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DCG
2007

Packing Cones and Their Negatives in Space

8 years 5 months ago
Packing Cones and Their Negatives in Space
Let C be a cone in R3 whose base B is a planar convex body in a horizontal plane π and whose tip is a point v /∈ π. Let C be a packing formed by translates of C and −C in R3 . We exhibit an explicit constant c > 0 such that the density of any such C is is smaller than 1−c, answering a question of Wlodek Kuperberg.
Imre Bárány, Jirí Matousek
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where DCG
Authors Imre Bárány, Jirí Matousek
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