  The first $3^-$ and $4^-$ states of $^{12}$C are studied in the present
container model, in which the shift parameter is introduced to break the parity
symmetry for projecting out the negative-parity states. Taking the limit as the
shift parameter approaches zero and by variational calculations for
one-deformed size parameter, the local energy minima are obtained for the $3^-$
and $4^-$ states. It is found that the obtained single THSR
(Tohsaki-Horiuchi-Schuck-R\"{o}pke) wave functions for $3^-$ and $4^-$ states
are 96% and 92% equivalent to the corresponding GCM wave functions,
respectively. The calculated intrinsic densities further show that these
negative-parity states of three clusters, different with the traditional
understanding of rigid triangle structure, are found to have nonlocalized
clustering structure in the two-dimensional container picture.
