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(A question about)${}^3$ 3-dimensional convex bodies

Related to the questions mathoverflow.net question No. 137850 and mathoverflow.net question No. 39127, is there a 3-dimensional convex body other than a ball whose perpendicular projections in all directions are of the same area?

mg.metric-geometry convex-geometry

asked Aug 4, 2013 at 14:47

Wlodek Kuperberg

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