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Nov 19, 2015 at 18:02 history edited user9072
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Nov 19, 2015 at 16:46 vote accept TOM
Nov 19, 2015 at 16:43 comment added TOM What I meant by minimizing the volume of $A_t$ was indeed minimizing with respect to all sets $A$ of fixed given volume (this was said in the first paragraph).
Nov 19, 2015 at 15:58 answer added Anton Petrunin timeline score: 8
Nov 19, 2015 at 15:40 comment added Per Alexandersson What do you mean by minimizing the volume? Minimize with respect to the volume of $A$? Or, you mean that $A_t$ is made minimal by a ball, for all sets $A$ with a fixed volume? I guess the latter makes the most sense. Some other comments: Start with a lattice in the plane, and explore. What if you take the triangular lattice instead, or the hexagonal?
Nov 19, 2015 at 15:24 history asked TOM CC BY-SA 3.0