Densest packings of typical convex sets are not lattice-like
Tóm tắt
We show that ifP is a convex polygon which has no parallel sides, then the densest packing of the plane with congruent copies ofP is not lattice-like. As a corollary we obtain that, in the sense of Baire categories, for most convex disks densest packing is not lattice-like.
Tài liệu tham khảo
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