  Using a recently developed method to simulate percolation on large clusters
of distributed machines [N. R. Moloney and G. Pruessner, Phys. Rev. E 67,
037701 (2003)], we have numerically calculated crossing, spanning and wrapping
probabilities in two-dimensional site and bond percolation with exceptional
accuracy. Our results are fully consistent with predictions from Conformal
Field Theory. We present many new results that await theoretical explanation,
particularly for wrapping clusters on a cylinder. We therefore provide possibly
the most up-to-date reference for theoreticians working on crossing, spanning
and wrapping probabilities in two-dimensional percolation.
