A fractal constructed by recursively removing the central ninth of each square. At each level, the carpet retains 8/9 of its squares but the self-similar structure has fractal dimension D = log(8)/log(3) ≈ 1.893.
D = log(8)/log(3) ≈ 1.8928 | At level L: 8L filled squares, each of size (1/3L)²