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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク List of shapes with known packing constant ： ウィキペディア英語版 List of shapes with known packing constant The packing constant of a geometric body is the largest average density achieved by packing arrangements of congruent copies of the body. For most bodies the value of the packing constant is unknown. The following is a list of bodies in Euclidean spaces whose packing constant is known.〔 Fejes Tóth proved that in the plane, a point symmetric body has a packing constant that is equal to its translative packing constant and its lattice packing constant. Therefore, any such body for which the lattice packing constant was previously known, such as any ellipse, consequently has a known packing constant. In addition to these bodies, the packing constants of hyperspheres in 8 and 24 dimensions are almost exactly known. -\ln } \approx 0.902414 \, . || Reinhardt |- | || All 2-fold symmetric convex polygons || 2 || || Linear-time (in number of vertices) algorithm given by Mount and Silverman |- | || Sphere || 3 || || See Kepler conjecture |- | || Bi-infinite cylinder || 3 || || Bezdek and Kuperberg |- | || All shapes contained in a rhombic dodecahedron whose inscribed sphere is contained in the shape || 3 || Fraction of the volume of the rhombic dodecahedron filled by the shape || Corollary of Kepler conjecture. Examples pictured: rhombicuboctahedron and rhombic enneacontahedron. |} ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「List of shapes with known packing constant」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.