  Our results concern quantum chaos of the vacuum Bianchi IX model. We apply
the equilateral triangle potential well approximation to the potential of the
Bianchi IX model to solve the eigenvalue problem for the physical Hamiltonian.
Such approximation is well satisfied in vicinity of the cosmic singularity.
Level spacing distribution of the eigenvalues is studied with and without
applying the unfolding procedure. In both cases, the obtained distributions are
qualitatively described by Brody's distribution with the parameter
$\beta\approx0.3$, revealing some sort of the level repulsion. The observed
repulsion may reflect chaotic nature of the classical dynamics of the Bianchi
IX universe. However, full understanding of this effects will require
examination of the Bianchi IX model with the exact potential.
