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Charged-pion-interferometry measurements were made with respect to the2$^{\rm nd}$- and 3$^{\rm rd}$-order event plane for Au$+$Au collisions at$\sqrt{s_{_{NN}}}=200$ GeV. A strong azimuthal-angle dependence of theextracted Gaussian-source radii was observed with respect to both the 2$^{\rmnd}$- and 3$^{\rm rd}$-order event planes. The results for the 2$^{\rmnd}$-order dependence indicate that the initial eccentricity is reduced duringthe medium evolution, but not reversed in the final state, which is consistentwith previous results. In contrast, the results for the 3$^{\rm rd}$-orderdependence indicate that the initial triangular shape is significantly reducedand potentially reversed by the end of the medium evolution, and that the3$^{\rm rd}$-order oscillations are largely dominated by the dynamical effectsfrom triangular flow.

Azimuthal-angle dependence of charged-pion-interferometry measurements  with respect to 2$^{\rm nd}$- and $3^{\rm rd}$-order event planes in Au$+$Au  collisions at $\sqrt{s_{_{NN}}}=200$ GeV