Packing Cones and Their Negatives in Space

نویسندگان

  • Imre Bárány
  • Jirí Matousek
چکیده

Let C be a cone in R 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 R. 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.

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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 38  شماره 

صفحات  -

تاریخ انتشار 2007