Abstract
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 smaller than 1 - c, answering a question of Wlodek Kuperberg.
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