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In this paper, we generalize a previous result to higher dimension. We provethat uniformly 3-convex translating solitons of mean curvature flow in$\mathbb{R}^{n+1}$ which arise as blow up limit of embedded, mean convex meancurvature flow must have $SO(n-1)$ symmetry.

Rotational symmetry of uniformly 3-convex translating solitons of mean curvature flow in higher dimensions