Banach-Mazur distance between $P_5$ and $P_3$ is $d(P_5,P_3)=1+\frac{\sqrt5}2$ where $P_n$ is regular polygon in $n$ sides. What is the distance $d(P_n,P_k)$ in general case (closed form or approximate results?)?
Banach-Mazur distance between regular polygons
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