Antipodal correlations and the texture (fractal lacunarity) in critical percolation clusters

The antipodal correlations between opposing sectors of large critical percolation clusters are negative, as expected, but vanish in the infinite size limit approximated by an inner square much smaller than the whole lattice but much larger than the nearest-neighbour distance. Antipodal correlations are a new numerical measure of fractal lacunarity, that is, of texture: zero correlation expressed that the lacunarity is neutral in percolation clusters.