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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 Pentagonal icositetrahedron ： ウィキペディア英語版 Pentagonal icositetrahedron In geometry, a pentagonal icositetrahedron or pentagonal icosikaitetrahedron〔Conway, Symmetries of things, p.284〕 is a Catalan solid which is the dual of the snub cube. In crystallography it is also called a gyroid.〔http://www.metafysica.nl/turing/promorph_crystals.html〕〔http://www.tulane.edu/~sanelson/eens211/forms_zones_habit.htm〕 It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. == Geometry== Denote the tribonacci constant by ''t'', approximately 1.8393. (See snub cube for a geometric explanation of the tribonacci constant.) Then the pentagonal faces have four angles of $\backslash cos^\backslash left(\backslash frac\backslash right)\backslash approx$ 114.8° and one angle of $\backslash cos^(2-t)\backslash approx$ 80.75°. The pentagon has three short edges of unit length each, and two long edges of length $\backslash frac\backslash approx1.42$. The acute angle is between the two long edges. If its dual snub cube has unit edge length, its surface area is $\backslash scriptstyle\backslash sqrt\}\; \backslash scriptstyle$ and its volume is $\backslash sqrt\}\; \backslash scriptstyle$. 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「Pentagonal icositetrahedron」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.