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Jan 19, 2022 at 10:29 vote accept Nandakumar R
Jan 19, 2022 at 10:29
Jul 27, 2021 at 18:10 comment added Nandakumar R I had only thought of convex bodies, even in 2D. But the example with those 'hourglass' nonconvex shapes is interesting!
Jul 27, 2021 at 2:44 comment added Yoav Kallus For reflection symmetric convex planar shapes, I would guess at least one of these pentagon tilings is a counter example: commons.wikimedia.org/wiki/File:P5-type4_p4g.png commons.wikimedia.org/wiki/File:P5-type3_p3m1.png commons.wikimedia.org/wiki/File:P5-type5_p6m.png
Jul 26, 2021 at 19:17 history answered RavenclawPrefect CC BY-SA 4.0