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May 13, 2021 at 13:35 comment added Daniel Sebald Allowing for nonconvex polytopes, there are even uniform examples in (at least) 7D and 8D.
Jan 7, 2021 at 13:55 vote accept M. Winter
Jan 7, 2021 at 13:43 comment added M. Winter This is amazing! Thank your for this answer. I had already mentally excluded the possibility that I could have overlooked an example in dimension three.
Jan 7, 2021 at 0:07 history bounty ended M. Winter
Jan 7, 2021 at 0:07 vote accept M. Winter
Jan 7, 2021 at 13:55
Jan 6, 2021 at 14:43 history answered Guillaume Aubrun CC BY-SA 4.0