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The dodecaboride LuB$_{12}$ with cage-glass state and rattling modes has beenstudied to clarify the nature of the large amplitude vibrations of Lu ions.Discovered anisotropy of charge transport in conjunction with distortions ofthe conventional \textit{fcc} symmetry of the crystal lattice may be attributedto coherent motion of Lu ions along singular direction in the lattice.Arguments are presented in favor of cooperative dynamic Jahn-Teller effect inthe boron sublattice to be the reason of the rattling mode, lattice distortionand formation of the filamentary structure of the conductive channels.

Rattling mode and symmetry lowering resulting from instability of B$_{12}$-molecule in LuB$_{12}$