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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 Circle packing in a square ： ウィキペディア英語版 Circle packing in a square Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack ''n'' unit circles into the smallest possible square; or, equivalently, to arrange ''n'' points in a unit square for the greatest minimal separation, ''dn'', between points. To convert between these two formulations of the problem, the square side for unit circles will be $L=2+\backslash frac$. Solutions (not necessarily optimal) have been computed for every ''N''≤10,000. Solutions up to ''N''=20 are shown below.:〔 ≈ 1.414... | 0.172... | |- | 3 | $2+\backslash frac+\backslash frac$ ≈ 3.931... | $\backslash sqrt\; -\; \backslash sqrt$ ≈ 1.035... | 0.194... | |- | 4 | 4 | 1 | 0.25 | |- | 5 | $2+2\backslash sqrt$ ≈ 4.828... | $\backslash frac\; \backslash sqrt$ ≈ 0.707... | 0.215... | |- | 6 | $2\; +\; \backslash frac\; \backslash sqrt$ ≈ 0.601... | 0.211... | |- | 7 | $4+\; \backslash sqrt$ ≈ 5.732... | $4-\; 2\backslash sqrt$ ≈ 0.536... | 0.213... | |- | 8 | $2\; +\; \backslash sqrt\; +\; \backslash sqrt$ ≈ 5.863... | $\backslash frac(\backslash sqrt\; -\; \backslash sqrt)$ ≈ 0.518... | 0.233... | |- | 9 | 6 | 0.5 | 0.25 | |- | 10 | 6.747... | 0.421... | 0.220... | |- | 11 | 7.022... | 0.398... | 0.223... | |- | 12 | $2\; +\; 15\backslash sqrt\}$ ≈ 7.144... | 0.389... | 0.235... | |- | 13 | 7.463... | 0.366... | 0.233... | |- | 14 | $6\; +\; \backslash sqrt$ ≈ 7.732... | 0.348... | 0.226... | |- | 15 | $4\; +\; \backslash sqrt\; +\; \backslash sqrt$ ≈ 7.863... | 0.341... | 0.243... | |- | 16 | 8 | 0.333... | 0.25 | |- | 17 | 8.532... | 0.306... | 0.234... | |- | 18 | $2\; +\; \backslash frac\; +\; \backslash frac\; \backslash sqrt$ ≈ 8.978... | 0.287... | 0.248... | |} ==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「Circle packing in a square」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.