研究者情報 | 神奈川大学

スギモト　タケシ Sugimoto Takeshi 杉本　剛所属神奈川大学情報学部システム数理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.