Timeline for Minimum bounding rectangle of symmetric convex bodies in the plane : is the ball the worst case
Current License: CC BY-SA 4.0
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| Nov 29, 2021 at 16:20 | comment | added | Guillaume Aubrun | It may not be related to your maximization problem, but let me point that the Banach-Mazur distance between the regular hexagon and the square is 3/2, which is the maximal value for a pair of centrally symmetric convex bodies. | |
| Nov 29, 2021 at 15:32 | comment | added | Gericault | Indeed thats a counterexample. The smallest rectangle enclosing the regular hexagon is $[-\sqrt{3}/2 ; \sqrt{3}/2] \times [-1;1]$ the area ratio is then $4/3$, while for the ball it is $4/\pi$. | |
| Nov 29, 2021 at 15:07 | history | edited | Gericault | CC BY-SA 4.0 |
added 8 characters in body
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| Nov 29, 2021 at 15:05 | comment | added | Guillaume Aubrun | Does this work for the regular hexagon? | |
| Nov 29, 2021 at 14:09 | history | asked | Gericault | CC BY-SA 4.0 |