  The superconductors with the Ginzburg-Landau (G-L) parameter ($\kappa$)
$\sim1/\sqrt{2}$ exist near a critical Bogolomonyi (B) point where they show
inter-type domains between type-I and type-II superconductivity. While such
physics is well understood for isotropic superconductors, the experimental
investigation of the physics of anisotropic superconductors near a critical
B-point remains an unattained goal mainly due to the unavailability of model
material systems. Theoretically, such superconductors are expected to show
type-I or type-II behaviour for definite directions of an applied magnetic
field. Here, from directional point-contact Andreev reflection spectroscopy and
field-angle dependent ac magnetic susceptibility measurements, we show that
ZrB$_{12}$ is an anisotropic superconductor, and it exhibits field-direction
dependent type-I and type-II behaviour. These observations match remarkably
well with the theoretical expectations for an anisotropic superconductor near a
critical B-point. Therefore, our results project ZrB$_{12}$ as a model material
system where the physics of inter-type anisotropic superconductivity can be
explored experimentally.
