翻訳と辞書 Words near each other ・ Superia ・ Superia (disambiguation) ・ Superia (game) ・ Superieur Schistes du Landeyran ・ Superillu ・ Superimposed (band) ・ Superimposed code ・ Superimposition ・ Superimposition (album) ・ Superincreasing sequence ・ Superinfection ・ Superinsulation ・ Superinsulator ・ Superformatting ・ Superforming ・ Superformula ・ Superfox ・ Superfragilistically ・ Superframe ・ Superfrank! ・ SuperFreakonomics ・ Superfrog ・ Superfrog Triathlon ・ Superfruit (web show) ・ SuperFuckers ・ Superfudge ・ Superfunction ・ Superfund ・ Superfund (disambiguation) ・ Superfund Group Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Superformula ： ウィキペディア英語版 Superformula The superformula is a generalization of the superellipse and was first proposed by Johan Gielis in 2003.〔 * 〕 Gielis suggested that the formula can be used to describe many complex shapes and curves that are found in nature. The upcoming computer game ''No Man's Sky'' heavily employs the superformula for the procedural generation of its digital universe. In polar coordinates, with $r$ the radius and $\backslash varphi$ the angle, the superformula is: :$r\backslash left(\backslash varphi\backslash right)\; =$ \left( \left| \frac\right)} \right| ^ + \left| \frac\right)} \right| ^ \right) ^}}. By choosing different values for the parameters $a,\; b,\; m,\; n\_1,\; n\_2,\; n\_3$, different shapes can be generated. The formula was obtained by generalizing the superellipse, named and popularized by Piet Hein, a Danish mathematician. ==Extension to higher dimensions == It is possible to extend the formula to 3, 4, or ''n'' dimensions, by means of the spherical product of superformulas. For example, the 3D parametric surface is obtained by multiplying two superformulas ''r''1 and ''r''2. The coordinates are defined by the relations: :$x\; =\; r\_1(\backslash theta)\backslash cos\backslash theta\; \backslash cdot\; r\_2(\backslash phi)\backslash cos\backslash phi,$ :$y\; =\; r\_1(\backslash theta)\backslash sin\backslash theta\; \backslash cdot\; r\_2(\backslash phi)\backslash cos\backslash phi,$ :$z\; =\; r\_2(\backslash phi)\backslash sin\backslash phi,$ where $\backslash phi$ (latitude) varies between −''π''/2 and ''π''/2 and ''θ'' (longitude) between −''π'' and ''π''. 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「Superformula」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.