  Three-dimensional three-colour percolation on a lattice made of tetrahedra is
a direct generalization of two-dimensional two-colour percolation on the
triangular lattice. The interfaces between one-colour clusters are made of
bicolour surfaces and tricolour non-intersecting and non-self-intersecting
curves. Because of the three-dimensional space, these curves describe knots and
links. The present paper presents a construction of such random knots using
particular boundary conditions and a numerical study of some invariants of the
knots. The results are sources of precise conjectures about the limit law of
the Alexander polynomial of the random knots.
