The paper derives exact Euclidean distortion values for several orbit spaces, including cyclic quotients of C^n, seven wallpaper group quotients, and two-sided bounds for O(r), SO(r), E(r), and SE(r) actions.
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Estimating the Euclidean distortion of an orbit space
The paper derives exact Euclidean distortion values for several orbit spaces, including cyclic quotients of C^n, seven wallpaper group quotients, and two-sided bounds for O(r), SO(r), E(r), and SE(r) actions.