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	2020/04
形態種別	学術雑誌
査読	査読あり
標題	The Kepler Triangle and Its Kin
執筆形態	単著
掲載誌名	Forma
掲載区分	国内
出版社・発行元	Soc. Sci. Form
巻・号・頁	35(1),pp.1-2
概要	The Kepler triangle, also known as the golden right triangle, is the right triangle with its sides of ratios '1 : phi^1/2 : phi,' where phi denotes the golden ratio. Also known are the silver right triangle and the square-root-three phi right triangle. This study introduces the generalised golden right triangle, which have sides of lengths closely related to phi and the Fibonacci numbers, Fn: '(Fn-2)^1/2 : phi^n/2 : (Fn)1/2 phi' for any natural number n. This formalism covers all the known phi-related right triangle, i.e., the Kepler triangle and its kin. As n tends to infinity, the ratios of the sides goes to 'phi^-1 : 5^1/4 : phi.' Our model plays an important role in the classroom to study the golden ratio, the Fibonacci numbers and the Pythagorean theorem.