Scaling behavior in very small percolation lattices

We examine the average cluster distribution as a function of lattice probability for a very small [Formula Presented] lattice and determine the scaling function of three-dimensional percolation. The behavior of the second moment, calculated from the average cluster distribution of [Formula Presented] and [Formula Presented] lattices, is compared to power-law behavior predicted by the scaling function. We also examine the finite-size scaling of the critical point and the size of the largest cluster at the critical point. This analysis leads to estimates of the critical exponent [Formula Presented] and the ratio of critical exponents [Formula Presented].