  We investigate percolation on a randomly directed lattice, an intermediate
between standard percolation and directed percolation, focusing on the
isotropic case in which bonds on opposite directions occur with the same
probability. We derive exact results for the percolation threshold on planar
lattices, and present a conjecture for the value the percolation-threshold for
in any lattice. We also identify presumably universal critical exponents,
including a fractal dimension, associated with the strongly-connected
components both for planar and cubic lattices. These critical exponents are
different from those associated either with standard percolation or with
directed percolation.
