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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 Centered octahedral number ： ウィキペディア英語版 Centered octahedral number A centered octahedral number or Haüy octahedral number is a figurate number that counts the number of points of a three-dimensional integer lattice that lie inside an octahedron centered at the origin.〔 The same numbers are special cases of the Delannoy numbers, which count certain two-dimensional lattice paths.〔 The Haüy octahedral numbers are named after René Just Haüy. ==History== The name "Haüy octahedral number" comes from the work of René Just Haüy, a French mineralogist active in the late 18th and early 19th centuries. His "Haüy construction" approximates an octahedron as a polycube, formed by accreting concentric layers of cubes onto a central cube. The centered octahedral numbers count the number of cubes used by this construction. Haüy proposed this construction, and several related constructions of other polyhedra, as a model for the structure of crystalline minerals.〔. See in particular (p. 10 ).〕〔. See in particular (pp. 13–14 ). As cited by 〕 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「Centered octahedral number」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.