Symmetry-dependence in Rounding of a Convex Body

Zikai Xiong, Robert M. Freund

The symmetry measure of a convex body $S\subset {\mathbb{R}}^n$ is given by: $\mathrm{sym}(S):=\max \{\alpha \ge 0:\text{ there exists }x\in S\text{ such that }-\alpha (S-x)\subseteq S-x\}$, where…