For every regular polygon, is there a norm such that the polygon is it's unit ball centered on 0?
2026-04-07 02:05:00.1775527500
Is every regular polygon the unit ball for some norm?
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Since $\|-x\|=\|x\|$, this cetainly fails for odd-gons. -- Hagen von Eitzen
On the other hand, it holds for even number of sides. See Minkowski functional.