Packing Cones and Their Negatives in Space
نویسندگان
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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Packing rectangular shapes into a rectangular space is one of the most important discussions on Cutting & Packing problems (C;P) such as: cutting problem, bin-packing problem and distributor's pallet loading problem, etc. Assume a set of rectangular pieces with specific lengths, widths and utility values. Also assume a rectangular packing space with specific width and length. The objective fu...
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عنوان ژورنال:
- Discrete & Computational Geometry
دوره 38 شماره
صفحات -
تاریخ انتشار 2007