinski in 1916. It is constructed by recursively removing the central square from each remaining square, creating a self-similar pattern with a fractal dimension of log(8)/log(3) ≈ 1.893.