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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 pinwheel tiling ： ウィキペディア英語版 pinwheel tiling Pinwheel tilings are non-periodic tilings defined by Charles Radin and based on a construction due to John Conway. They are the first known non-periodic tilings to each have the property that their tiles appear in infinitely many orientations. ==The Conway tessellation== Let $T$ be the right triangle with side length $1$, $2$ and $\backslash sqrt$. Conway noticed that $T$ can be divided in five isometric copies of its image by the dilation of factor $1/\backslash sqrt$. By suitably rescaling and translating/rotating, this operation can be iterated to obtain an infinite increasing sequence of growing triangles all made of isometric copies of $T$. The union of all these triangles yields a tiling of the whole plane by isometric copies of $T$. In this tiling, isometric copies of $T$ appears in infinitely many orientations (this is due to the angles $\backslash arctan(1/2)$ and $\backslash arctan(2)$ of $T$, both non-commensurable with $\backslash pi$). Despite this, all the vertices have rational coordinates. 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「pinwheel tiling」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.