  We discuss the predictions of the large scale calculations using the
realistic realisation of the phenomenological nuclear mean-field theory.
Calculations indicate that certain Zirconium nuclei are tetrahedral-symmetric
in their ground-states. After a short overview of the research of the nuclear
tetrahedral symmetry in the past we analyse the predictive capacities of the
method and focus on the $^{96}$Zr nucleus expected to be tetrahedral in its
ground-state.
