|
Polynomiography is the algorithmic visualization of polynomial equations for aesthetic, mathematical, and educational purposes. It is a nascent technique for polynomial root-finding with potential application in art, mathematics, and education. == Introduction == The concept of Polynomiography arose out of a problem concerning polynomial root-finding in the 1990s by Bahman Kalantari. Kalantari became interested in polynomial root-finding when he was designing masters’ questions for an exam, related to approximations of the square root of two. As he delved deeper into the matter, his interest was piqued at the possibility of generating computer visualizations of the root-finding process. Images thus generated would be related to fractals, but distinct in that the former affords more control over the design than the latter.〔(【引用サイトリンク】author=Bahman Kalantari )〕 Additionally, a polynomiography image, called a ''polynomiograph'', does not necessarily exhibit fractal patterns. Image:Nonfractal polynomiograph.png|Non-fractal polynomiograph of the polynomial Image:Newtroot 1 0 0 m1.png|Newton fractal for three degree-3 roots coloured by root reached The name ''polynomiography'' was subsequently coined in 2000 as a portmanteau of the words polynomial and the Greek suffix ''-graphy''.〔(), ACM SIGGRAPH, Volume 38 Number 3, August 2004.〕 In 2005 Kalantari obtained a U.S. patent for the technology of Polynomiography. 〔(【引用サイトリンク】author=Krzysztof Gdawiec )〕 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「Polynomiography」の詳細全文を読む スポンサード リンク
|