  Self-duality or matching between the magnetic and condensate characteristic
lengths is a fundamental property of isotropic superconductors at the critical
Bogomolnyi point (B-point). The self-dual state of the condensate is infinitely
degenerate, which is the core reason for the sharp transition between the
superconductivity types in the nearest vicinity of the critical temperature
T_c. Below T_c non-local interactions in the condensate remove the degeneracy,
which leads to the appearance of a finite intertype (IT) domain between types I
and II. This domain exhibits the mixed state with exotic field-condensate
configurations and non-standard magnetic response, which cannot be understood
within the dichotomy of the conventional superconductivity types. At a first
glance, this picture does not apply to an anisotropic system because no spatial
matching between the condensate and magnetic field can be generally expected
for direction-dependent characteristic lengths. However, contrary to these
expectations, here we demonstrate that anisotropic superconductors follow the
same scenario of the interchange between types I and II. In anisotropic
materials the IT domain is governed by the B-point of the effective isotropic
model obtained by the appropriate scaling transformation of the initial
anisotropic formalism. This transformation depends on the direction of the
applied magnetic field, and thus the superconductivity type of strongly
anisotropic materials can be dependent on this direction.
