スギモト タケシ   Sugimoto Takeshi
  杉本 剛
   所属   神奈川大学  工学部 情報システム創成学科
    神奈川大学大学院  工学研究科 工学専攻(情報システム創成領域)
   職種   教授
言語種別 英語
発行・発表の年月 2020/12
形態種別 学術雑誌
査読 査読あり
標題 The Metallic Right-Triangles
執筆形態 単著
掲載誌名 Forma
掲載区分国内
出版社・発行元 Society for Science on Form, Japan
巻・号・頁 35(1),pp.33-35
概要 The Kepler triangle and its kin are systematically described by the unique formalism (Sugimoto, 2020). The
present study affords the super-set of the formalism covering the above-mentioned triangles and other new triangles based on the metallic means and the generalised Fibonacci sequences adjoined to those means. The super-set is given by (the short leg, the long leg, the hypotenuse) = (G^{1/2}_{n−2}(m),m1/2\phi^{n/2}(m), G^{1/2}_{n}(m)\phi(m)),where G_{n}(m) and \phi(m) designate the nth generalised Fibonacci sequence and the metal mean of the metal number 'm', respectively. The initial members of the golden, silver and bronze right-triangles are presented.