  The short- and long-scale behaviour of tangled wave vortices (nodal lines) in
random three-dimensional wave fields is studied via computer experiment. The
zero lines are tracked in numerical simulations of periodic superpositions of
three-dimensional complex plane waves. The probability distribution of local
geometric quantities such as curvature and torsion are compared to previous
analytical and new Monte Carlo results from the isotropic Gaussian random wave
model. We further examine the scaling and self-similarity of tangled wave
vortex lines individually and in the bulk, drawing comparisons with other
physical systems of tangled filaments.
