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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 Seashell surface ： ウィキペディア英語版 Seashell surface In mathematics, a seashell surface is a surface made by a circle which spirals up the ''z''-axis while decreasing its own radius and distance from the ''z''-axis. Not all seashell surfaces describe actual seashells found in nature. ==Parametrization== The following is a parameterization of one seashell surface: :$\backslash begin$ x & \left(1-\frac\right)\cos(2v)(1+\cos u)+\cos 2v \\ \\ y & \left(1-\frac\right)\sin(2v)(1+\cos u)+\sin 2v \\ \\ z & +\frac\left(1-\frac\right)\sin(u)+15 \end where and \\ Various authors have suggested different models for the shape of shell. David M. Raup proposed a model where there is one magnification for the x-y plane, and another for the x-z plane. Chris Illert〔Dr Chris Illert was awarded his Ph.D. on 26 September 2013 at the University of Western Sydney http://www.uws.edu.au/__data/assets/image/0004/547060/2013_ICS_Graduates.jpg. Enquiries about his work can be directed to the University of Wollongong via Michael Organ. http://www.uow.edu.au/~morgan〕 proposed a model where the magnification is scalar, and the same for any sense or direction with an equation like :$$ \vec\left( \right) = e^ \left( c} & & & & 0 \\ & } & 1 \\ \end} \right)\vec\left( \right) which starts with an initial generating curve $\backslash vec\backslash left(\; \backslash right)$ and applies a rotation and exponential magnification. 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「Seashell surface」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.