\begin{document}$ N=132 $\end{document}, \begin{document}$ N=134 $\end{document}, and \begin{document}$ N=136 $\end{document} isotones. Nuclear potential energy calculations within the multi-dimensional deformation spaces reveal that the tetrahedral deformation effects generally lead to deeper energy minima in most nuclei with \begin{document}$ N=134 $\end{document} and \begin{document}$ N=136 $\end{document}. Interestingly, in the nuclei \begin{document}$^{218}_{\;\;86}{\rm{Rn}}_{132} $\end{document}, \begin{document}$^{222}_{\;\;88}{\rm{Ra}}_{134} $\end{document}, and \begin{document}$^{222}_{\;\;86}{\rm{Rn}}_{136} $\end{document}, selected for the illustration of the studied effects, the influence of pear-shape octupole deformation is comparable to that of tetrahedral octupole deformation. Consequently, the coexistence of both kinds of octupole shapes is predicted by the potential energy calculations. In particular, we have reproduced the experimental results known for pear-shape rotational bands obtaining in this way an estimate of the quality of the modelling parametrisation. With the same Hamiltonian, we have predicted the properties of the tetrahedral symmetry rotational bands. To facilitate the possible experiment-theory cooperation we have derived the exact spin-parity tetrahedral-band structures by applying the standard methods of the group representation theory for the Td point-group."> Pear shape and tetrahedral shape competition in actinide nuclei -
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