\begin{document}$ ^{81}_{\; \Lambda} $\end{document}Zr using the multidimensionally constrained relativistic Hartree-Bogoliubov model. The ground states of both 80Zr and \begin{document}$ ^{81}_{\; \Lambda} $\end{document}Zr exhibit a tetrahedral configuration, accompanied by prolate and axial-octupole shaped isomers. Our calculations reveal that there are changes in the deformation parameters \begin{document}$ \beta_{20} $\end{document}, \begin{document}$ \beta_{30} $\end{document}, and \begin{document}$ \beta_{32} $\end{document} upon Λ binding to 80Zr, except for \begin{document}$ \beta_{32} $\end{document} when Λ occupies p-orbits. Compared to the two shape isomers, the Λ particle exhibits weaker binding energy in the tetrahedral state when occupying the \begin{document}$ 1/2^+[000](\Lambda_s) $\end{document} or \begin{document}$ 1/2^-[110] $\end{document} single-particle state. In contrast, the strongest binding occurs for the Λ particle in the \begin{document}$ 1/2^-[101] $\end{document} state with tetrahedral shape. Besides, a large Λ separation energy may not necessarily correlate with a significant overlap between the density distributions of the Λ particle and nuclear core, particularly for tetrahedral hypernuclei."> Tetrahedral shape and Lambda impurity effect in <sup>80</sup>Zr with a multidimensionally constrained relativistic Hartree-Bogoliubov model -
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