  The generation of isotropic vortex configurations in trapped atomic
Bose-Einstein condensates offers a platform to elucidate quantum turbulence on
mesoscopic scales. We demonstrate that a laser-induced obstacle moving in a
figure-eight path within the condensate provides a simple and effective means
to generate an isotropic three-dimensional vortex tangle due to its minimal net
transfer of angular momentum to the condensate. Our characterisation of vortex
structures and their isotropy is based on projected vortex lengths and velocity
statistics obtained numerically via the Gross-Pitaevskii equation. Our
methodology provides a possible experimental route for generating and
characterising vortex tangles and quantum turbulence in atomic Bose-Einstein
condensates.
