. . "Discrete and Computational Geometry" . "11320" . "Let C be a cone in 3-space whose base B is a planar convex body in a horizontal plane. We consider a packing formed by translates of C and -C. We exhibit an explicit constant c>0 such that the density of any such packing is is smaller than 1-c, answering a question of Wlodek Kuperberg." . "Bu\u010F C ku\u017Eel v 3-dimenzion\u00E1ln\u00EDm prostoru, jeho\u017E z\u00E1kladna je konvexn\u00ED obrazec ve vodorovn\u00E9 rovin\u011B. Uva\u017Euj\u00ED se pakov\u00E1n\u00ED posunut\u00FDch kopi\u00ED C a -C. Dokazuje se, \u017Ee ka\u017Ed\u00E9 takov\u00E9 pakov\u00E1n\u00ED m\u00E1 hustotu nejv\u00FD\u0161 1-c, kde c>0 je explicitn\u00ED konstanta. To \u0159e\u0161\u00ED ot\u00EDzku W. Kuperberga."@cs . "11"^^ . . . "440441" . . . "Matou\u0161ek, Ji\u0159\u00ED" . "38" . "2"^^ . . "1"^^ . . "Packing; cones; their; negatives; space"@en . "177;187" . . . . "Pakov\u00E1n\u00ED ku\u017Eel\u016F a jejich zrcadlov\u00FDch obraz\u016F v prostoru"@cs . . "P(1M0545), Z(MSM0021620838)" . "Packing cones and their negatives in space" . . . "2" . . . "[1E6B850BAA33]" . . "Packing cones and their negatives in space"@en . "Packing cones and their negatives in space" . . "Let C be a cone in 3-space whose base B is a planar convex body in a horizontal plane. We consider a packing formed by translates of C and -C. We exhibit an explicit constant c>0 such that the density of any such packing is is smaller than 1-c, answering a question of Wlodek Kuperberg."@en . "RIV/00216208:11320/07:00004035!RIV08-MSM-11320___" . . "Pakov\u00E1n\u00ED ku\u017Eel\u016F a jejich zrcadlov\u00FDch obraz\u016F v prostoru"@cs . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "0179-5376" . "RIV/00216208:11320/07:00004035" . "Packing cones and their negatives in space"@en .